id	sid	tid	token	lemma	pos
work_srieqfzrnjgrrmg6vwffxlf4re	1	1	960	960	CD
work_srieqfzrnjgrrmg6vwffxlf4re	1	2	BOOK	book	NN
work_srieqfzrnjgrrmg6vwffxlf4re	1	3	REVIEWS	review	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	1	4	applications	application	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	1	5	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	1	6	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	1	7	manner	manner	NN
work_srieqfzrnjgrrmg6vwffxlf4re	1	8	analogous	analogous	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	1	9	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	1	10	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	1	11	spinoffs	spinoff	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	1	12	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	1	13	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	1	14	switching	switching	NN
work_srieqfzrnjgrrmg6vwffxlf4re	1	15	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	1	16	information	information	NN
work_srieqfzrnjgrrmg6vwffxlf4re	1	17	theories	theory	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	1	18	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	2	1	Indeed	indeed	RB
work_srieqfzrnjgrrmg6vwffxlf4re	2	2	not	not	RB
work_srieqfzrnjgrrmg6vwffxlf4re	2	3	every	every	DT
work_srieqfzrnjgrrmg6vwffxlf4re	2	4	present	present	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	2	5	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	2	6	day	day	NN
work_srieqfzrnjgrrmg6vwffxlf4re	2	7	systems	system	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	2	8	engineer	engineer	NN
work_srieqfzrnjgrrmg6vwffxlf4re	2	9	would	would	MD
work_srieqfzrnjgrrmg6vwffxlf4re	2	10	have	have	VB
work_srieqfzrnjgrrmg6vwffxlf4re	2	11	been	be	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	2	12	able	able	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	2	13	to	to	TO
work_srieqfzrnjgrrmg6vwffxlf4re	2	14	cope	cope	VB
work_srieqfzrnjgrrmg6vwffxlf4re	2	15	directly	directly	RB
work_srieqfzrnjgrrmg6vwffxlf4re	2	16	with	with	IN
work_srieqfzrnjgrrmg6vwffxlf4re	2	17	early	early	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	2	18	Caldwell	Caldwell	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	2	19	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	2	20	Huffman	Huffman	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	2	21	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	2	22	Shannon	Shannon	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	2	23	or	or	CC
work_srieqfzrnjgrrmg6vwffxlf4re	2	24	Wiener	Wiener	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	2	25	;	;	:
work_srieqfzrnjgrrmg6vwffxlf4re	2	26	nevertheless	nevertheless	RB
work_srieqfzrnjgrrmg6vwffxlf4re	2	27	he	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	2	28	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	2	29	now	now	RB
work_srieqfzrnjgrrmg6vwffxlf4re	2	30	indirectly	indirectly	RB
work_srieqfzrnjgrrmg6vwffxlf4re	2	31	applying	apply	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	2	32	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	2	33	results	result	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	2	34	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	2	35	those	those	DT
work_srieqfzrnjgrrmg6vwffxlf4re	2	36	early	early	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	2	37	investigations	investigation	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	2	38	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	3	1	It	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	3	2	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	3	3	hoped	hope	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	3	4	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	3	5	however	however	RB
work_srieqfzrnjgrrmg6vwffxlf4re	3	6	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	3	7	that	that	IN
work_srieqfzrnjgrrmg6vwffxlf4re	3	8	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	3	9	its	-PRON-	PRP$
work_srieqfzrnjgrrmg6vwffxlf4re	3	10	final	final	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	3	11	form	form	NN
work_srieqfzrnjgrrmg6vwffxlf4re	3	12	this	this	DT
work_srieqfzrnjgrrmg6vwffxlf4re	3	13	prototype	prototype	NN
work_srieqfzrnjgrrmg6vwffxlf4re	3	14	will	will	MD
work_srieqfzrnjgrrmg6vwffxlf4re	3	15	become	become	VB
work_srieqfzrnjgrrmg6vwffxlf4re	3	16	more	more	RBR
work_srieqfzrnjgrrmg6vwffxlf4re	3	17	accessible	accessible	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	3	18	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	4	1	In	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	4	2	warning	warn	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	4	3	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	4	4	reader	reader	NN
work_srieqfzrnjgrrmg6vwffxlf4re	4	5	that	that	IN
work_srieqfzrnjgrrmg6vwffxlf4re	4	6	his	-PRON-	PRP$
work_srieqfzrnjgrrmg6vwffxlf4re	4	7	growth	growth	NN
work_srieqfzrnjgrrmg6vwffxlf4re	4	8	patterns	pattern	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	4	9	should	should	MD
work_srieqfzrnjgrrmg6vwffxlf4re	4	10	be	be	VB
work_srieqfzrnjgrrmg6vwffxlf4re	4	11	seen	see	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	4	12	as	as	IN
work_srieqfzrnjgrrmg6vwffxlf4re	4	13	mathemat-	mathemat-	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	4	14	ical	ical	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	4	15	constructs	construct	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	4	16	rather	rather	RB
work_srieqfzrnjgrrmg6vwffxlf4re	4	17	than	than	IN
work_srieqfzrnjgrrmg6vwffxlf4re	4	18	biological	biological	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	4	19	realities	reality	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	4	20	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	4	21	Grenander	Grenander	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	4	22	quotes	quote	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	4	23	Rosen	Rosen	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	4	24	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	4	25	biological	biological	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	4	26	morphogenesis	morphogenesis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	4	27	:	:	:
work_srieqfzrnjgrrmg6vwffxlf4re	4	28	one	one	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	4	29	investigates	investigate	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	4	30	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	4	31	capability	capability	NN
work_srieqfzrnjgrrmg6vwffxlf4re	4	32	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	4	33	models	model	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	4	34	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	5	1	This	this	DT
work_srieqfzrnjgrrmg6vwffxlf4re	5	2	reviewer	reviewer	NN
work_srieqfzrnjgrrmg6vwffxlf4re	5	3	has	have	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	5	4	pointed	point	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	5	5	out	out	RP
work_srieqfzrnjgrrmg6vwffxlf4re	5	6	elsewhere	elsewhere	RB
work_srieqfzrnjgrrmg6vwffxlf4re	5	7	that	that	WDT
work_srieqfzrnjgrrmg6vwffxlf4re	5	8	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	5	9	similarity	similarity	NN
work_srieqfzrnjgrrmg6vwffxlf4re	5	10	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	5	11	patterns	pattern	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	5	12	occurring	occur	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	5	13	at	at	IN
work_srieqfzrnjgrrmg6vwffxlf4re	5	14	widely	widely	RB
work_srieqfzrnjgrrmg6vwffxlf4re	5	15	different	different	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	5	16	scales	scale	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	5	17	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	5	18	due	due	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	5	19	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	5	20	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	5	21	fact	fact	NN
work_srieqfzrnjgrrmg6vwffxlf4re	5	22	that	that	IN
work_srieqfzrnjgrrmg6vwffxlf4re	5	23	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	5	24	specific	specific	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	5	25	nature	nature	NN
work_srieqfzrnjgrrmg6vwffxlf4re	5	26	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	5	27	interactive	interactive	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	5	28	forces	force	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	5	29	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	5	30	frequently	frequently	RB
work_srieqfzrnjgrrmg6vwffxlf4re	5	31	superseded	supersede	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	5	32	by	by	IN
work_srieqfzrnjgrrmg6vwffxlf4re	5	33	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	5	34	properties	property	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	5	35	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	5	36	three	three	CD
work_srieqfzrnjgrrmg6vwffxlf4re	5	37	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	5	38	dimensional	dimensional	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	5	39	space	space	NN
work_srieqfzrnjgrrmg6vwffxlf4re	5	40	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	5	41	which	which	WDT
work_srieqfzrnjgrrmg6vwffxlf4re	5	42	permit	permit	VBP
work_srieqfzrnjgrrmg6vwffxlf4re	5	43	but	but	CC
work_srieqfzrnjgrrmg6vwffxlf4re	5	44	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	5	45	limited	limited	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	5	46	repertoire	repertoire	NN
work_srieqfzrnjgrrmg6vwffxlf4re	5	47	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	5	48	patterns	pattern	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	5	49	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	5	50	connectivities	connectivity	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	5	51	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	6	1	Therefore	therefore	RB
work_srieqfzrnjgrrmg6vwffxlf4re	6	2	these	these	DT
work_srieqfzrnjgrrmg6vwffxlf4re	6	3	mathematical	mathematical	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	6	4	constructs	construct	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	6	5	have	have	VBP
work_srieqfzrnjgrrmg6vwffxlf4re	6	6	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	6	7	validity	validity	NN
work_srieqfzrnjgrrmg6vwffxlf4re	6	8	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	6	9	equilibrium	equilibrium	NN
work_srieqfzrnjgrrmg6vwffxlf4re	6	10	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	6	11	steady	steady	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	6	12	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	6	13	state	state	NN
work_srieqfzrnjgrrmg6vwffxlf4re	6	14	systems	system	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	6	15	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	6	16	regardless	regardless	RB
work_srieqfzrnjgrrmg6vwffxlf4re	6	17	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	6	18	specific	specific	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	6	19	interactive	interactive	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	6	20	forces	force	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	6	21	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	7	1	A.	A.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	7	2	L.	L.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	7	3	LOEB	LOEB	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	7	4	BULLETIN	BULLETIN	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	7	5	OF	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	7	6	THE	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	7	7	AMERICAN	AMERICAN	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	7	8	MATHEMATICAL	MATHEMATICAL	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	7	9	SOCIETY	SOCIETY	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	7	10	Volume	Volume	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	7	11	83	83	CD
work_srieqfzrnjgrrmg6vwffxlf4re	7	12	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	7	13	Number	number	NN
work_srieqfzrnjgrrmg6vwffxlf4re	7	14	5	5	CD
work_srieqfzrnjgrrmg6vwffxlf4re	7	15	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	7	16	September	September	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	7	17	1977	1977	CD
work_srieqfzrnjgrrmg6vwffxlf4re	7	18	Spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	7	19	synthesis	synthesis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	7	20	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	7	21	by	by	IN
work_srieqfzrnjgrrmg6vwffxlf4re	7	22	John	John	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	7	23	J.	J.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	7	24	Benedetto	Benedetto	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	7	25	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	7	26	Academic	Academic	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	7	27	Press	Press	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	7	28	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	7	29	Inc.	Inc.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	7	30	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	7	31	New	New	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	7	32	York	York	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	7	33	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	7	34	1975	1975	CD
work_srieqfzrnjgrrmg6vwffxlf4re	7	35	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	7	36	278	278	CD
work_srieqfzrnjgrrmg6vwffxlf4re	7	37	pp	pp	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	7	38	.	.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	7	39	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	7	40	$	$	$
work_srieqfzrnjgrrmg6vwffxlf4re	7	41	27.50	27.50	CD
work_srieqfzrnjgrrmg6vwffxlf4re	7	42	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	8	1	Let	let	VB
work_srieqfzrnjgrrmg6vwffxlf4re	8	2	$	$	$
work_srieqfzrnjgrrmg6vwffxlf4re	8	3	be	be	VB
work_srieqfzrnjgrrmg6vwffxlf4re	8	4	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	8	5	L	l	NN
work_srieqfzrnjgrrmg6vwffxlf4re	8	6	°	°	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	8	7	°	°	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	8	8	(R	(R	NFP
work_srieqfzrnjgrrmg6vwffxlf4re	8	9	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	8	10	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	9	1	If	if	IN
work_srieqfzrnjgrrmg6vwffxlf4re	9	2	<	<	XX
work_srieqfzrnjgrrmg6vwffxlf4re	9	3	&	&	CC
work_srieqfzrnjgrrmg6vwffxlf4re	9	4	can	can	MD
work_srieqfzrnjgrrmg6vwffxlf4re	9	5	be	be	VB
work_srieqfzrnjgrrmg6vwffxlf4re	9	6	written	write	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	9	7	as	as	IN
work_srieqfzrnjgrrmg6vwffxlf4re	9	8	n	n	CC
work_srieqfzrnjgrrmg6vwffxlf4re	9	9	$	$	$
work_srieqfzrnjgrrmg6vwffxlf4re	9	10	(	(	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	9	11	*	*	NFP
work_srieqfzrnjgrrmg6vwffxlf4re	9	12	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	9	13	=	=	NFP
work_srieqfzrnjgrrmg6vwffxlf4re	9	14	2	2	CD
work_srieqfzrnjgrrmg6vwffxlf4re	9	15	ckexp(ixyk)9	ckexp(ixyk)9	NN
work_srieqfzrnjgrrmg6vwffxlf4re	9	16	then	then	RB
work_srieqfzrnjgrrmg6vwffxlf4re	9	17	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	9	18	set	set	NN
work_srieqfzrnjgrrmg6vwffxlf4re	9	19	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	9	20	characters	character	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	9	21	{	{	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	9	22	exp^xy^	exp^xy^	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	9	23	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	9	24	:	:	:
work_srieqfzrnjgrrmg6vwffxlf4re	9	25	k	k	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	9	26	=	=	SYM
work_srieqfzrnjgrrmg6vwffxlf4re	9	27	1	1	CD
work_srieqfzrnjgrrmg6vwffxlf4re	9	28	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	9	29	...	...	:
work_srieqfzrnjgrrmg6vwffxlf4re	9	30	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	9	31	«	«	''
work_srieqfzrnjgrrmg6vwffxlf4re	9	32	}	}	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	9	33	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	9	34	called	call	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	9	35	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	9	36	spectrum	spectrum	NN
work_srieqfzrnjgrrmg6vwffxlf4re	9	37	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	9	38	$	$	$
work_srieqfzrnjgrrmg6vwffxlf4re	9	39	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	9	40	denoted	denote	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	9	41	sp	sp	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	9	42	$	$	$
work_srieqfzrnjgrrmg6vwffxlf4re	9	43	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	10	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	10	2	set	set	NN
work_srieqfzrnjgrrmg6vwffxlf4re	10	3	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	10	4	translates	translate	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	10	5	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	10	6	<3	<3	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	10	7	>	>	XX
work_srieqfzrnjgrrmg6vwffxlf4re	10	8	spans	span	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	10	9	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	10	10	finite	finite	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	10	11	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	10	12	dimensional	dimensional	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	10	13	subspace	subspace	NN
work_srieqfzrnjgrrmg6vwffxlf4re	10	14	%	%	NN
work_srieqfzrnjgrrmg6vwffxlf4re	10	15	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	10	16	L00	L00	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	10	17	(	(	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	10	18	R	R	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	10	19	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	10	20	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	10	21	namely	namely	RB
work_srieqfzrnjgrrmg6vwffxlf4re	10	22	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	10	23	linear	linear	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	10	24	span	span	NN
work_srieqfzrnjgrrmg6vwffxlf4re	10	25	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	10	26	sp	sp	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	10	27	$	$	$
work_srieqfzrnjgrrmg6vwffxlf4re	10	28	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	11	1	In	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	11	2	fact	fact	NN
work_srieqfzrnjgrrmg6vwffxlf4re	11	3	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	11	4	sp	sp	RB
work_srieqfzrnjgrrmg6vwffxlf4re	11	5	$	$	$
work_srieqfzrnjgrrmg6vwffxlf4re	11	6	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	11	7	exactly	exactly	RB
work_srieqfzrnjgrrmg6vwffxlf4re	11	8	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	11	9	set	set	NN
work_srieqfzrnjgrrmg6vwffxlf4re	11	10	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	11	11	characters	character	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	11	12	exp(ixy	exp(ixy	RB
work_srieqfzrnjgrrmg6vwffxlf4re	11	13	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	11	14	belonging	belong	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	11	15	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	11	16	%	%	NN
work_srieqfzrnjgrrmg6vwffxlf4re	11	17	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	12	1	Thus	thus	RB
work_srieqfzrnjgrrmg6vwffxlf4re	12	2	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	12	3	linear	linear	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	12	4	span	span	NN
work_srieqfzrnjgrrmg6vwffxlf4re	12	5	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	12	6	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	12	7	translates	translate	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	12	8	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	12	9	O	o	NN
work_srieqfzrnjgrrmg6vwffxlf4re	12	10	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	12	11	determined	determine	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	12	12	by	by	IN
work_srieqfzrnjgrrmg6vwffxlf4re	12	13	its	-PRON-	PRP$
work_srieqfzrnjgrrmg6vwffxlf4re	12	14	spectrum	spectrum	NN
work_srieqfzrnjgrrmg6vwffxlf4re	12	15	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	13	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	13	2	problem	problem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	13	3	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	13	4	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	13	5	synthesis	synthesis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	13	6	for	for	IN
work_srieqfzrnjgrrmg6vwffxlf4re	13	7	bounded	bounded	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	13	8	functions	function	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	13	9	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	13	10	to	to	TO
work_srieqfzrnjgrrmg6vwffxlf4re	13	11	study	study	VB
work_srieqfzrnjgrrmg6vwffxlf4re	13	12	suitable	suitable	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	13	13	generalizations	generalization	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	13	14	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	13	15	this	this	DT
work_srieqfzrnjgrrmg6vwffxlf4re	13	16	simple	simple	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	13	17	observation	observation	NN
work_srieqfzrnjgrrmg6vwffxlf4re	13	18	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	14	1	That	that	RB
work_srieqfzrnjgrrmg6vwffxlf4re	14	2	is	is	RB
work_srieqfzrnjgrrmg6vwffxlf4re	14	3	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	14	4	given	give	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	14	5	$	$	$
work_srieqfzrnjgrrmg6vwffxlf4re	14	6	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	14	7	L	l	NN
work_srieqfzrnjgrrmg6vwffxlf4re	14	8	°	°	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	14	9	°	°	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	14	10	(R	(R	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	14	11	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	14	12	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	14	13	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	14	14	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	14	15	smallest	small	JJS
work_srieqfzrnjgrrmg6vwffxlf4re	14	16	translation-	translation-	NN
work_srieqfzrnjgrrmg6vwffxlf4re	14	17	invariant	invariant	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	14	18	subspace	subspace	NN
work_srieqfzrnjgrrmg6vwffxlf4re	14	19	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	14	20	L	l	NN
work_srieqfzrnjgrrmg6vwffxlf4re	14	21	°	°	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	14	22	°	°	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	14	23	(R	(R	NFP
work_srieqfzrnjgrrmg6vwffxlf4re	14	24	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	14	25	containing	contain	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	14	26	$	$	$
work_srieqfzrnjgrrmg6vwffxlf4re	14	27	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	14	28	closed	close	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	14	29	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	14	30	some	some	DT
work_srieqfzrnjgrrmg6vwffxlf4re	14	31	topology	topology	NN
work_srieqfzrnjgrrmg6vwffxlf4re	14	32	generated	generate	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	14	33	by	by	IN
work_srieqfzrnjgrrmg6vwffxlf4re	14	34	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	14	35	spectrum	spectrum	NN
work_srieqfzrnjgrrmg6vwffxlf4re	14	36	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	14	37	O	o	NN
work_srieqfzrnjgrrmg6vwffxlf4re	14	38	?	?	.
work_srieqfzrnjgrrmg6vwffxlf4re	15	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	15	2	problem	problem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	15	3	has	have	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	15	4	been	be	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	15	5	studied	study	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	15	6	with	with	IN
work_srieqfzrnjgrrmg6vwffxlf4re	15	7	various	various	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	15	8	topologies	topology	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	15	9	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	15	10	L00	L00	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	15	11	(	(	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	15	12	R	R	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	15	13	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	15	14	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	15	15	but	but	CC
work_srieqfzrnjgrrmg6vwffxlf4re	15	16	for	for	IN
work_srieqfzrnjgrrmg6vwffxlf4re	15	17	many	many	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	15	18	purposes	purpose	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	15	19	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	15	20	most	most	RBS
work_srieqfzrnjgrrmg6vwffxlf4re	15	21	suitable	suitable	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	15	22	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	15	23	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	15	24	weak-	weak-	NN
work_srieqfzrnjgrrmg6vwffxlf4re	15	25	*	*	NN
work_srieqfzrnjgrrmg6vwffxlf4re	15	26	topology	topology	NN
work_srieqfzrnjgrrmg6vwffxlf4re	15	27	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	16	1	Also	also	RB
work_srieqfzrnjgrrmg6vwffxlf4re	16	2	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	16	3	setting	setting	NN
work_srieqfzrnjgrrmg6vwffxlf4re	16	4	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	16	5	often	often	RB
work_srieqfzrnjgrrmg6vwffxlf4re	16	6	generalized	generalize	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	16	7	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	16	8	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	16	9	locally	locally	RB
work_srieqfzrnjgrrmg6vwffxlf4re	16	10	compact	compact	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	16	11	abelian	abelian	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	16	12	group	group	NN
work_srieqfzrnjgrrmg6vwffxlf4re	16	13	G	g	NN
work_srieqfzrnjgrrmg6vwffxlf4re	16	14	with	with	IN
work_srieqfzrnjgrrmg6vwffxlf4re	16	15	character	character	NN
work_srieqfzrnjgrrmg6vwffxlf4re	16	16	group	group	NN
work_srieqfzrnjgrrmg6vwffxlf4re	16	17	T.	T.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	16	18	In	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	16	19	our	-PRON-	PRP$
work_srieqfzrnjgrrmg6vwffxlf4re	16	20	discussion	discussion	NN
work_srieqfzrnjgrrmg6vwffxlf4re	16	21	above	above	RB
work_srieqfzrnjgrrmg6vwffxlf4re	16	22	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	16	23	G	g	NN
work_srieqfzrnjgrrmg6vwffxlf4re	16	24	=	=	SYM
work_srieqfzrnjgrrmg6vwffxlf4re	16	25	R	r	NN
work_srieqfzrnjgrrmg6vwffxlf4re	16	26	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	16	27	T	t	NN
work_srieqfzrnjgrrmg6vwffxlf4re	16	28	=	=	NFP
work_srieqfzrnjgrrmg6vwffxlf4re	16	29	{	{	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	16	30	exp(ixy):y	exp(ixy):y	VB
work_srieqfzrnjgrrmg6vwffxlf4re	16	31	£	£	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	16	32	R}-	r}-	NN
work_srieqfzrnjgrrmg6vwffxlf4re	16	33	For	for	IN
work_srieqfzrnjgrrmg6vwffxlf4re	16	34	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	16	35	more	more	RBR
work_srieqfzrnjgrrmg6vwffxlf4re	16	36	general	general	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	16	37	set	set	NN
work_srieqfzrnjgrrmg6vwffxlf4re	16	38	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	16	39	up	up	RP
work_srieqfzrnjgrrmg6vwffxlf4re	16	40	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	16	41	let	let	VB
work_srieqfzrnjgrrmg6vwffxlf4re	16	42	<	<	XX
work_srieqfzrnjgrrmg6vwffxlf4re	16	43	&	&	CC
work_srieqfzrnjgrrmg6vwffxlf4re	16	44	be	be	VB
work_srieqfzrnjgrrmg6vwffxlf4re	16	45	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	16	46	L^iG	L^iG	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	16	47	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	16	48	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	16	49	let	let	VB
work_srieqfzrnjgrrmg6vwffxlf4re	16	50	3^	3^	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	16	51	be	be	VB
work_srieqfzrnjgrrmg6vwffxlf4re	16	52	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	16	53	smallest	small	JJS
work_srieqfzrnjgrrmg6vwffxlf4re	16	54	weak-*-closed	weak-*-close	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	16	55	translation	translation	NN
work_srieqfzrnjgrrmg6vwffxlf4re	16	56	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	16	57	invariant	invariant	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	16	58	subspace	subspace	NN
work_srieqfzrnjgrrmg6vwffxlf4re	16	59	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	16	60	L	l	NN
work_srieqfzrnjgrrmg6vwffxlf4re	16	61	°	°	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	16	62	°	°	,
work_srieqfzrnjgrrmg6vwffxlf4re	16	63	(G	(G	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	16	64	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	16	65	containing	contain	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	16	66	$	$	$
work_srieqfzrnjgrrmg6vwffxlf4re	16	67	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	17	1	For	for	IN
work_srieqfzrnjgrrmg6vwffxlf4re	17	2	any	any	DT
work_srieqfzrnjgrrmg6vwffxlf4re	17	3	weak-*-closed	weak-*-closed	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	17	4	translation	translation	NN
work_srieqfzrnjgrrmg6vwffxlf4re	17	5	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	17	6	invariant	invariant	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	17	7	subspace	subspace	NN
work_srieqfzrnjgrrmg6vwffxlf4re	17	8	Ï	Ï	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	17	9	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	17	10	L	L	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	17	11	°	°	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	17	12	°	°	,
work_srieqfzrnjgrrmg6vwffxlf4re	17	13	(G	(G	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	17	14	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	17	15	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	17	16	we	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	17	17	define	define	VBP
work_srieqfzrnjgrrmg6vwffxlf4re	17	18	its	-PRON-	PRP$
work_srieqfzrnjgrrmg6vwffxlf4re	17	19	spectrum	spectrum	NN
work_srieqfzrnjgrrmg6vwffxlf4re	17	20	as	as	IN
work_srieqfzrnjgrrmg6vwffxlf4re	17	21	?	?	.
work_srieqfzrnjgrrmg6vwffxlf4re	17	22	T	T	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	17	23	n	n	CC
work_srieqfzrnjgrrmg6vwffxlf4re	17	24	T.	T.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	17	25	And	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	17	26	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	17	27	spectrum	spectrum	NN
work_srieqfzrnjgrrmg6vwffxlf4re	17	28	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	17	29	O	o	NN
work_srieqfzrnjgrrmg6vwffxlf4re	17	30	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	17	31	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	17	32	by	by	IN
work_srieqfzrnjgrrmg6vwffxlf4re	17	33	definition	definition	NN
work_srieqfzrnjgrrmg6vwffxlf4re	17	34	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	17	35	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	17	36	spectrum	spectrum	NN
work_srieqfzrnjgrrmg6vwffxlf4re	17	37	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	17	38	?	?	.
work_srieqfzrnjgrrmg6vwffxlf4re	17	39	T$	T$	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	17	40	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	18	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	18	2	spectrum	spectrum	NN
work_srieqfzrnjgrrmg6vwffxlf4re	18	3	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	18	4	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	18	5	closed	closed	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	18	6	subset	subset	NN
work_srieqfzrnjgrrmg6vwffxlf4re	18	7	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	18	8	T	t	NN
work_srieqfzrnjgrrmg6vwffxlf4re	18	9	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	18	10	every	every	DT
work_srieqfzrnjgrrmg6vwffxlf4re	18	11	closed	close	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	18	12	subset	subset	NN
work_srieqfzrnjgrrmg6vwffxlf4re	18	13	E	e	NN
work_srieqfzrnjgrrmg6vwffxlf4re	18	14	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	18	15	T	T	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	18	16	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	18	17	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	18	18	spectrum	spectrum	NN
work_srieqfzrnjgrrmg6vwffxlf4re	18	19	for	for	IN
work_srieqfzrnjgrrmg6vwffxlf4re	18	20	at	at	RB
work_srieqfzrnjgrrmg6vwffxlf4re	18	21	least	least	RBS
work_srieqfzrnjgrrmg6vwffxlf4re	18	22	one	one	CD
work_srieqfzrnjgrrmg6vwffxlf4re	18	23	Ï.	ï.	NN
work_srieqfzrnjgrrmg6vwffxlf4re	19	1	If	if	IN
work_srieqfzrnjgrrmg6vwffxlf4re	19	2	there	there	EX
work_srieqfzrnjgrrmg6vwffxlf4re	19	3	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	19	4	exactly	exactly	RB
work_srieqfzrnjgrrmg6vwffxlf4re	19	5	one	one	CD
work_srieqfzrnjgrrmg6vwffxlf4re	19	6	%	%	NN
work_srieqfzrnjgrrmg6vwffxlf4re	19	7	i.e.	i.e.	FW
work_srieqfzrnjgrrmg6vwffxlf4re	20	1	if	if	IN
work_srieqfzrnjgrrmg6vwffxlf4re	20	2	E	e	NN
work_srieqfzrnjgrrmg6vwffxlf4re	20	3	determines	determine	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	20	4	Ï	Ï	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	20	5	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	20	6	License	license	NN
work_srieqfzrnjgrrmg6vwffxlf4re	20	7	or	or	CC
work_srieqfzrnjgrrmg6vwffxlf4re	20	8	copyright	copyright	NN
work_srieqfzrnjgrrmg6vwffxlf4re	20	9	restrictions	restriction	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	20	10	may	may	MD
work_srieqfzrnjgrrmg6vwffxlf4re	20	11	apply	apply	VB
work_srieqfzrnjgrrmg6vwffxlf4re	20	12	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	20	13	redistribution	redistribution	NN
work_srieqfzrnjgrrmg6vwffxlf4re	20	14	;	;	:
work_srieqfzrnjgrrmg6vwffxlf4re	20	15	see	see	VB
work_srieqfzrnjgrrmg6vwffxlf4re	20	16	https://www.ams.org/journal-terms-of-use	https://www.ams.org/journal-terms-of-use	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	20	17	BOOK	BOOK	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	20	18	REVIEWS	REVIEWS	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	20	19	961	961	CD
work_srieqfzrnjgrrmg6vwffxlf4re	20	20	this	this	DT
work_srieqfzrnjgrrmg6vwffxlf4re	20	21	sense	sense	NN
work_srieqfzrnjgrrmg6vwffxlf4re	20	22	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	20	23	then	then	RB
work_srieqfzrnjgrrmg6vwffxlf4re	20	24	E	E	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	20	25	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	20	26	called	call	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	20	27	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	20	28	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	20	29	set	set	NN
work_srieqfzrnjgrrmg6vwffxlf4re	20	30	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	21	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	21	2	problem	problem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	21	3	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	21	4	synthesis	synthesis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	21	5	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	21	6	I^{G	I^{G	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	21	7	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	21	8	can	can	MD
work_srieqfzrnjgrrmg6vwffxlf4re	21	9	equally	equally	RB
work_srieqfzrnjgrrmg6vwffxlf4re	21	10	well	well	RB
work_srieqfzrnjgrrmg6vwffxlf4re	21	11	be	be	VB
work_srieqfzrnjgrrmg6vwffxlf4re	21	12	regarded	regard	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	21	13	as	as	IN
work_srieqfzrnjgrrmg6vwffxlf4re	21	14	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	21	15	problem	problem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	21	16	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	21	17	i	i	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	21	18	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	21	19	(	(	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	21	20	G	g	NN
work_srieqfzrnjgrrmg6vwffxlf4re	21	21	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	21	22	since	since	IN
work_srieqfzrnjgrrmg6vwffxlf4re	21	23	there	there	EX
work_srieqfzrnjgrrmg6vwffxlf4re	21	24	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	21	25	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	21	26	one	one	CD
work_srieqfzrnjgrrmg6vwffxlf4re	21	27	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	21	28	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	21	29	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	21	30	one	one	CD
work_srieqfzrnjgrrmg6vwffxlf4re	21	31	correspondence	correspondence	NN
work_srieqfzrnjgrrmg6vwffxlf4re	21	32	between	between	IN
work_srieqfzrnjgrrmg6vwffxlf4re	21	33	weak-*-	weak-*-	NN
work_srieqfzrnjgrrmg6vwffxlf4re	21	34	closed	closed	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	21	35	translation	translation	NN
work_srieqfzrnjgrrmg6vwffxlf4re	21	36	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	21	37	invariant	invariant	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	21	38	subspaces	subspace	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	21	39	?	?	.
work_srieqfzrnjgrrmg6vwffxlf4re	21	40	T	T	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	21	41	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	21	42	L00	L00	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	21	43	(	(	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	21	44	G	G	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	21	45	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	21	46	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	21	47	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	21	48	closed	close	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	21	49	ideals	ideal	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	21	50	I	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	21	51	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	21	52	l}{G\	l}{g\	NN
work_srieqfzrnjgrrmg6vwffxlf4re	21	53	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	21	54	ideal	ideal	NN
work_srieqfzrnjgrrmg6vwffxlf4re	21	55	I	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	21	56	corresponding	correspond	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	21	57	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	21	58	?	?	.
work_srieqfzrnjgrrmg6vwffxlf4re	21	59	T	T	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	21	60	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	21	61	simply	simply	RB
work_srieqfzrnjgrrmg6vwffxlf4re	21	62	Ï	ï	NN
work_srieqfzrnjgrrmg6vwffxlf4re	21	63	1	1	CD
work_srieqfzrnjgrrmg6vwffxlf4re	21	64	=	=	SYM
work_srieqfzrnjgrrmg6vwffxlf4re	21	65	{	{	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	21	66	ƒ	ƒ	NN
work_srieqfzrnjgrrmg6vwffxlf4re	21	67	E	e	NN
work_srieqfzrnjgrrmg6vwffxlf4re	21	68	L	l	NN
work_srieqfzrnjgrrmg6vwffxlf4re	21	69	1	1	CD
work_srieqfzrnjgrrmg6vwffxlf4re	21	70	^	^	NN
work_srieqfzrnjgrrmg6vwffxlf4re	21	71	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	21	72	-	-	:
work_srieqfzrnjgrrmg6vwffxlf4re	21	73	<	<	XX
work_srieqfzrnjgrrmg6vwffxlf4re	21	74	$	$	$
work_srieqfzrnjgrrmg6vwffxlf4re	21	75	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	21	76	ƒ	ƒ	XX
work_srieqfzrnjgrrmg6vwffxlf4re	21	77	>	>	XX
work_srieqfzrnjgrrmg6vwffxlf4re	21	78	=	=	SYM
work_srieqfzrnjgrrmg6vwffxlf4re	21	79	0	0	CD
work_srieqfzrnjgrrmg6vwffxlf4re	21	80	for	for	IN
work_srieqfzrnjgrrmg6vwffxlf4re	21	81	all	all	DT
work_srieqfzrnjgrrmg6vwffxlf4re	21	82	$	$	$
work_srieqfzrnjgrrmg6vwffxlf4re	21	83	G	g	NN
work_srieqfzrnjgrrmg6vwffxlf4re	21	84	?	?	.
work_srieqfzrnjgrrmg6vwffxlf4re	21	85	T	T	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	21	86	}	}	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	21	87	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	22	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	22	2	spectrum	spectrum	NN
work_srieqfzrnjgrrmg6vwffxlf4re	22	3	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	22	4	?	?	.
work_srieqfzrnjgrrmg6vwffxlf4re	22	5	Tthen	Tthen	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	22	6	turns	turn	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	22	7	out	out	RP
work_srieqfzrnjgrrmg6vwffxlf4re	22	8	to	to	TO
work_srieqfzrnjgrrmg6vwffxlf4re	22	9	be	be	VB
work_srieqfzrnjgrrmg6vwffxlf4re	22	10	equal	equal	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	22	11	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	22	12	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	22	13	zero-	zero-	NN
work_srieqfzrnjgrrmg6vwffxlf4re	22	14	set	set	NN
work_srieqfzrnjgrrmg6vwffxlf4re	22	15	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	22	16	ƒ	ƒ	NN
work_srieqfzrnjgrrmg6vwffxlf4re	22	17	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	22	18	namely	namely	RB
work_srieqfzrnjgrrmg6vwffxlf4re	22	19	Z(I	Z(I	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	22	20	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	22	21	=	=	NFP
work_srieqfzrnjgrrmg6vwffxlf4re	22	22	(	(	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	22	23	y	y	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	22	24	G	g	NN
work_srieqfzrnjgrrmg6vwffxlf4re	22	25	T	T	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	22	26	:	:	:
work_srieqfzrnjgrrmg6vwffxlf4re	22	27	f(y	f(y	FW
work_srieqfzrnjgrrmg6vwffxlf4re	22	28	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	22	29	=	=	NFP
work_srieqfzrnjgrrmg6vwffxlf4re	22	30	0	0	CD
work_srieqfzrnjgrrmg6vwffxlf4re	22	31	for	for	IN
work_srieqfzrnjgrrmg6vwffxlf4re	22	32	all	all	DT
work_srieqfzrnjgrrmg6vwffxlf4re	22	33	ƒ	ƒ	NN
work_srieqfzrnjgrrmg6vwffxlf4re	22	34	G	g	NN
work_srieqfzrnjgrrmg6vwffxlf4re	22	35	ƒ	ƒ	NN
work_srieqfzrnjgrrmg6vwffxlf4re	22	36	}	}	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	22	37	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	23	1	Thus	thus	RB
work_srieqfzrnjgrrmg6vwffxlf4re	23	2	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	23	3	closed	closed	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	23	4	set	set	NN
work_srieqfzrnjgrrmg6vwffxlf4re	23	5	£	£	$
work_srieqfzrnjgrrmg6vwffxlf4re	23	6	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	23	7	T	T	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	23	8	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	23	9	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	23	10	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	23	11	set	set	NN
work_srieqfzrnjgrrmg6vwffxlf4re	23	12	provided	provide	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	23	13	it	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	23	14	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	23	15	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	23	16	zero	zero	CD
work_srieqfzrnjgrrmg6vwffxlf4re	23	17	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	23	18	set	set	NN
work_srieqfzrnjgrrmg6vwffxlf4re	23	19	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	23	20	exactly	exactly	RB
work_srieqfzrnjgrrmg6vwffxlf4re	23	21	one	one	CD
work_srieqfzrnjgrrmg6vwffxlf4re	23	22	closed	close	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	23	23	ideal	ideal	NN
work_srieqfzrnjgrrmg6vwffxlf4re	23	24	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	23	25	Ll(G	Ll(G	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	23	26	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	23	27	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	24	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	24	2	largest	large	JJS
work_srieqfzrnjgrrmg6vwffxlf4re	24	3	closed	closed	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	24	4	ideal	ideal	NN
work_srieqfzrnjgrrmg6vwffxlf4re	24	5	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	24	6	Ll(G	Ll(G	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	24	7	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	24	8	with	with	IN
work_srieqfzrnjgrrmg6vwffxlf4re	24	9	zero	zero	CD
work_srieqfzrnjgrrmg6vwffxlf4re	24	10	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	24	11	set	set	NN
work_srieqfzrnjgrrmg6vwffxlf4re	24	12	E	e	NN
work_srieqfzrnjgrrmg6vwffxlf4re	24	13	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	24	14	k(E	k(e	NN
work_srieqfzrnjgrrmg6vwffxlf4re	24	15	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	24	16	=	=	NFP
work_srieqfzrnjgrrmg6vwffxlf4re	24	17	{	{	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	24	18	ƒ	ƒ	NN
work_srieqfzrnjgrrmg6vwffxlf4re	24	19	G	g	NN
work_srieqfzrnjgrrmg6vwffxlf4re	24	20	Ll(G	Ll(G	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	24	21	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	24	22	:	:	:
work_srieqfzrnjgrrmg6vwffxlf4re	24	23	ƒ	ƒ	LS
work_srieqfzrnjgrrmg6vwffxlf4re	24	24	=	=	SYM
work_srieqfzrnjgrrmg6vwffxlf4re	24	25	0	0	CD
work_srieqfzrnjgrrmg6vwffxlf4re	24	26	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	24	27	E	e	NN
work_srieqfzrnjgrrmg6vwffxlf4re	24	28	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	24	29	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	24	30	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	24	31	smallest	small	JJS
work_srieqfzrnjgrrmg6vwffxlf4re	24	32	such	such	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	24	33	closed	close	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	24	34	ideal	ideal	NN
work_srieqfzrnjgrrmg6vwffxlf4re	24	35	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	24	36	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	24	37	closure	closure	NN
work_srieqfzrnjgrrmg6vwffxlf4re	24	38	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	24	39	j(E	j(E	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	24	40	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	24	41	=	=	NFP
work_srieqfzrnjgrrmg6vwffxlf4re	24	42	{	{	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	24	43	ƒ	ƒ	FW
work_srieqfzrnjgrrmg6vwffxlf4re	24	44	£	£	$
work_srieqfzrnjgrrmg6vwffxlf4re	24	45	L\G	l\g	NN
work_srieqfzrnjgrrmg6vwffxlf4re	24	46	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	24	47	:	:	:
work_srieqfzrnjgrrmg6vwffxlf4re	24	48	ƒ	ƒ	LS
work_srieqfzrnjgrrmg6vwffxlf4re	24	49	-	-	SYM
work_srieqfzrnjgrrmg6vwffxlf4re	24	50	0	0	NFP
work_srieqfzrnjgrrmg6vwffxlf4re	24	51	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	24	52	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	24	53	neighborhood	neighborhood	NN
work_srieqfzrnjgrrmg6vwffxlf4re	24	54	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	24	55	£	£	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	24	56	}	}	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	24	57	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	25	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	25	2	so	so	RB
work_srieqfzrnjgrrmg6vwffxlf4re	25	3	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	25	4	called	call	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	25	5	abstract	abstract	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	25	6	Wiener	Wiener	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	25	7	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	25	8	Tauberian	Tauberian	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	25	9	theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	25	10	asserts	assert	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	25	11	that	that	IN
work_srieqfzrnjgrrmg6vwffxlf4re	25	12	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	25	13	empty	empty	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	25	14	set	set	NN
work_srieqfzrnjgrrmg6vwffxlf4re	25	15	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	25	16	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	25	17	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	25	18	set	set	NN
work_srieqfzrnjgrrmg6vwffxlf4re	25	19	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	26	1	This	this	DT
work_srieqfzrnjgrrmg6vwffxlf4re	26	2	tells	tell	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	26	3	us	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	26	4	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	26	5	for	for	IN
work_srieqfzrnjgrrmg6vwffxlf4re	26	6	example	example	NN
work_srieqfzrnjgrrmg6vwffxlf4re	26	7	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	26	8	that	that	IN
work_srieqfzrnjgrrmg6vwffxlf4re	26	9	if	if	IN
work_srieqfzrnjgrrmg6vwffxlf4re	26	10	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	26	11	Fourier	Fourier	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	26	12	transform	transform	NN
work_srieqfzrnjgrrmg6vwffxlf4re	26	13	ƒ	ƒ	NN
work_srieqfzrnjgrrmg6vwffxlf4re	26	14	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	26	15	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	26	16	function	function	NN
work_srieqfzrnjgrrmg6vwffxlf4re	26	17	ƒ	ƒ	NN
work_srieqfzrnjgrrmg6vwffxlf4re	26	18	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	26	19	L1	L1	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	26	20	(	(	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	26	21	R	r	NN
work_srieqfzrnjgrrmg6vwffxlf4re	26	22	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	26	23	never	never	RB
work_srieqfzrnjgrrmg6vwffxlf4re	26	24	vanishes	vanish	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	26	25	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	26	26	then	then	RB
work_srieqfzrnjgrrmg6vwffxlf4re	26	27	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	26	28	smallest	small	JJS
work_srieqfzrnjgrrmg6vwffxlf4re	26	29	closed	closed	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	26	30	ideal	ideal	NN
work_srieqfzrnjgrrmg6vwffxlf4re	26	31	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	26	32	j	j	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	26	33	}	}	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	26	34	(	(	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	26	35	R	r	NN
work_srieqfzrnjgrrmg6vwffxlf4re	26	36	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	26	37	containing	contain	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	26	38	ƒ	ƒ	NN
work_srieqfzrnjgrrmg6vwffxlf4re	26	39	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	26	40	l)(R	l)(R	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	26	41	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	26	42	itself	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	26	43	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	27	1	This	this	DT
work_srieqfzrnjgrrmg6vwffxlf4re	27	2	result	result	NN
work_srieqfzrnjgrrmg6vwffxlf4re	27	3	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	27	4	called	call	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	27	5	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	27	6	Wiener	Wiener	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	27	7	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	27	8	Tauberian	Tauberian	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	27	9	theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	27	10	because	because	IN
work_srieqfzrnjgrrmg6vwffxlf4re	27	11	Wiener	Wiener	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	27	12	used	use	VBD
work_srieqfzrnjgrrmg6vwffxlf4re	27	13	it	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	27	14	to	to	TO
work_srieqfzrnjgrrmg6vwffxlf4re	27	15	establish	establish	VB
work_srieqfzrnjgrrmg6vwffxlf4re	27	16	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	27	17	number	number	NN
work_srieqfzrnjgrrmg6vwffxlf4re	27	18	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	27	19	theorems	theorem	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	27	20	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	27	21	Tauberian	tauberian	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	27	22	type	type	NN
work_srieqfzrnjgrrmg6vwffxlf4re	27	23	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	28	1	Incidentally	incidentally	RB
work_srieqfzrnjgrrmg6vwffxlf4re	28	2	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	28	3	Wiener	Wiener	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	28	4	argued	argue	VBD
work_srieqfzrnjgrrmg6vwffxlf4re	28	5	that	that	IN
work_srieqfzrnjgrrmg6vwffxlf4re	28	6	it	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	28	7	would	would	MD
work_srieqfzrnjgrrmg6vwffxlf4re	28	8	be	be	VB
work_srieqfzrnjgrrmg6vwffxlf4re	28	9	far	far	RB
work_srieqfzrnjgrrmg6vwffxlf4re	28	10	more	more	RBR
work_srieqfzrnjgrrmg6vwffxlf4re	28	11	appropriate	appropriate	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	28	12	to	to	TO
work_srieqfzrnjgrrmg6vwffxlf4re	28	13	call	call	VB
work_srieqfzrnjgrrmg6vwffxlf4re	28	14	them	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	28	15	Hardy	Hardy	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	28	16	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	28	17	Littlewood	Littlewood	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	28	18	theorems	theorem	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	28	19	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	29	1	In	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	29	2	any	any	DT
work_srieqfzrnjgrrmg6vwffxlf4re	29	3	case	case	NN
work_srieqfzrnjgrrmg6vwffxlf4re	29	4	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	29	5	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	29	6	abstract	abstract	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	29	7	Wiener	Wiener	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	29	8	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	29	9	Tauberian	Tauberian	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	29	10	theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	29	11	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	29	12	now	now	RB
work_srieqfzrnjgrrmg6vwffxlf4re	29	13	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	29	14	simple	simple	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	29	15	result	result	NN
work_srieqfzrnjgrrmg6vwffxlf4re	29	16	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	29	17	harmonic	harmonic	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	29	18	analysis	analysis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	29	19	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	29	20	but	but	CC
work_srieqfzrnjgrrmg6vwffxlf4re	29	21	it	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	29	22	has	have	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	29	23	far	far	RB
work_srieqfzrnjgrrmg6vwffxlf4re	29	24	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	29	25	reaching	reach	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	29	26	consequences	consequence	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	29	27	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	30	1	One	one	CD
work_srieqfzrnjgrrmg6vwffxlf4re	30	2	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	30	3	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	30	4	major	major	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	30	5	problems	problem	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	30	6	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	30	7	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	30	8	synthesis	synthesis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	30	9	was	be	VBD
work_srieqfzrnjgrrmg6vwffxlf4re	30	10	whether	whether	IN
work_srieqfzrnjgrrmg6vwffxlf4re	30	11	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	30	12	synthesis	synthesis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	30	13	holds	hold	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	30	14	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	30	15	i.e.	i.e.	FW
work_srieqfzrnjgrrmg6vwffxlf4re	31	1	whether	whether	IN
work_srieqfzrnjgrrmg6vwffxlf4re	31	2	every	every	DT
work_srieqfzrnjgrrmg6vwffxlf4re	31	3	closed	closed	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	31	4	set	set	NN
work_srieqfzrnjgrrmg6vwffxlf4re	31	5	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	31	6	T	t	NN
work_srieqfzrnjgrrmg6vwffxlf4re	31	7	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	31	8	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	31	9	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	31	10	set	set	NN
work_srieqfzrnjgrrmg6vwffxlf4re	31	11	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	32	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	32	2	answer	answer	NN
work_srieqfzrnjgrrmg6vwffxlf4re	32	3	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	32	4	easily	easily	RB
work_srieqfzrnjgrrmg6vwffxlf4re	32	5	affirmative	affirmative	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	32	6	if	if	IN
work_srieqfzrnjgrrmg6vwffxlf4re	32	7	T	T	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	32	8	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	32	9	discrete	discrete	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	32	10	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	33	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	33	2	first	first	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	33	3	example	example	NN
work_srieqfzrnjgrrmg6vwffxlf4re	33	4	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	33	5	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	33	6	nonspectral	nonspectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	33	7	set	set	NN
work_srieqfzrnjgrrmg6vwffxlf4re	33	8	was	be	VBD
work_srieqfzrnjgrrmg6vwffxlf4re	33	9	given	give	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	33	10	by	by	IN
work_srieqfzrnjgrrmg6vwffxlf4re	33	11	Laurent	Laurent	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	33	12	Schwartz	Schwartz	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	33	13	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	33	14	1948	1948	CD
work_srieqfzrnjgrrmg6vwffxlf4re	33	15	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	34	1	His	-PRON-	PRP$
work_srieqfzrnjgrrmg6vwffxlf4re	34	2	example	example	NN
work_srieqfzrnjgrrmg6vwffxlf4re	34	3	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	34	4	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	34	5	surface	surface	NN
work_srieqfzrnjgrrmg6vwffxlf4re	34	6	S	s	NN
work_srieqfzrnjgrrmg6vwffxlf4re	34	7	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	34	8	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	34	9	unit	unit	NN
work_srieqfzrnjgrrmg6vwffxlf4re	34	10	ball	ball	NN
work_srieqfzrnjgrrmg6vwffxlf4re	34	11	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	34	12	Rn	Rn	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	34	13	where	where	WRB
work_srieqfzrnjgrrmg6vwffxlf4re	34	14	n	n	NN
work_srieqfzrnjgrrmg6vwffxlf4re	34	15	>	>	XX
work_srieqfzrnjgrrmg6vwffxlf4re	34	16	3	3	CD
work_srieqfzrnjgrrmg6vwffxlf4re	34	17	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	35	1	Hence	hence	RB
work_srieqfzrnjgrrmg6vwffxlf4re	35	2	there	there	EX
work_srieqfzrnjgrrmg6vwffxlf4re	35	3	are	be	VBP
work_srieqfzrnjgrrmg6vwffxlf4re	35	4	two	two	CD
work_srieqfzrnjgrrmg6vwffxlf4re	35	5	distinct	distinct	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	35	6	closed	close	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	35	7	ideals	ideal	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	35	8	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	35	9	L*(R3	l*(r3	NN
work_srieqfzrnjgrrmg6vwffxlf4re	35	10	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	35	11	whose	whose	WP$
work_srieqfzrnjgrrmg6vwffxlf4re	35	12	zero	zero	CD
work_srieqfzrnjgrrmg6vwffxlf4re	35	13	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	35	14	set	set	NN
work_srieqfzrnjgrrmg6vwffxlf4re	35	15	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	35	16	S	S	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	35	17	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	35	18	namely	namely	RB
work_srieqfzrnjgrrmg6vwffxlf4re	35	19	k(S	k(	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	35	20	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	35	21	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	35	22	j(S	j(S	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	35	23	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	35	24	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	36	1	Actually	actually	RB
work_srieqfzrnjgrrmg6vwffxlf4re	36	2	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	36	3	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	36	4	result	result	NN
work_srieqfzrnjgrrmg6vwffxlf4re	36	5	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	36	6	Helson	Helson	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	36	7	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	36	8	others	other	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	36	9	implies	imply	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	36	10	that	that	IN
work_srieqfzrnjgrrmg6vwffxlf4re	36	11	there	there	EX
work_srieqfzrnjgrrmg6vwffxlf4re	36	12	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	36	13	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	36	14	continuum	continuum	NN
work_srieqfzrnjgrrmg6vwffxlf4re	36	15	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	36	16	distinct	distinct	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	36	17	closed	close	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	36	18	ideals	ideal	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	36	19	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	36	20	L*(R3	l*(r3	NN
work_srieqfzrnjgrrmg6vwffxlf4re	36	21	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	36	22	whose	whose	WP$
work_srieqfzrnjgrrmg6vwffxlf4re	36	23	zero	zero	CD
work_srieqfzrnjgrrmg6vwffxlf4re	36	24	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	36	25	set	set	NN
work_srieqfzrnjgrrmg6vwffxlf4re	36	26	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	36	27	5	5	CD
work_srieqfzrnjgrrmg6vwffxlf4re	36	28	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	37	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	37	2	problem	problem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	37	3	remained	remain	VBD
work_srieqfzrnjgrrmg6vwffxlf4re	37	4	open	open	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	37	5	for	for	IN
work_srieqfzrnjgrrmg6vwffxlf4re	37	6	such	such	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	37	7	familiar	familiar	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	37	8	groups	group	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	37	9	as	as	IN
work_srieqfzrnjgrrmg6vwffxlf4re	37	10	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	37	11	circle	circle	NN
work_srieqfzrnjgrrmg6vwffxlf4re	37	12	group	group	NN
work_srieqfzrnjgrrmg6vwffxlf4re	37	13	T	T	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	37	14	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	37	15	R	r	NN
work_srieqfzrnjgrrmg6vwffxlf4re	37	16	until	until	IN
work_srieqfzrnjgrrmg6vwffxlf4re	37	17	1959	1959	CD
work_srieqfzrnjgrrmg6vwffxlf4re	37	18	when	when	WRB
work_srieqfzrnjgrrmg6vwffxlf4re	37	19	Paul	Paul	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	37	20	Malliavin	Malliavin	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	37	21	proved	prove	VBD
work_srieqfzrnjgrrmg6vwffxlf4re	37	22	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	37	23	remarkable	remarkable	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	37	24	fact	fact	NN
work_srieqfzrnjgrrmg6vwffxlf4re	37	25	that	that	IN
work_srieqfzrnjgrrmg6vwffxlf4re	37	26	every	every	DT
work_srieqfzrnjgrrmg6vwffxlf4re	37	27	nondiscrete	nondiscrete	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	37	28	T	T	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	37	29	contains	contain	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	37	30	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	37	31	nonspectral	nonspectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	37	32	set	set	NN
work_srieqfzrnjgrrmg6vwffxlf4re	37	33	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	38	1	A	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	38	2	very	very	RB
work_srieqfzrnjgrrmg6vwffxlf4re	38	3	interesting	interesting	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	38	4	proof	proof	NN
work_srieqfzrnjgrrmg6vwffxlf4re	38	5	using	use	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	38	6	tensor	tensor	NN
work_srieqfzrnjgrrmg6vwffxlf4re	38	7	products	product	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	38	8	was	be	VBD
work_srieqfzrnjgrrmg6vwffxlf4re	38	9	given	give	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	38	10	by	by	IN
work_srieqfzrnjgrrmg6vwffxlf4re	38	11	Varopoulos	Varopoulos	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	38	12	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	38	13	1965	1965	CD
work_srieqfzrnjgrrmg6vwffxlf4re	38	14	with	with	IN
work_srieqfzrnjgrrmg6vwffxlf4re	38	15	an	an	DT
work_srieqfzrnjgrrmg6vwffxlf4re	38	16	improvement	improvement	NN
work_srieqfzrnjgrrmg6vwffxlf4re	38	17	by	by	IN
work_srieqfzrnjgrrmg6vwffxlf4re	38	18	Carl	Carl	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	38	19	Herz	Herz	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	38	20	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	39	1	In	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	39	2	1972	1972	CD
work_srieqfzrnjgrrmg6vwffxlf4re	39	3	Aharon	Aharon	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	39	4	Atzmon	Atzmon	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	39	5	settled	settle	VBD
work_srieqfzrnjgrrmg6vwffxlf4re	39	6	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	39	7	related	related	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	39	8	principal	principal	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	39	9	ideal	ideal	NN
work_srieqfzrnjgrrmg6vwffxlf4re	39	10	problem	problem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	39	11	by	by	IN
work_srieqfzrnjgrrmg6vwffxlf4re	39	12	showing	show	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	39	13	that	that	IN
work_srieqfzrnjgrrmg6vwffxlf4re	39	14	if	if	IN
work_srieqfzrnjgrrmg6vwffxlf4re	39	15	T	t	NN
work_srieqfzrnjgrrmg6vwffxlf4re	39	16	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	39	17	nondiscrete	nondiscrete	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	39	18	then	then	RB
work_srieqfzrnjgrrmg6vwffxlf4re	39	19	l}(G	l}(G	NFP
work_srieqfzrnjgrrmg6vwffxlf4re	39	20	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	39	21	contains	contain	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	39	22	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	39	23	closed	closed	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	39	24	ideal	ideal	NN
work_srieqfzrnjgrrmg6vwffxlf4re	39	25	which	which	WDT
work_srieqfzrnjgrrmg6vwffxlf4re	39	26	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	39	27	not	not	RB
work_srieqfzrnjgrrmg6vwffxlf4re	39	28	finitely	finitely	RB
work_srieqfzrnjgrrmg6vwffxlf4re	39	29	generated	generate	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	39	30	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	39	31	much	much	RB
work_srieqfzrnjgrrmg6vwffxlf4re	39	32	less	less	RBR
work_srieqfzrnjgrrmg6vwffxlf4re	39	33	singly	singly	RB
work_srieqfzrnjgrrmg6vwffxlf4re	39	34	generated	generate	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	39	35	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	40	1	Meanwhile	meanwhile	RB
work_srieqfzrnjgrrmg6vwffxlf4re	40	2	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	40	3	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	40	4	good	good	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	40	5	deal	deal	NN
work_srieqfzrnjgrrmg6vwffxlf4re	40	6	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	40	7	energy	energy	NN
work_srieqfzrnjgrrmg6vwffxlf4re	40	8	was	be	VBD
work_srieqfzrnjgrrmg6vwffxlf4re	40	9	expended	expend	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	40	10	showing	show	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	40	11	that	that	IN
work_srieqfzrnjgrrmg6vwffxlf4re	40	12	many	many	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	40	13	nice	nice	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	40	14	sets	set	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	40	15	are	be	VBP
work_srieqfzrnjgrrmg6vwffxlf4re	40	16	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	40	17	sets	set	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	40	18	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	41	1	Carl	Carl	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	41	2	Herz	Herz	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	41	3	(	(	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	41	4	1960	1960	CD
work_srieqfzrnjgrrmg6vwffxlf4re	41	5	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	41	6	showed	show	VBD
work_srieqfzrnjgrrmg6vwffxlf4re	41	7	that	that	IN
work_srieqfzrnjgrrmg6vwffxlf4re	41	8	locally	locally	RB
work_srieqfzrnjgrrmg6vwffxlf4re	41	9	star	star	NN
work_srieqfzrnjgrrmg6vwffxlf4re	41	10	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	41	11	shaped	shape	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	41	12	bodies	body	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	41	13	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	41	14	Rn	Rn	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	41	15	are	be	VBP
work_srieqfzrnjgrrmg6vwffxlf4re	41	16	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	41	17	sets	set	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	41	18	using	use	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	41	19	ideas	idea	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	41	20	originating	originate	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	41	21	with	with	IN
work_srieqfzrnjgrrmg6vwffxlf4re	41	22	Calderón	Calderón	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	41	23	(	(	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	41	24	1956	1956	CD
work_srieqfzrnjgrrmg6vwffxlf4re	41	25	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	41	26	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	42	1	In	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	42	2	1956	1956	CD
work_srieqfzrnjgrrmg6vwffxlf4re	42	3	Herz	Herz	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	42	4	showed	show	VBD
work_srieqfzrnjgrrmg6vwffxlf4re	42	5	that	that	IN
work_srieqfzrnjgrrmg6vwffxlf4re	42	6	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	42	7	Cantor	Cantor	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	42	8	set	set	VBD
work_srieqfzrnjgrrmg6vwffxlf4re	42	9	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	42	10	R	r	NN
work_srieqfzrnjgrrmg6vwffxlf4re	42	11	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	42	12	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	42	13	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	42	14	set	set	NN
work_srieqfzrnjgrrmg6vwffxlf4re	42	15	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	42	16	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	42	17	1958	1958	CD
work_srieqfzrnjgrrmg6vwffxlf4re	42	18	he	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	42	19	showed	show	VBD
work_srieqfzrnjgrrmg6vwffxlf4re	42	20	that	that	IN
work_srieqfzrnjgrrmg6vwffxlf4re	42	21	circles	circle	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	42	22	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	42	23	R2	r2	NN
work_srieqfzrnjgrrmg6vwffxlf4re	42	24	are	be	VBP
work_srieqfzrnjgrrmg6vwffxlf4re	42	25	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	42	26	sets	set	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	42	27	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	43	1	In	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	43	2	1965	1965	CD
work_srieqfzrnjgrrmg6vwffxlf4re	43	3	Varopoulos	Varopoulos	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	43	4	proved	prove	VBD
work_srieqfzrnjgrrmg6vwffxlf4re	43	5	that	that	IN
work_srieqfzrnjgrrmg6vwffxlf4re	43	6	all	all	DT
work_srieqfzrnjgrrmg6vwffxlf4re	43	7	0-	0-	NNPS
work_srieqfzrnjgrrmg6vwffxlf4re	43	8	dimensional	dimensional	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	43	9	Kronecker	Kronecker	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	43	10	sets	set	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	43	11	are	be	VBP
work_srieqfzrnjgrrmg6vwffxlf4re	43	12	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	43	13	sets	set	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	43	14	;	;	:
work_srieqfzrnjgrrmg6vwffxlf4re	43	15	Saeki	Saeki	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	43	16	later	later	RB
work_srieqfzrnjgrrmg6vwffxlf4re	43	17	removed	remove	VBD
work_srieqfzrnjgrrmg6vwffxlf4re	43	18	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	43	19	need	need	NN
work_srieqfzrnjgrrmg6vwffxlf4re	43	20	for	for	IN
work_srieqfzrnjgrrmg6vwffxlf4re	43	21	O	o	NN
work_srieqfzrnjgrrmg6vwffxlf4re	43	22	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	43	23	dimensionality	dimensionality	NN
work_srieqfzrnjgrrmg6vwffxlf4re	43	24	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	44	1	In	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	44	2	1970	1970	CD
work_srieqfzrnjgrrmg6vwffxlf4re	44	3	Yves	Yves	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	44	4	Meyer	Meyer	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	44	5	showed	show	VBD
work_srieqfzrnjgrrmg6vwffxlf4re	44	6	that	that	IN
work_srieqfzrnjgrrmg6vwffxlf4re	44	7	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	44	8	number	number	NN
work_srieqfzrnjgrrmg6vwffxlf4re	44	9	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	44	10	perfect	perfect	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	44	11	sets	set	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	44	12	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	44	13	R	r	NN
work_srieqfzrnjgrrmg6vwffxlf4re	44	14	defined	define	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	44	15	by	by	IN
work_srieqfzrnjgrrmg6vwffxlf4re	44	16	means	mean	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	44	17	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	44	18	Pisot	Pisot	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	44	19	numbers	number	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	44	20	are	be	VBP
work_srieqfzrnjgrrmg6vwffxlf4re	44	21	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	44	22	sets	set	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	44	23	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	45	1	Almost	almost	RB
work_srieqfzrnjgrrmg6vwffxlf4re	45	2	all	all	DT
work_srieqfzrnjgrrmg6vwffxlf4re	45	3	books	book	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	45	4	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	45	5	harmonic	harmonic	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	45	6	analysis	analysis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	45	7	give	give	VBP
work_srieqfzrnjgrrmg6vwffxlf4re	45	8	some	some	DT
work_srieqfzrnjgrrmg6vwffxlf4re	45	9	attention	attention	NN
work_srieqfzrnjgrrmg6vwffxlf4re	45	10	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	45	11	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	45	12	License	license	NN
work_srieqfzrnjgrrmg6vwffxlf4re	45	13	or	or	CC
work_srieqfzrnjgrrmg6vwffxlf4re	45	14	copyright	copyright	NN
work_srieqfzrnjgrrmg6vwffxlf4re	45	15	restrictions	restriction	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	45	16	may	may	MD
work_srieqfzrnjgrrmg6vwffxlf4re	45	17	apply	apply	VB
work_srieqfzrnjgrrmg6vwffxlf4re	45	18	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	45	19	redistribution	redistribution	NN
work_srieqfzrnjgrrmg6vwffxlf4re	45	20	;	;	:
work_srieqfzrnjgrrmg6vwffxlf4re	45	21	see	see	VB
work_srieqfzrnjgrrmg6vwffxlf4re	45	22	https://www.ams.org/journal-terms-of-use	https://www.ams.org/journal-terms-of-use	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	45	23	962	962	CD
work_srieqfzrnjgrrmg6vwffxlf4re	45	24	BOOK	BOOK	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	45	25	REVIEWS	review	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	45	26	synthesis	synthesis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	45	27	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	46	1	They	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	46	2	often	often	RB
work_srieqfzrnjgrrmg6vwffxlf4re	46	3	obtain	obtain	VBP
work_srieqfzrnjgrrmg6vwffxlf4re	46	4	Malliavin	Malliavin	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	46	5	's	's	POS
work_srieqfzrnjgrrmg6vwffxlf4re	46	6	theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	46	7	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	46	8	discuss	discuss	VB
work_srieqfzrnjgrrmg6vwffxlf4re	46	9	examples	example	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	46	10	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	47	1	See	see	VB
work_srieqfzrnjgrrmg6vwffxlf4re	47	2	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	47	3	for	for	IN
work_srieqfzrnjgrrmg6vwffxlf4re	47	4	example	example	NN
work_srieqfzrnjgrrmg6vwffxlf4re	47	5	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	47	6	Kahane	Kahane	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	47	7	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	47	8	Salem	Salem	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	47	9	[	[	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	47	10	3	3	CD
work_srieqfzrnjgrrmg6vwffxlf4re	47	11	]	]	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	47	12	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	47	13	Katznelson	Katznelson	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	47	14	[	[	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	47	15	4	4	CD
work_srieqfzrnjgrrmg6vwffxlf4re	47	16	]	]	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	47	17	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	47	18	Rudin	Rudin	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	47	19	[	[	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	47	20	8	8	CD
work_srieqfzrnjgrrmg6vwffxlf4re	47	21	]	]	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	47	22	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	48	1	Hewitt	Hewitt	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	48	2	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	48	3	Ross	Ross	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	48	4	[	[	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	48	5	2	2	CD
work_srieqfzrnjgrrmg6vwffxlf4re	48	6	]	]	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	48	7	deal	deal	VB
work_srieqfzrnjgrrmg6vwffxlf4re	48	8	with	with	IN
work_srieqfzrnjgrrmg6vwffxlf4re	48	9	these	these	DT
work_srieqfzrnjgrrmg6vwffxlf4re	48	10	matters	matter	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	48	11	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	48	12	also	also	RB
work_srieqfzrnjgrrmg6vwffxlf4re	48	13	give	give	VB
work_srieqfzrnjgrrmg6vwffxlf4re	48	14	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	48	15	fairly	fairly	RB
work_srieqfzrnjgrrmg6vwffxlf4re	48	16	complete	complete	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	48	17	treatment	treatment	NN
work_srieqfzrnjgrrmg6vwffxlf4re	48	18	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	48	19	Wiener	Wiener	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	48	20	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	48	21	Tauberian	Tauberian	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	48	22	theorems	theorem	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	48	23	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	49	1	Reiter	Reiter	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	49	2	[	[	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	49	3	7	7	CD
work_srieqfzrnjgrrmg6vwffxlf4re	49	4	]	]	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	49	5	omits	omit	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	49	6	Malliavin	Malliavin	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	49	7	's	's	POS
work_srieqfzrnjgrrmg6vwffxlf4re	49	8	theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	49	9	but	but	CC
work_srieqfzrnjgrrmg6vwffxlf4re	49	10	gives	give	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	49	11	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	49	12	careful	careful	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	49	13	exposition	exposition	NN
work_srieqfzrnjgrrmg6vwffxlf4re	49	14	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	49	15	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	49	16	synthesis	synthesis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	49	17	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	49	18	including	include	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	49	19	his	-PRON-	PRP$
work_srieqfzrnjgrrmg6vwffxlf4re	49	20	theorems	theorem	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	49	21	concerning	concern	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	49	22	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	49	23	relationship	relationship	NN
work_srieqfzrnjgrrmg6vwffxlf4re	49	24	between	between	IN
work_srieqfzrnjgrrmg6vwffxlf4re	49	25	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	49	26	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	49	27	set	set	NN
work_srieqfzrnjgrrmg6vwffxlf4re	49	28	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	49	29	G	G	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	49	30	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	49	31	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	49	32	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	49	33	closed	close	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	49	34	subgroup	subgroup	NN
work_srieqfzrnjgrrmg6vwffxlf4re	49	35	or	or	CC
work_srieqfzrnjgrrmg6vwffxlf4re	49	36	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	49	37	quotient	quotient	NN
work_srieqfzrnjgrrmg6vwffxlf4re	49	38	group	group	NN
work_srieqfzrnjgrrmg6vwffxlf4re	49	39	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	50	1	Meyer	Meyer	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	50	2	[	[	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	50	3	6	6	CD
work_srieqfzrnjgrrmg6vwffxlf4re	50	4	]	]	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	50	5	devotes	devote	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	50	6	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	50	7	chapter	chapter	NN
work_srieqfzrnjgrrmg6vwffxlf4re	50	8	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	50	9	synthesis	synthesis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	50	10	with	with	IN
work_srieqfzrnjgrrmg6vwffxlf4re	50	11	emphasis	emphasis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	50	12	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	50	13	his	-PRON-	PRP$
work_srieqfzrnjgrrmg6vwffxlf4re	50	14	work	work	NN
work_srieqfzrnjgrrmg6vwffxlf4re	50	15	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	50	16	Pisot	Pisot	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	50	17	numbers	number	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	50	18	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	51	1	Lindahl	Lindahl	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	51	2	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	51	3	Poulsen	Poulsen	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	51	4	[	[	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	51	5	5	5	CD
work_srieqfzrnjgrrmg6vwffxlf4re	51	6	]	]	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	51	7	also	also	RB
work_srieqfzrnjgrrmg6vwffxlf4re	51	8	have	have	VB
work_srieqfzrnjgrrmg6vwffxlf4re	51	9	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	51	10	brief	brief	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	51	11	chapter	chapter	NN
work_srieqfzrnjgrrmg6vwffxlf4re	51	12	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	51	13	Pisot	Pisot	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	51	14	numbers	number	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	51	15	(	(	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	51	16	written	write	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	51	17	by	by	IN
work_srieqfzrnjgrrmg6vwffxlf4re	51	18	Meyer	Meyer	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	51	19	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	51	20	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	51	21	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	51	22	chapter	chapter	NN
work_srieqfzrnjgrrmg6vwffxlf4re	51	23	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	51	24	Varopoulos	Varopoulos	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	51	25	's	's	POS
work_srieqfzrnjgrrmg6vwffxlf4re	51	26	theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	51	27	that	that	IN
work_srieqfzrnjgrrmg6vwffxlf4re	51	28	Kron-	Kron-	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	51	29	ecker	ecker	NN
work_srieqfzrnjgrrmg6vwffxlf4re	51	30	sets	set	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	51	31	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	51	32	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	51	33	circle	circle	NN
work_srieqfzrnjgrrmg6vwffxlf4re	51	34	group	group	NN
work_srieqfzrnjgrrmg6vwffxlf4re	51	35	T	T	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	51	36	are	be	VBP
work_srieqfzrnjgrrmg6vwffxlf4re	51	37	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	51	38	sets	set	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	51	39	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	51	40	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	51	41	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	51	42	lot	lot	NN
work_srieqfzrnjgrrmg6vwffxlf4re	51	43	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	51	44	other	other	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	51	45	results	result	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	51	46	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	51	47	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	51	48	synthesis	synthesis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	51	49	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	52	1	Benedetto	Benedetto	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	52	2	[	[	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	52	3	1	1	CD
work_srieqfzrnjgrrmg6vwffxlf4re	52	4	]	]	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	52	5	proves	prove	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	52	6	Malliavin	Malliavin	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	52	7	's	's	POS
work_srieqfzrnjgrrmg6vwffxlf4re	52	8	theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	52	9	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	53	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	53	2	book	book	NN
work_srieqfzrnjgrrmg6vwffxlf4re	53	3	under	under	IN
work_srieqfzrnjgrrmg6vwffxlf4re	53	4	review	review	NN
work_srieqfzrnjgrrmg6vwffxlf4re	53	5	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	53	6	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	53	7	first	first	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	53	8	book	book	NN
work_srieqfzrnjgrrmg6vwffxlf4re	53	9	known	know	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	53	10	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	53	11	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	53	12	reviewer	reviewer	NN
work_srieqfzrnjgrrmg6vwffxlf4re	53	13	that	that	WDT
work_srieqfzrnjgrrmg6vwffxlf4re	53	14	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	53	15	devoted	devote	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	53	16	solely	solely	RB
work_srieqfzrnjgrrmg6vwffxlf4re	53	17	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	53	18	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	53	19	synthesis	synthesis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	53	20	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	54	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	54	2	book	book	NN
work_srieqfzrnjgrrmg6vwffxlf4re	54	3	consists	consist	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	54	4	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	54	5	three	three	CD
work_srieqfzrnjgrrmg6vwffxlf4re	54	6	chapters	chapter	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	54	7	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	55	1	In	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	55	2	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	55	3	first	first	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	55	4	chapter	chapter	NN
work_srieqfzrnjgrrmg6vwffxlf4re	55	5	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	55	6	author	author	NN
work_srieqfzrnjgrrmg6vwffxlf4re	55	7	establishes	establish	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	55	8	notation	notation	NN
work_srieqfzrnjgrrmg6vwffxlf4re	55	9	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	55	10	terminology	terminology	NN
work_srieqfzrnjgrrmg6vwffxlf4re	55	11	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	55	12	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	55	13	implicitly	implicitly	RB
work_srieqfzrnjgrrmg6vwffxlf4re	55	14	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	55	15	his	-PRON-	PRP$
work_srieqfzrnjgrrmg6vwffxlf4re	55	16	points	point	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	55	17	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	55	18	view	view	NN
work_srieqfzrnjgrrmg6vwffxlf4re	55	19	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	56	1	One	one	CD
work_srieqfzrnjgrrmg6vwffxlf4re	56	2	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	56	3	these	these	DT
work_srieqfzrnjgrrmg6vwffxlf4re	56	4	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	56	5	that	that	IN
work_srieqfzrnjgrrmg6vwffxlf4re	56	6	all	all	PDT
work_srieqfzrnjgrrmg6vwffxlf4re	56	7	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	56	8	action	action	NN
work_srieqfzrnjgrrmg6vwffxlf4re	56	9	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	56	10	really	really	RB
work_srieqfzrnjgrrmg6vwffxlf4re	56	11	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	56	12	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	56	13	character	character	NN
work_srieqfzrnjgrrmg6vwffxlf4re	56	14	group	group	NN
work_srieqfzrnjgrrmg6vwffxlf4re	56	15	T.	T.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	56	16	Thus	Thus	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	56	17	Ll	Ll	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	56	18	(	(	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	56	19	G	G	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	56	20	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	56	21	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	56	22	replaced	replace	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	56	23	by	by	IN
work_srieqfzrnjgrrmg6vwffxlf4re	56	24	A(T	a(t	NN
work_srieqfzrnjgrrmg6vwffxlf4re	56	25	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	56	26	=	=	NFP
work_srieqfzrnjgrrmg6vwffxlf4re	56	27	{	{	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	56	28	ƒ	ƒ	NN
work_srieqfzrnjgrrmg6vwffxlf4re	56	29	:	:	:
work_srieqfzrnjgrrmg6vwffxlf4re	56	30	ƒ	ƒ	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	56	31	E	E	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	56	32	Ll	Ll	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	56	33	(	(	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	56	34	G	g	NN
work_srieqfzrnjgrrmg6vwffxlf4re	56	35	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	56	36	}	}	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	56	37	;	;	:
work_srieqfzrnjgrrmg6vwffxlf4re	56	38	A(T	a(t	NN
work_srieqfzrnjgrrmg6vwffxlf4re	56	39	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	56	40	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	56	41	given	give	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	56	42	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	56	43	norm	norm	NN
work_srieqfzrnjgrrmg6vwffxlf4re	56	44	\\f\\A	\\f\\A	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	56	45	=	=	SYM
work_srieqfzrnjgrrmg6vwffxlf4re	56	46	H	H	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	56	47	/	/	SYM
work_srieqfzrnjgrrmg6vwffxlf4re	56	48	Hj	Hj	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	56	49	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	56	50	hence	hence	RB
work_srieqfzrnjgrrmg6vwffxlf4re	56	51	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	56	52	isometrically	isometrically	RB
work_srieqfzrnjgrrmg6vwffxlf4re	56	53	isomorphic	isomorphic	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	56	54	with	with	IN
work_srieqfzrnjgrrmg6vwffxlf4re	56	55	l}(G	l}(G	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	56	56	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	56	57	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	57	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	57	2	conjugate	conjugate	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	3	space	space	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	4	A'(T	a'(t	RB
work_srieqfzrnjgrrmg6vwffxlf4re	57	5	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	57	6	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	57	7	A(T	a(t	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	8	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	57	9	^	^	NFP
work_srieqfzrnjgrrmg6vwffxlf4re	57	10	l)(G	l)(G	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	11	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	57	12	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	57	13	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	57	14	course	course	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	15	isometrically	isometrically	RB
work_srieqfzrnjgrrmg6vwffxlf4re	57	16	isomorphic	isomorphic	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	57	17	with	with	IN
work_srieqfzrnjgrrmg6vwffxlf4re	57	18	L	l	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	19	°	°	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	57	20	°	°	,
work_srieqfzrnjgrrmg6vwffxlf4re	57	21	(G	(G	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	57	22	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	57	23	but	but	CC
work_srieqfzrnjgrrmg6vwffxlf4re	57	24	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	57	25	written	write	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	57	26	as	as	IN
work_srieqfzrnjgrrmg6vwffxlf4re	57	27	A'(T	a'(t	RB
work_srieqfzrnjgrrmg6vwffxlf4re	57	28	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	57	29	to	to	TO
work_srieqfzrnjgrrmg6vwffxlf4re	57	30	emphasize	emphasize	VB
work_srieqfzrnjgrrmg6vwffxlf4re	57	31	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	57	32	functional	functional	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	57	33	point	point	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	34	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	57	35	view	view	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	36	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	57	37	its	-PRON-	PRP$
work_srieqfzrnjgrrmg6vwffxlf4re	57	38	relationship	relationship	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	39	with	with	IN
work_srieqfzrnjgrrmg6vwffxlf4re	57	40	T.	T.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	41	Since	Since	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	42	A(T	a(t	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	43	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	57	44	Q	Q	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	45	C0(T	C0(T	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	46	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	57	47	[	[	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	57	48	by	by	IN
work_srieqfzrnjgrrmg6vwffxlf4re	57	49	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	57	50	Riemann	Riemann	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	51	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	57	52	Lebesgue	Lebesgue	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	53	lemma	lemma	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	54	]	]	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	57	55	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	57	56	A'(T	a'(t	ADD
work_srieqfzrnjgrrmg6vwffxlf4re	57	57	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	57	58	contains	contain	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	57	59	all	all	PDT
work_srieqfzrnjgrrmg6vwffxlf4re	57	60	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	57	61	finite	finite	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	57	62	regular	regular	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	57	63	Borel	Borel	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	64	measures	measure	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	57	65	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	57	66	T.	T.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	67	Just	just	RB
work_srieqfzrnjgrrmg6vwffxlf4re	57	68	as	as	IN
work_srieqfzrnjgrrmg6vwffxlf4re	57	69	with	with	IN
work_srieqfzrnjgrrmg6vwffxlf4re	57	70	Radon	radon	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	57	71	measures	measure	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	57	72	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	57	73	distributions	distribution	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	57	74	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	57	75	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	57	76	support	support	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	77	supp	supp	VBD
work_srieqfzrnjgrrmg6vwffxlf4re	57	78	T	T	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	79	can	can	MD
work_srieqfzrnjgrrmg6vwffxlf4re	57	80	be	be	VB
work_srieqfzrnjgrrmg6vwffxlf4re	57	81	defined	define	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	57	82	for	for	IN
work_srieqfzrnjgrrmg6vwffxlf4re	57	83	any	any	DT
work_srieqfzrnjgrrmg6vwffxlf4re	57	84	element	element	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	85	T	T	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	86	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	57	87	A'(T	A'(T	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	88	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	57	89	;	;	:
work_srieqfzrnjgrrmg6vwffxlf4re	57	90	supp	supp	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	57	91	T	T	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	92	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	57	93	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	57	94	closed	closed	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	57	95	subset	subset	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	96	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	57	97	T.	T.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	98	Accordingly	accordingly	RB
work_srieqfzrnjgrrmg6vwffxlf4re	57	99	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	57	100	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	57	101	elements	element	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	57	102	!	!	.
work_srieqfzrnjgrrmg6vwffxlf4re	57	103	Tof	Tof	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	104	A'(T	A'(T	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	105	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	57	106	are	be	VBP
work_srieqfzrnjgrrmg6vwffxlf4re	57	107	called	call	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	57	108	pseudomeasures	pseudomeasure	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	57	109	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	57	110	T.	T.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	111	If	if	IN
work_srieqfzrnjgrrmg6vwffxlf4re	57	112	Tis	Tis	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	113	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	57	114	pseudomeasure	pseudomeasure	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	115	i	i	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	57	116	n	n	CC
work_srieqfzrnjgrrmg6vwffxlf4re	57	117	^	^	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	118	'	'	''
work_srieqfzrnjgrrmg6vwffxlf4re	57	119	(	(	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	57	120	r	r	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	121	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	57	122	corresponding	correspond	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	57	123	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	57	124	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	57	125	L00-function	L00-function	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	126	<	<	XX
work_srieqfzrnjgrrmg6vwffxlf4re	57	127	&	&	CC
work_srieqfzrnjgrrmg6vwffxlf4re	57	128	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	57	129	G	G	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	130	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	57	131	then	then	RB
work_srieqfzrnjgrrmg6vwffxlf4re	57	132	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	57	133	spectrum	spectrum	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	134	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	57	135	<	<	XX
work_srieqfzrnjgrrmg6vwffxlf4re	57	136	&	&	CC
work_srieqfzrnjgrrmg6vwffxlf4re	57	137	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	57	138	exactly	exactly	RB
work_srieqfzrnjgrrmg6vwffxlf4re	57	139	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	57	140	support	support	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	141	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	57	142	T.	t.	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	143	For	for	IN
work_srieqfzrnjgrrmg6vwffxlf4re	57	144	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	57	145	closed	closed	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	57	146	set	set	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	147	E	e	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	148	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	57	149	T	T	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	150	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	57	151	let	let	VB
work_srieqfzrnjgrrmg6vwffxlf4re	57	152	A'(E	a'(e	ADD
work_srieqfzrnjgrrmg6vwffxlf4re	57	153	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	57	154	=	=	NFP
work_srieqfzrnjgrrmg6vwffxlf4re	57	155	{	{	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	57	156	T	t	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	157	E	e	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	158	A'(T	a'(t	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	159	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	57	160	:	:	:
work_srieqfzrnjgrrmg6vwffxlf4re	57	161	suppT	suppT	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	162	C	C	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	163	E	e	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	164	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	57	165	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	57	166	let	let	VB
work_srieqfzrnjgrrmg6vwffxlf4re	57	167	A'S{E	a's{e	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	168	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	57	169	=	=	NFP
work_srieqfzrnjgrrmg6vwffxlf4re	57	170	{	{	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	57	171	T	t	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	172	6	6	CD
work_srieqfzrnjgrrmg6vwffxlf4re	57	173	A'(E	A'(E	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	174	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	57	175	:	:	:
work_srieqfzrnjgrrmg6vwffxlf4re	57	176	<	<	XX
work_srieqfzrnjgrrmg6vwffxlf4re	57	177	r,<p	r,<p	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	57	178	>	>	FW
work_srieqfzrnjgrrmg6vwffxlf4re	57	179	=	=	SYM
work_srieqfzrnjgrrmg6vwffxlf4re	57	180	0	0	CD
work_srieqfzrnjgrrmg6vwffxlf4re	57	181	for	for	IN
work_srieqfzrnjgrrmg6vwffxlf4re	57	182	all	all	DT
work_srieqfzrnjgrrmg6vwffxlf4re	57	183	<	<	XX
work_srieqfzrnjgrrmg6vwffxlf4re	57	184	p	p	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	185	E	e	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	186	k(E	k(e	NN
work_srieqfzrnjgrrmg6vwffxlf4re	57	187	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	57	188	}	}	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	57	189	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	58	1	[	[	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	58	2	Note	note	VB
work_srieqfzrnjgrrmg6vwffxlf4re	58	3	that	that	IN
work_srieqfzrnjgrrmg6vwffxlf4re	58	4	henceforth	henceforth	RB
work_srieqfzrnjgrrmg6vwffxlf4re	58	5	we	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	58	6	regard	regard	VBP
work_srieqfzrnjgrrmg6vwffxlf4re	58	7	k(E	k(E	NNPS
work_srieqfzrnjgrrmg6vwffxlf4re	58	8	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	58	9	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	58	10	j(E	j(E	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	58	11	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	58	12	as	as	IN
work_srieqfzrnjgrrmg6vwffxlf4re	58	13	ideals	ideal	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	58	14	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	58	15	^4(T	^4(T	NFP
work_srieqfzrnjgrrmg6vwffxlf4re	58	16	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	58	17	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	58	18	]	]	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	59	1	Then	then	RB
work_srieqfzrnjgrrmg6vwffxlf4re	59	2	A'(E	A'(E	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	59	3	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	59	4	=	=	SYM
work_srieqfzrnjgrrmg6vwffxlf4re	59	5	j(E	j(e	ADD
work_srieqfzrnjgrrmg6vwffxlf4re	59	6	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	59	7	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	59	8	A'S(E	a's(e	NN
work_srieqfzrnjgrrmg6vwffxlf4re	59	9	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	59	10	=	=	NFP
work_srieqfzrnjgrrmg6vwffxlf4re	59	11	k(E	k(e	NN
work_srieqfzrnjgrrmg6vwffxlf4re	59	12	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	59	13	so	so	RB
work_srieqfzrnjgrrmg6vwffxlf4re	59	14	that	that	IN
work_srieqfzrnjgrrmg6vwffxlf4re	59	15	E	e	NN
work_srieqfzrnjgrrmg6vwffxlf4re	59	16	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	59	17	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	59	18	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	59	19	set	set	NN
work_srieqfzrnjgrrmg6vwffxlf4re	59	20	if	if	IN
work_srieqfzrnjgrrmg6vwffxlf4re	59	21	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	59	22	only	only	RB
work_srieqfzrnjgrrmg6vwffxlf4re	59	23	if	if	IN
work_srieqfzrnjgrrmg6vwffxlf4re	59	24	A'{E	A'{E	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	59	25	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	59	26	=	=	NFP
work_srieqfzrnjgrrmg6vwffxlf4re	59	27	A'S(E	a's(e	NN
work_srieqfzrnjgrrmg6vwffxlf4re	59	28	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	59	29	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	60	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	60	2	pseudomeasures	pseudomeasure	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	60	3	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	60	4	A'S{E	A'S{E	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	60	5	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	60	6	are	be	VBP
work_srieqfzrnjgrrmg6vwffxlf4re	60	7	called	call	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	60	8	synthesizable	synthesizable	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	60	9	pseudomeasures	pseudomeasure	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	60	10	(	(	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	60	11	supported	support	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	60	12	by	by	IN
work_srieqfzrnjgrrmg6vwffxlf4re	60	13	E	e	NN
work_srieqfzrnjgrrmg6vwffxlf4re	60	14	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	60	15	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	61	1	These	these	DT
work_srieqfzrnjgrrmg6vwffxlf4re	61	2	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	61	3	other	other	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	61	4	elementary	elementary	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	61	5	facts	fact	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	61	6	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	61	7	definitions	definition	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	61	8	are	be	VBP
work_srieqfzrnjgrrmg6vwffxlf4re	61	9	set	set	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	61	10	down	down	RP
work_srieqfzrnjgrrmg6vwffxlf4re	61	11	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	61	12	Chapter	chapter	NN
work_srieqfzrnjgrrmg6vwffxlf4re	61	13	1	1	CD
work_srieqfzrnjgrrmg6vwffxlf4re	61	14	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	62	1	Throughout	throughout	IN
work_srieqfzrnjgrrmg6vwffxlf4re	62	2	this	this	DT
work_srieqfzrnjgrrmg6vwffxlf4re	62	3	chapter	chapter	NN
work_srieqfzrnjgrrmg6vwffxlf4re	62	4	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	62	5	author	author	NN
work_srieqfzrnjgrrmg6vwffxlf4re	62	6	weaves	weave	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	62	7	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	62	8	historical	historical	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	62	9	comments	comment	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	62	10	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	62	11	relates	relate	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	62	12	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	62	13	theory	theory	NN
work_srieqfzrnjgrrmg6vwffxlf4re	62	14	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	62	15	other	other	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	62	16	areas	area	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	62	17	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	63	1	In	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	63	2	fact	fact	NN
work_srieqfzrnjgrrmg6vwffxlf4re	63	3	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	63	4	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	63	5	chapter	chapter	NN
work_srieqfzrnjgrrmg6vwffxlf4re	63	6	includes	include	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	63	7	discussions	discussion	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	63	8	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	63	9	integral	integral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	63	10	equations	equation	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	63	11	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	63	12	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	63	13	theory	theory	NN
work_srieqfzrnjgrrmg6vwffxlf4re	63	14	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	63	15	light	light	NN
work_srieqfzrnjgrrmg6vwffxlf4re	63	16	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	63	17	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	63	18	theory	theory	NN
work_srieqfzrnjgrrmg6vwffxlf4re	63	19	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	63	20	tides	tide	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	63	21	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	63	22	cubism	cubism	NN
work_srieqfzrnjgrrmg6vwffxlf4re	63	23	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	63	24	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	63	25	theory	theory	NN
work_srieqfzrnjgrrmg6vwffxlf4re	63	26	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	63	27	filters	filter	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	63	28	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	63	29	music	music	NN
work_srieqfzrnjgrrmg6vwffxlf4re	63	30	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	63	31	interferometers	interferometer	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	63	32	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	63	33	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	63	34	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	63	35	Heisenberg	Heisenberg	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	63	36	principle	principle	NN
work_srieqfzrnjgrrmg6vwffxlf4re	63	37	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	64	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	64	2	third	third	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	64	3	chapter	chapter	NN
work_srieqfzrnjgrrmg6vwffxlf4re	64	4	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	64	5	concerned	concern	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	64	6	with	with	IN
work_srieqfzrnjgrrmg6vwffxlf4re	64	7	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	64	8	more	more	RBR
work_srieqfzrnjgrrmg6vwffxlf4re	64	9	difficult	difficult	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	64	10	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	64	11	technical	technical	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	64	12	aspects	aspect	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	64	13	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	64	14	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	64	15	synthesis	synthesis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	64	16	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	65	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	65	2	first	first	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	65	3	section	section	NN
work_srieqfzrnjgrrmg6vwffxlf4re	65	4	deals	deal	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	65	5	with	with	IN
work_srieqfzrnjgrrmg6vwffxlf4re	65	6	nonsynthesis	nonsynthesis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	65	7	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	65	8	contains	contain	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	65	9	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	65	10	thorough	thorough	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	65	11	discussion	discussion	NN
work_srieqfzrnjgrrmg6vwffxlf4re	65	12	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	65	13	both	both	CC
work_srieqfzrnjgrrmg6vwffxlf4re	65	14	Malliavin	Malliavin	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	65	15	's	's	POS
work_srieqfzrnjgrrmg6vwffxlf4re	65	16	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	65	17	Varopoulos	Varopoulos	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	65	18	's	's	POS
work_srieqfzrnjgrrmg6vwffxlf4re	65	19	proof	proof	NN
work_srieqfzrnjgrrmg6vwffxlf4re	65	20	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	65	21	Malliavin	Malliavin	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	65	22	's	's	POS
work_srieqfzrnjgrrmg6vwffxlf4re	65	23	theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	65	24	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	66	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	66	2	second	second	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	66	3	section	section	NN
work_srieqfzrnjgrrmg6vwffxlf4re	66	4	concerns	concern	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	66	5	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	66	6	synthesizability	synthesizability	NN
work_srieqfzrnjgrrmg6vwffxlf4re	66	7	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	66	8	pseudomeasures	pseudomeasure	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	66	9	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	66	10	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	66	11	functions	function	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	66	12	<	<	XX
work_srieqfzrnjgrrmg6vwffxlf4re	66	13	p	p	NN
work_srieqfzrnjgrrmg6vwffxlf4re	66	14	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	66	15	A(T	a(t	NN
work_srieqfzrnjgrrmg6vwffxlf4re	66	16	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	66	17	:	:	:
work_srieqfzrnjgrrmg6vwffxlf4re	66	18	<	<	XX
work_srieqfzrnjgrrmg6vwffxlf4re	66	19	p	p	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	66	20	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	66	21	synthesizable	synthesizable	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	66	22	provided	provide	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	66	23	<	<	XX
work_srieqfzrnjgrrmg6vwffxlf4re	66	24	r,<p	r,<p	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	66	25	>	>	FW
work_srieqfzrnjgrrmg6vwffxlf4re	66	26	=	=	SYM
work_srieqfzrnjgrrmg6vwffxlf4re	66	27	0	0	CD
work_srieqfzrnjgrrmg6vwffxlf4re	66	28	for	for	IN
work_srieqfzrnjgrrmg6vwffxlf4re	66	29	all	all	DT
work_srieqfzrnjgrrmg6vwffxlf4re	66	30	pseudomeasures	pseudomeasure	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	66	31	supported	support	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	66	32	by	by	IN
work_srieqfzrnjgrrmg6vwffxlf4re	66	33	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	66	34	zero	zero	CD
work_srieqfzrnjgrrmg6vwffxlf4re	66	35	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	66	36	set	set	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	66	37	Ztp	Ztp	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	66	38	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	66	39	<	<	XX
work_srieqfzrnjgrrmg6vwffxlf4re	66	40	p	p	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	66	41	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	66	42	i.e.	i.e.	FW
work_srieqfzrnjgrrmg6vwffxlf4re	67	1	<	<	XX
work_srieqfzrnjgrrmg6vwffxlf4re	67	2	p	p	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	67	3	belongs	belong	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	67	4	not	not	RB
work_srieqfzrnjgrrmg6vwffxlf4re	67	5	only	only	RB
work_srieqfzrnjgrrmg6vwffxlf4re	67	6	to	to	TO
work_srieqfzrnjgrrmg6vwffxlf4re	67	7	k(Z	k(z	VB
work_srieqfzrnjgrrmg6vwffxlf4re	67	8	<	<	XX
work_srieqfzrnjgrrmg6vwffxlf4re	67	9	p	p	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	67	10	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	67	11	but	but	CC
work_srieqfzrnjgrrmg6vwffxlf4re	67	12	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	67	13	j(Z(p	j(Z(p	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	67	14	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	67	15	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	68	1	This	this	DT
work_srieqfzrnjgrrmg6vwffxlf4re	68	2	section	section	NN
work_srieqfzrnjgrrmg6vwffxlf4re	68	3	contains	contain	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	68	4	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	68	5	proof	proof	NN
work_srieqfzrnjgrrmg6vwffxlf4re	68	6	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	68	7	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	68	8	Beurling	Beurling	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	68	9	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	68	10	Pollard	Pollard	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	68	11	theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	68	12	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	68	13	which	which	WDT
work_srieqfzrnjgrrmg6vwffxlf4re	68	14	asserts	assert	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	68	15	that	that	IN
work_srieqfzrnjgrrmg6vwffxlf4re	68	16	functions	function	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	68	17	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	68	18	Lip^	Lip^	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	68	19	(	(	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	68	20	T	t	NN
work_srieqfzrnjgrrmg6vwffxlf4re	68	21	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	68	22	fl	fl	NN
work_srieqfzrnjgrrmg6vwffxlf4re	68	23	^4(T	^4(T	NFP
work_srieqfzrnjgrrmg6vwffxlf4re	68	24	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	68	25	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	68	26	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	68	27	>	>	XX
work_srieqfzrnjgrrmg6vwffxlf4re	68	28	1/2	1/2	CD
work_srieqfzrnjgrrmg6vwffxlf4re	68	29	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	68	30	are	be	VBP
work_srieqfzrnjgrrmg6vwffxlf4re	68	31	License	license	NN
work_srieqfzrnjgrrmg6vwffxlf4re	68	32	or	or	CC
work_srieqfzrnjgrrmg6vwffxlf4re	68	33	copyright	copyright	NN
work_srieqfzrnjgrrmg6vwffxlf4re	68	34	restrictions	restriction	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	68	35	may	may	MD
work_srieqfzrnjgrrmg6vwffxlf4re	68	36	apply	apply	VB
work_srieqfzrnjgrrmg6vwffxlf4re	68	37	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	68	38	redistribution	redistribution	NN
work_srieqfzrnjgrrmg6vwffxlf4re	68	39	;	;	:
work_srieqfzrnjgrrmg6vwffxlf4re	68	40	see	see	VB
work_srieqfzrnjgrrmg6vwffxlf4re	68	41	https://www.ams.org/journal-terms-of-use	https://www.ams.org/journal-terms-of-use	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	68	42	BOOK	BOOK	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	68	43	REVIEWS	REVIEWS	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	68	44	963	963	CD
work_srieqfzrnjgrrmg6vwffxlf4re	68	45	synthesizable	synthesizable	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	68	46	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	68	47	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	68	48	Katznelson	Katznelson	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	68	49	's	's	POS
work_srieqfzrnjgrrmg6vwffxlf4re	68	50	theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	68	51	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	68	52	which	which	WDT
work_srieqfzrnjgrrmg6vwffxlf4re	68	53	asserts	assert	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	68	54	that	that	IN
work_srieqfzrnjgrrmg6vwffxlf4re	68	55	functions	function	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	68	56	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	68	57	A(T	a(t	NN
work_srieqfzrnjgrrmg6vwffxlf4re	68	58	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	68	59	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	68	60	bounded	bound	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	68	61	variation	variation	NN
work_srieqfzrnjgrrmg6vwffxlf4re	68	62	are	be	VBP
work_srieqfzrnjgrrmg6vwffxlf4re	68	63	synthesizable	synthesizable	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	68	64	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	69	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	69	2	most	most	RBS
work_srieqfzrnjgrrmg6vwffxlf4re	69	3	distinctive	distinctive	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	69	4	chapter	chapter	NN
work_srieqfzrnjgrrmg6vwffxlf4re	69	5	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	69	6	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	69	7	book	book	NN
work_srieqfzrnjgrrmg6vwffxlf4re	69	8	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	69	9	Chapter	chapter	NN
work_srieqfzrnjgrrmg6vwffxlf4re	69	10	2	2	CD
work_srieqfzrnjgrrmg6vwffxlf4re	69	11	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	69	12	Tauberian	Tauberian	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	69	13	theorems	theorem	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	69	14	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	70	1	As	as	IN
work_srieqfzrnjgrrmg6vwffxlf4re	70	2	mentioned	mention	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	70	3	before	before	RB
work_srieqfzrnjgrrmg6vwffxlf4re	70	4	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	70	5	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	70	6	direct	direct	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	70	7	connection	connection	NN
work_srieqfzrnjgrrmg6vwffxlf4re	70	8	between	between	IN
work_srieqfzrnjgrrmg6vwffxlf4re	70	9	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	70	10	synthesis	synthesis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	70	11	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	70	12	Tauberian	tauberian	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	70	13	theorems	theorem	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	70	14	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	70	15	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	70	16	fact	fact	NN
work_srieqfzrnjgrrmg6vwffxlf4re	70	17	that	that	IN
work_srieqfzrnjgrrmg6vwffxlf4re	70	18	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	70	19	empty	empty	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	70	20	set	set	NN
work_srieqfzrnjgrrmg6vwffxlf4re	70	21	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	70	22	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	70	23	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	70	24	set	set	NN
work_srieqfzrnjgrrmg6vwffxlf4re	70	25	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	71	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	71	2	history	history	NN
work_srieqfzrnjgrrmg6vwffxlf4re	71	3	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	71	4	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	71	5	subject	subject	NN
work_srieqfzrnjgrrmg6vwffxlf4re	71	6	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	71	7	n't	not	RB
work_srieqfzrnjgrrmg6vwffxlf4re	71	8	so	so	RB
work_srieqfzrnjgrrmg6vwffxlf4re	71	9	direct	direct	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	71	10	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	71	11	Chapter	chapter	NN
work_srieqfzrnjgrrmg6vwffxlf4re	71	12	2	2	CD
work_srieqfzrnjgrrmg6vwffxlf4re	71	13	indicates	indicate	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	71	14	how	how	WRB
work_srieqfzrnjgrrmg6vwffxlf4re	71	15	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	71	16	theory	theory	NN
work_srieqfzrnjgrrmg6vwffxlf4re	71	17	developed	develop	VBD
work_srieqfzrnjgrrmg6vwffxlf4re	71	18	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	71	19	especially	especially	RB
work_srieqfzrnjgrrmg6vwffxlf4re	71	20	how	how	WRB
work_srieqfzrnjgrrmg6vwffxlf4re	71	21	Wiener	Wiener	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	71	22	developed	develop	VBD
work_srieqfzrnjgrrmg6vwffxlf4re	71	23	it	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	71	24	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	72	1	In	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	72	2	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	72	3	late	late	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	72	4	1920	1920	CD
work_srieqfzrnjgrrmg6vwffxlf4re	72	5	's	's	POS
work_srieqfzrnjgrrmg6vwffxlf4re	72	6	Wiener	Wiener	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	72	7	was	be	VBD
work_srieqfzrnjgrrmg6vwffxlf4re	72	8	led	lead	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	72	9	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	72	10	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	72	11	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	72	12	analysis	analysis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	72	13	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	72	14	L	L	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	72	15	°	°	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	72	16	°	°	,
work_srieqfzrnjgrrmg6vwffxlf4re	72	17	-functions	-function	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	72	18	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	72	19	R	r	NN
work_srieqfzrnjgrrmg6vwffxlf4re	72	20	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	72	21	equivalently	equivalently	RB
work_srieqfzrnjgrrmg6vwffxlf4re	72	22	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	72	23	pseudomeasures	pseudomeasure	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	72	24	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	73	1	Since	since	IN
work_srieqfzrnjgrrmg6vwffxlf4re	73	2	these	these	DT
work_srieqfzrnjgrrmg6vwffxlf4re	73	3	objects	object	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	73	4	are	be	VBP
work_srieqfzrnjgrrmg6vwffxlf4re	73	5	usually	usually	RB
work_srieqfzrnjgrrmg6vwffxlf4re	73	6	not	not	RB
work_srieqfzrnjgrrmg6vwffxlf4re	73	7	^-functions	^-functions	ADD
work_srieqfzrnjgrrmg6vwffxlf4re	73	8	or	or	CC
work_srieqfzrnjgrrmg6vwffxlf4re	73	9	L2-	l2-	NN
work_srieqfzrnjgrrmg6vwffxlf4re	73	10	functions	function	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	73	11	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	73	12	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	73	13	ensuing	ensue	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	73	14	analysis	analysis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	73	15	was	be	VBD
work_srieqfzrnjgrrmg6vwffxlf4re	73	16	termed	term	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	73	17	generalized	generalized	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	73	18	harmonic	harmonic	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	73	19	analysis	analysis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	73	20	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	74	1	Chapter	chapter	NN
work_srieqfzrnjgrrmg6vwffxlf4re	74	2	2	2	CD
work_srieqfzrnjgrrmg6vwffxlf4re	74	3	begins	begin	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	74	4	by	by	IN
work_srieqfzrnjgrrmg6vwffxlf4re	74	5	introducing	introduce	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	74	6	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	74	7	"	"	``
work_srieqfzrnjgrrmg6vwffxlf4re	74	8	Wiener	Wiener	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	74	9	spectrum	spectrum	NN
work_srieqfzrnjgrrmg6vwffxlf4re	74	10	"	"	''
work_srieqfzrnjgrrmg6vwffxlf4re	74	11	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	74	12	proving	prove	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	74	13	Wiener	Wiener	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	74	14	's	's	POS
work_srieqfzrnjgrrmg6vwffxlf4re	74	15	Tauberian	tauberian	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	74	16	theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	74	17	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	75	1	Beurling	beurle	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	75	2	's	's	POS
work_srieqfzrnjgrrmg6vwffxlf4re	75	3	theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	75	4	relating	relate	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	75	5	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	75	6	spectrum	spectrum	NN
work_srieqfzrnjgrrmg6vwffxlf4re	75	7	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	75	8	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	75	9	bounded	bound	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	75	10	uniformly	uniformly	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	75	11	continuous	continuous	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	75	12	function	function	NN
work_srieqfzrnjgrrmg6vwffxlf4re	75	13	$	$	$
work_srieqfzrnjgrrmg6vwffxlf4re	75	14	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	75	15	R	r	NN
work_srieqfzrnjgrrmg6vwffxlf4re	75	16	with	with	IN
work_srieqfzrnjgrrmg6vwffxlf4re	75	17	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	75	18	Beurling	Beurling	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	75	19	spectrum	spectrum	NN
work_srieqfzrnjgrrmg6vwffxlf4re	75	20	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	75	21	proved	prove	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	75	22	using	use	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	75	23	Wiener	Wiener	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	75	24	's	's	POS
work_srieqfzrnjgrrmg6vwffxlf4re	75	25	Tauberian	tauberian	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	75	26	theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	75	27	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	76	1	It	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	76	2	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	76	3	interesting	interesting	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	76	4	to	to	TO
work_srieqfzrnjgrrmg6vwffxlf4re	76	5	note	note	VB
work_srieqfzrnjgrrmg6vwffxlf4re	76	6	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	76	7	as	as	IN
work_srieqfzrnjgrrmg6vwffxlf4re	76	8	Benedetto	Benedetto	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	76	9	does	do	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	76	10	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	76	11	that	that	IN
work_srieqfzrnjgrrmg6vwffxlf4re	76	12	Beurling	Beurling	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	76	13	's	's	POS
work_srieqfzrnjgrrmg6vwffxlf4re	76	14	original	original	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	76	15	proof	proof	NN
work_srieqfzrnjgrrmg6vwffxlf4re	76	16	did	do	VBD
work_srieqfzrnjgrrmg6vwffxlf4re	76	17	not	not	RB
work_srieqfzrnjgrrmg6vwffxlf4re	76	18	use	use	VB
work_srieqfzrnjgrrmg6vwffxlf4re	76	19	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	76	20	Tauberian	tauberian	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	76	21	theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	76	22	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	76	23	that	that	IN
work_srieqfzrnjgrrmg6vwffxlf4re	76	24	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	76	25	Tauberian	tauberian	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	76	26	theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	76	27	can	can	MD
work_srieqfzrnjgrrmg6vwffxlf4re	76	28	be	be	VB
work_srieqfzrnjgrrmg6vwffxlf4re	76	29	deduced	deduce	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	76	30	from	from	IN
work_srieqfzrnjgrrmg6vwffxlf4re	76	31	Beurling	Beurling	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	76	32	's	's	POS
work_srieqfzrnjgrrmg6vwffxlf4re	76	33	theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	76	34	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	77	1	Next	next	IN
work_srieqfzrnjgrrmg6vwffxlf4re	77	2	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	77	3	vast	vast	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	77	4	array	array	NN
work_srieqfzrnjgrrmg6vwffxlf4re	77	5	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	77	6	classical	classical	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	77	7	Tauberian	tauberian	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	77	8	theorems	theorem	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	77	9	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	77	10	given	give	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	77	11	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	78	1	Wiener	Wiener	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	78	2	's	's	POS
work_srieqfzrnjgrrmg6vwffxlf4re	78	3	proof	proof	NN
work_srieqfzrnjgrrmg6vwffxlf4re	78	4	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	78	5	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	78	6	prime	prime	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	78	7	number	number	NN
work_srieqfzrnjgrrmg6vwffxlf4re	78	8	theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	78	9	based	base	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	78	10	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	78	11	his	-PRON-	PRP$
work_srieqfzrnjgrrmg6vwffxlf4re	78	12	Tauberian	tauberian	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	78	13	theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	78	14	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	78	15	also	also	RB
work_srieqfzrnjgrrmg6vwffxlf4re	78	16	given	give	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	78	17	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	79	1	Next	next	RB
work_srieqfzrnjgrrmg6vwffxlf4re	79	2	we	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	79	3	find	find	VBP
work_srieqfzrnjgrrmg6vwffxlf4re	79	4	Wiener	Wiener	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	79	5	's	's	POS
work_srieqfzrnjgrrmg6vwffxlf4re	79	6	original	original	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	79	7	proof	proof	NN
work_srieqfzrnjgrrmg6vwffxlf4re	79	8	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	79	9	his	-PRON-	PRP$
work_srieqfzrnjgrrmg6vwffxlf4re	79	10	famous	famous	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	79	11	inversion	inversion	NN
work_srieqfzrnjgrrmg6vwffxlf4re	79	12	theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	79	13	[	[	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	79	14	if	if	IN
work_srieqfzrnjgrrmg6vwffxlf4re	79	15	ƒ	ƒ	NN
work_srieqfzrnjgrrmg6vwffxlf4re	79	16	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	79	17	^4(T	^4(T	NFP
work_srieqfzrnjgrrmg6vwffxlf4re	79	18	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	79	19	never	never	RB
work_srieqfzrnjgrrmg6vwffxlf4re	79	20	vanishes	vanish	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	79	21	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	79	22	then	then	RB
work_srieqfzrnjgrrmg6vwffxlf4re	79	23	l	l	NN
work_srieqfzrnjgrrmg6vwffxlf4re	79	24	/	/	SYM
work_srieqfzrnjgrrmg6vwffxlf4re	79	25	f	f	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	79	26	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	79	27	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	79	28	A(T	a(t	NN
work_srieqfzrnjgrrmg6vwffxlf4re	79	29	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	79	30	]	]	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	79	31	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	79	32	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	79	33	more	more	RBR
work_srieqfzrnjgrrmg6vwffxlf4re	79	34	general	general	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	79	35	Wiener	Wiener	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	79	36	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	79	37	Levy	Levy	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	79	38	theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	79	39	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	80	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	80	2	latter	latter	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	80	3	theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	80	4	was	be	VBD
work_srieqfzrnjgrrmg6vwffxlf4re	80	5	later	later	RB
work_srieqfzrnjgrrmg6vwffxlf4re	80	6	generalized	generalize	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	80	7	to	to	TO
work_srieqfzrnjgrrmg6vwffxlf4re	80	8	commutative	commutative	VB
work_srieqfzrnjgrrmg6vwffxlf4re	80	9	Banach	Banach	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	80	10	algebras	algebra	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	80	11	with	with	IN
work_srieqfzrnjgrrmg6vwffxlf4re	80	12	unit	unit	NN
work_srieqfzrnjgrrmg6vwffxlf4re	80	13	by	by	IN
work_srieqfzrnjgrrmg6vwffxlf4re	80	14	Gelfand	Gelfand	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	80	15	(	(	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	80	16	1941	1941	CD
work_srieqfzrnjgrrmg6vwffxlf4re	80	17	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	80	18	from	from	IN
work_srieqfzrnjgrrmg6vwffxlf4re	80	19	which	which	WDT
work_srieqfzrnjgrrmg6vwffxlf4re	80	20	Wiener	Wiener	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	80	21	's	's	POS
work_srieqfzrnjgrrmg6vwffxlf4re	80	22	original	original	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	80	23	inversion	inversion	NN
work_srieqfzrnjgrrmg6vwffxlf4re	80	24	theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	80	25	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	80	26	imme-	imme-	FW
work_srieqfzrnjgrrmg6vwffxlf4re	80	27	diate	diate	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	80	28	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	81	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	81	2	last	last	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	81	3	section	section	NN
work_srieqfzrnjgrrmg6vwffxlf4re	81	4	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	81	5	Chapter	chapter	NN
work_srieqfzrnjgrrmg6vwffxlf4re	81	6	2	2	CD
work_srieqfzrnjgrrmg6vwffxlf4re	81	7	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	81	8	more	more	RBR
work_srieqfzrnjgrrmg6vwffxlf4re	81	9	modern	modern	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	81	10	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	81	11	flavor	flavor	NN
work_srieqfzrnjgrrmg6vwffxlf4re	81	12	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	81	13	includes	include	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	81	14	Ditkin	Ditkin	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	81	15	's	's	POS
work_srieqfzrnjgrrmg6vwffxlf4re	81	16	theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	81	17	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	81	18	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	81	19	brief	brief	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	81	20	study	study	NN
work_srieqfzrnjgrrmg6vwffxlf4re	81	21	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	81	22	Calderón	Calderón	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	81	23	sets	set	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	81	24	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	81	25	Herz	Herz	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	81	26	sets	set	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	81	27	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	81	28	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	81	29	concludes	conclude	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	81	30	with	with	IN
work_srieqfzrnjgrrmg6vwffxlf4re	81	31	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	81	32	proof	proof	NN
work_srieqfzrnjgrrmg6vwffxlf4re	81	33	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	81	34	Varopoulos	Varopoulos	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	81	35	's	's	POS
work_srieqfzrnjgrrmg6vwffxlf4re	81	36	theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	81	37	that	that	WDT
work_srieqfzrnjgrrmg6vwffxlf4re	81	38	Kronecker	Kronecker	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	81	39	sets	set	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	81	40	E	e	NN
work_srieqfzrnjgrrmg6vwffxlf4re	81	41	are	be	VBP
work_srieqfzrnjgrrmg6vwffxlf4re	81	42	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	81	43	sets	set	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	81	44	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	81	45	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	81	46	fact	fact	NN
work_srieqfzrnjgrrmg6vwffxlf4re	81	47	they	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	81	48	support	support	VBP
work_srieqfzrnjgrrmg6vwffxlf4re	81	49	no	no	DT
work_srieqfzrnjgrrmg6vwffxlf4re	81	50	"	"	``
work_srieqfzrnjgrrmg6vwffxlf4re	81	51	true	true	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	81	52	pseudomeasures	pseudomeasure	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	81	53	"	"	''
work_srieqfzrnjgrrmg6vwffxlf4re	81	54	(	(	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	81	55	meaning	mean	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	81	56	"	"	``
work_srieqfzrnjgrrmg6vwffxlf4re	81	57	truly	truly	RB
work_srieqfzrnjgrrmg6vwffxlf4re	81	58	pseudo	pseudo	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	81	59	"	"	''
work_srieqfzrnjgrrmg6vwffxlf4re	81	60	measures	measure	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	81	61	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	81	62	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	81	63	i.e.	i.e.	FW
work_srieqfzrnjgrrmg6vwffxlf4re	82	1	A'(E	A'(E	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	82	2	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	82	3	consists	consist	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	82	4	exactly	exactly	RB
work_srieqfzrnjgrrmg6vwffxlf4re	82	5	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	82	6	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	82	7	regular	regular	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	82	8	Borel	Borel	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	82	9	measures	measure	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	82	10	supported	support	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	82	11	b	b	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	82	12	y	y	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	82	13	£	£	$
work_srieqfzrnjgrrmg6vwffxlf4re	82	14	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	83	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	83	2	book	book	NN
work_srieqfzrnjgrrmg6vwffxlf4re	83	3	contains	contain	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	83	4	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	83	5	wealth	wealth	NN
work_srieqfzrnjgrrmg6vwffxlf4re	83	6	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	83	7	material	material	NN
work_srieqfzrnjgrrmg6vwffxlf4re	83	8	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	83	9	though	though	IN
work_srieqfzrnjgrrmg6vwffxlf4re	83	10	much	much	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	83	11	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	83	12	it	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	83	13	can	can	MD
work_srieqfzrnjgrrmg6vwffxlf4re	83	14	be	be	VB
work_srieqfzrnjgrrmg6vwffxlf4re	83	15	found	find	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	83	16	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	83	17	other	other	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	83	18	books	book	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	83	19	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	83	20	journals	journal	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	83	21	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	84	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	84	2	book	book	NN
work_srieqfzrnjgrrmg6vwffxlf4re	84	3	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	84	4	well	well	RB
work_srieqfzrnjgrrmg6vwffxlf4re	84	5	motivated	motivated	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	84	6	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	84	7	well	well	RB
work_srieqfzrnjgrrmg6vwffxlf4re	84	8	documented	document	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	84	9	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	85	1	Unfortunately	unfortunately	RB
work_srieqfzrnjgrrmg6vwffxlf4re	85	2	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	85	3	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	85	4	my	-PRON-	PRP$
work_srieqfzrnjgrrmg6vwffxlf4re	85	5	opinion	opinion	NN
work_srieqfzrnjgrrmg6vwffxlf4re	85	6	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	85	7	book	book	NN
work_srieqfzrnjgrrmg6vwffxlf4re	85	8	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	85	9	not	not	RB
work_srieqfzrnjgrrmg6vwffxlf4re	85	10	well	well	RB
work_srieqfzrnjgrrmg6vwffxlf4re	85	11	organized	organized	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	85	12	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	86	1	It	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	86	2	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	86	3	easy	easy	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	86	4	to	to	TO
work_srieqfzrnjgrrmg6vwffxlf4re	86	5	find	find	VB
work_srieqfzrnjgrrmg6vwffxlf4re	86	6	some	some	DT
work_srieqfzrnjgrrmg6vwffxlf4re	86	7	useful	useful	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	86	8	item	item	NN
work_srieqfzrnjgrrmg6vwffxlf4re	86	9	someplace	someplace	NN
work_srieqfzrnjgrrmg6vwffxlf4re	86	10	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	86	11	then	then	RB
work_srieqfzrnjgrrmg6vwffxlf4re	86	12	lose	lose	VB
work_srieqfzrnjgrrmg6vwffxlf4re	86	13	it	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	86	14	forever	forever	RB
work_srieqfzrnjgrrmg6vwffxlf4re	86	15	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	87	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	87	2	index	index	NN
work_srieqfzrnjgrrmg6vwffxlf4re	87	3	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	87	4	complete	complete	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	87	5	as	as	RB
work_srieqfzrnjgrrmg6vwffxlf4re	87	6	far	far	RB
work_srieqfzrnjgrrmg6vwffxlf4re	87	7	as	as	IN
work_srieqfzrnjgrrmg6vwffxlf4re	87	8	definitions	definition	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	87	9	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	87	10	terms	term	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	87	11	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	87	12	concerned	concern	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	87	13	but	but	CC
work_srieqfzrnjgrrmg6vwffxlf4re	87	14	not	not	RB
work_srieqfzrnjgrrmg6vwffxlf4re	87	15	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	87	16	much	much	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	87	17	use	use	NN
work_srieqfzrnjgrrmg6vwffxlf4re	87	18	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	87	19	finding	find	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	87	20	references	reference	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	87	21	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	87	22	an	an	DT
work_srieqfzrnjgrrmg6vwffxlf4re	87	23	item	item	NN
work_srieqfzrnjgrrmg6vwffxlf4re	87	24	that	that	WDT
work_srieqfzrnjgrrmg6vwffxlf4re	87	25	may	may	MD
work_srieqfzrnjgrrmg6vwffxlf4re	87	26	well	well	RB
work_srieqfzrnjgrrmg6vwffxlf4re	87	27	be	be	VB
work_srieqfzrnjgrrmg6vwffxlf4re	87	28	sprinkled	sprinkle	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	87	29	throughout	throughout	IN
work_srieqfzrnjgrrmg6vwffxlf4re	87	30	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	87	31	book	book	NN
work_srieqfzrnjgrrmg6vwffxlf4re	87	32	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	88	1	For	for	IN
work_srieqfzrnjgrrmg6vwffxlf4re	88	2	instance	instance	NN
work_srieqfzrnjgrrmg6vwffxlf4re	88	3	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	88	4	an	an	DT
work_srieqfzrnjgrrmg6vwffxlf4re	88	5	entry	entry	NN
work_srieqfzrnjgrrmg6vwffxlf4re	88	6	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	88	7	examples	example	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	88	8	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	88	9	nonsynthesis	nonsynthesis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	88	10	sets	set	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	88	11	would	would	MD
work_srieqfzrnjgrrmg6vwffxlf4re	88	12	have	have	VB
work_srieqfzrnjgrrmg6vwffxlf4re	88	13	been	be	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	88	14	helpful	helpful	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	88	15	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	89	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	89	2	index	index	NN
work_srieqfzrnjgrrmg6vwffxlf4re	89	3	refers	refer	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	89	4	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	89	5	sections	section	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	89	6	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	89	7	not	not	RB
work_srieqfzrnjgrrmg6vwffxlf4re	89	8	pages	page	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	89	9	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	89	10	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	89	11	this	this	DT
work_srieqfzrnjgrrmg6vwffxlf4re	89	12	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	89	13	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	89	14	hindrance	hindrance	NN
work_srieqfzrnjgrrmg6vwffxlf4re	89	15	since	since	IN
work_srieqfzrnjgrrmg6vwffxlf4re	89	16	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	89	17	same	same	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	89	18	number	number	NN
work_srieqfzrnjgrrmg6vwffxlf4re	89	19	may	may	MD
work_srieqfzrnjgrrmg6vwffxlf4re	89	20	be	be	VB
work_srieqfzrnjgrrmg6vwffxlf4re	89	21	used	use	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	89	22	for	for	IN
work_srieqfzrnjgrrmg6vwffxlf4re	89	23	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	89	24	section	section	NN
work_srieqfzrnjgrrmg6vwffxlf4re	89	25	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	89	26	proposition	proposition	NN
work_srieqfzrnjgrrmg6vwffxlf4re	89	27	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	89	28	theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	89	29	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	89	30	formula	formula	NN
work_srieqfzrnjgrrmg6vwffxlf4re	89	31	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	89	32	exercise	exercise	NN
work_srieqfzrnjgrrmg6vwffxlf4re	89	33	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	90	1	Section	section	NN
work_srieqfzrnjgrrmg6vwffxlf4re	90	2	1.4.1	1.4.1	CD
work_srieqfzrnjgrrmg6vwffxlf4re	90	3	contains	contain	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	90	4	formulas	formula	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	90	5	1.4.1	1.4.1	CD
work_srieqfzrnjgrrmg6vwffxlf4re	90	6	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	90	7	1.4.8	1.4.8	CD
work_srieqfzrnjgrrmg6vwffxlf4re	90	8	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	90	9	Propositions	Propositions	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	90	10	1.4.1	1.4.1	CD
work_srieqfzrnjgrrmg6vwffxlf4re	90	11	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	90	12	1.4.2	1.4.2	CD
work_srieqfzrnjgrrmg6vwffxlf4re	90	13	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	90	14	while	while	IN
work_srieqfzrnjgrrmg6vwffxlf4re	90	15	Theorem	theorem	NN
work_srieqfzrnjgrrmg6vwffxlf4re	90	16	1.4.1	1.4.1	CD
work_srieqfzrnjgrrmg6vwffxlf4re	90	17	shows	show	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	90	18	up	up	RP
work_srieqfzrnjgrrmg6vwffxlf4re	90	19	later	later	RB
work_srieqfzrnjgrrmg6vwffxlf4re	90	20	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	90	21	Section	section	NN
work_srieqfzrnjgrrmg6vwffxlf4re	90	22	1.4.5	1.4.5	CD
work_srieqfzrnjgrrmg6vwffxlf4re	90	23	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	91	1	It	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	91	2	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	91	3	also	also	RB
work_srieqfzrnjgrrmg6vwffxlf4re	91	4	difficult	difficult	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	91	5	to	to	TO
work_srieqfzrnjgrrmg6vwffxlf4re	91	6	find	find	VB
work_srieqfzrnjgrrmg6vwffxlf4re	91	7	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	91	8	result	result	NN
work_srieqfzrnjgrrmg6vwffxlf4re	91	9	by	by	IN
work_srieqfzrnjgrrmg6vwffxlf4re	91	10	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	91	11	frequently	frequently	RB
work_srieqfzrnjgrrmg6vwffxlf4re	91	12	quoted	quote	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	91	13	author	author	NN
work_srieqfzrnjgrrmg6vwffxlf4re	91	14	;	;	:
work_srieqfzrnjgrrmg6vwffxlf4re	91	15	Beurling	Beurling	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	91	16	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	91	17	referred	refer	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	91	18	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	91	19	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	91	20	36	36	CD
work_srieqfzrnjgrrmg6vwffxlf4re	91	21	sections	section	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	91	22	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	91	23	exercises	exercise	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	91	24	!	!	.
work_srieqfzrnjgrrmg6vwffxlf4re	92	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	92	2	question	question	NN
work_srieqfzrnjgrrmg6vwffxlf4re	92	3	remains	remain	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	92	4	:	:	:
work_srieqfzrnjgrrmg6vwffxlf4re	92	5	For	for	IN
work_srieqfzrnjgrrmg6vwffxlf4re	92	6	whom	whom	WP
work_srieqfzrnjgrrmg6vwffxlf4re	92	7	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	92	8	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	92	9	book	book	NN
work_srieqfzrnjgrrmg6vwffxlf4re	92	10	suitable	suitable	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	92	11	?	?	.
work_srieqfzrnjgrrmg6vwffxlf4re	93	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	93	2	specialist	specialist	NN
work_srieqfzrnjgrrmg6vwffxlf4re	93	3	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	93	4	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	93	5	synthesis	synthesis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	93	6	will	will	MD
work_srieqfzrnjgrrmg6vwffxlf4re	93	7	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	93	8	course	course	NN
work_srieqfzrnjgrrmg6vwffxlf4re	93	9	find	find	VB
work_srieqfzrnjgrrmg6vwffxlf4re	93	10	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	93	11	book	book	NN
work_srieqfzrnjgrrmg6vwffxlf4re	93	12	invaluable	invaluable	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	93	13	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	93	14	but	but	CC
work_srieqfzrnjgrrmg6vwffxlf4re	93	15	may	may	MD
work_srieqfzrnjgrrmg6vwffxlf4re	93	16	become	become	VB
work_srieqfzrnjgrrmg6vwffxlf4re	93	17	frustrated	frustrated	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	93	18	chasing	chase	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	93	19	down	down	RP
work_srieqfzrnjgrrmg6vwffxlf4re	93	20	useful	useful	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	93	21	tidbits	tidbit	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	93	22	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	94	1	I	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	94	2	would	would	MD
work_srieqfzrnjgrrmg6vwffxlf4re	94	3	not	not	RB
work_srieqfzrnjgrrmg6vwffxlf4re	94	4	recommend	recommend	VB
work_srieqfzrnjgrrmg6vwffxlf4re	94	5	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	94	6	book	book	NN
work_srieqfzrnjgrrmg6vwffxlf4re	94	7	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	94	8	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	94	9	casual	casual	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	94	10	nonspecialist	nonspecialist	NN
work_srieqfzrnjgrrmg6vwffxlf4re	94	11	who	who	WP
work_srieqfzrnjgrrmg6vwffxlf4re	94	12	wants	want	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	94	13	to	to	TO
work_srieqfzrnjgrrmg6vwffxlf4re	94	14	learn	learn	VB
work_srieqfzrnjgrrmg6vwffxlf4re	94	15	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	94	16	little	little	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	94	17	about	about	IN
work_srieqfzrnjgrrmg6vwffxlf4re	94	18	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	94	19	subject	subject	NN
work_srieqfzrnjgrrmg6vwffxlf4re	94	20	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	95	1	For	for	IN
work_srieqfzrnjgrrmg6vwffxlf4re	95	2	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	95	3	License	license	NN
work_srieqfzrnjgrrmg6vwffxlf4re	95	4	or	or	CC
work_srieqfzrnjgrrmg6vwffxlf4re	95	5	copyright	copyright	NN
work_srieqfzrnjgrrmg6vwffxlf4re	95	6	restrictions	restriction	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	95	7	may	may	MD
work_srieqfzrnjgrrmg6vwffxlf4re	95	8	apply	apply	VB
work_srieqfzrnjgrrmg6vwffxlf4re	95	9	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	95	10	redistribution	redistribution	NN
work_srieqfzrnjgrrmg6vwffxlf4re	95	11	;	;	:
work_srieqfzrnjgrrmg6vwffxlf4re	95	12	see	see	VB
work_srieqfzrnjgrrmg6vwffxlf4re	95	13	https://www.ams.org/journal-terms-of-use	https://www.ams.org/journal-terms-of-use	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	95	14	964	964	CD
work_srieqfzrnjgrrmg6vwffxlf4re	95	15	BOOK	BOOK	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	95	16	REVIEWS	review	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	95	17	person	person	NN
work_srieqfzrnjgrrmg6vwffxlf4re	95	18	who	who	WP
work_srieqfzrnjgrrmg6vwffxlf4re	95	19	wants	want	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	95	20	to	to	TO
work_srieqfzrnjgrrmg6vwffxlf4re	95	21	learn	learn	VB
work_srieqfzrnjgrrmg6vwffxlf4re	95	22	commutative	commutative	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	95	23	harmonic	harmonic	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	95	24	analysis	analysis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	95	25	I	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	95	26	would	would	MD
work_srieqfzrnjgrrmg6vwffxlf4re	95	27	recom-	recom-	VB
work_srieqfzrnjgrrmg6vwffxlf4re	95	28	mend	mend	VB
work_srieqfzrnjgrrmg6vwffxlf4re	95	29	several	several	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	95	30	less	less	RBR
work_srieqfzrnjgrrmg6vwffxlf4re	95	31	specialized	specialized	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	95	32	books	book	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	95	33	instead	instead	RB
work_srieqfzrnjgrrmg6vwffxlf4re	95	34	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	96	1	And	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	96	2	for	for	IN
work_srieqfzrnjgrrmg6vwffxlf4re	96	3	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	96	4	student	student	NN
work_srieqfzrnjgrrmg6vwffxlf4re	96	5	interested	interested	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	96	6	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	96	7	spectral	spectral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	96	8	synthesis	synthesis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	96	9	I	-PRON-	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	96	10	would	would	MD
work_srieqfzrnjgrrmg6vwffxlf4re	96	11	recommend	recommend	VB
work_srieqfzrnjgrrmg6vwffxlf4re	96	12	Benedetto	Benedetto	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	96	13	's	's	POS
work_srieqfzrnjgrrmg6vwffxlf4re	96	14	book	book	NN
work_srieqfzrnjgrrmg6vwffxlf4re	96	15	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	96	16	conjunction	conjunction	NN
work_srieqfzrnjgrrmg6vwffxlf4re	96	17	with	with	IN
work_srieqfzrnjgrrmg6vwffxlf4re	96	18	other	other	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	96	19	books	book	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	96	20	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	96	21	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	96	22	subject	subject	NN
work_srieqfzrnjgrrmg6vwffxlf4re	96	23	such	such	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	96	24	as	as	IN
work_srieqfzrnjgrrmg6vwffxlf4re	96	25	[	[	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	96	26	8	8	CD
work_srieqfzrnjgrrmg6vwffxlf4re	96	27	]	]	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	96	28	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	96	29	[	[	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	96	30	7	7	CD
work_srieqfzrnjgrrmg6vwffxlf4re	96	31	]	]	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	96	32	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	96	33	[	[	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	96	34	2	2	CD
work_srieqfzrnjgrrmg6vwffxlf4re	96	35	]	]	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	96	36	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	96	37	[	[	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	96	38	5	5	CD
work_srieqfzrnjgrrmg6vwffxlf4re	96	39	]	]	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	96	40	or	or	CC
work_srieqfzrnjgrrmg6vwffxlf4re	96	41	[	[	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	96	42	1	1	CD
work_srieqfzrnjgrrmg6vwffxlf4re	96	43	]	]	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	96	44	;	;	:
work_srieqfzrnjgrrmg6vwffxlf4re	96	45	incidentally	incidentally	RB
work_srieqfzrnjgrrmg6vwffxlf4re	96	46	[	[	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	96	47	1	1	CD
work_srieqfzrnjgrrmg6vwffxlf4re	96	48	]	]	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	96	49	seems	seem	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	96	50	better	well	RBR
work_srieqfzrnjgrrmg6vwffxlf4re	96	51	organized	organized	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	96	52	than	than	IN
work_srieqfzrnjgrrmg6vwffxlf4re	96	53	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	96	54	present	present	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	96	55	text	text	NN
work_srieqfzrnjgrrmg6vwffxlf4re	96	56	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	97	1	A	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	97	2	lot	lot	NN
work_srieqfzrnjgrrmg6vwffxlf4re	97	3	can	can	MD
work_srieqfzrnjgrrmg6vwffxlf4re	97	4	also	also	RB
work_srieqfzrnjgrrmg6vwffxlf4re	97	5	be	be	VB
work_srieqfzrnjgrrmg6vwffxlf4re	97	6	learned	learn	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	97	7	by	by	IN
work_srieqfzrnjgrrmg6vwffxlf4re	97	8	going	go	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	97	9	back	back	RB
work_srieqfzrnjgrrmg6vwffxlf4re	97	10	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	97	11	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	97	12	original	original	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	97	13	sources	source	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	97	14	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	97	15	for	for	IN
work_srieqfzrnjgrrmg6vwffxlf4re	97	16	instance	instance	NN
work_srieqfzrnjgrrmg6vwffxlf4re	97	17	[	[	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	97	18	9	9	CD
work_srieqfzrnjgrrmg6vwffxlf4re	97	19	]	]	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	97	20	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	98	1	REFERENCES	reference	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	98	2	1	1	CD
work_srieqfzrnjgrrmg6vwffxlf4re	98	3	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	99	1	J.	J.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	99	2	Benedetto	Benedetto	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	99	3	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	99	4	Harmonic	Harmonic	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	99	5	analysis	analysis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	99	6	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	99	7	totally	totally	RB
work_srieqfzrnjgrrmg6vwffxlf4re	99	8	disconnected	disconnected	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	99	9	sets	set	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	99	10	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	99	11	Lecture	Lecture	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	99	12	Notes	Notes	NNPS
work_srieqfzrnjgrrmg6vwffxlf4re	99	13	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	99	14	Math	Math	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	99	15	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	99	16	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	99	17	vol	vol	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	99	18	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	100	1	202	202	CD
work_srieqfzrnjgrrmg6vwffxlf4re	100	2	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	100	3	Springer	Springer	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	100	4	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	100	5	Verlag	Verlag	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	100	6	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	100	7	Berlin	Berlin	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	100	8	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	100	9	New	New	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	100	10	York	York	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	100	11	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	100	12	1971	1971	CD
work_srieqfzrnjgrrmg6vwffxlf4re	100	13	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	101	1	2	2	LS
work_srieqfzrnjgrrmg6vwffxlf4re	101	2	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	102	1	E.	E.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	102	2	Hewitt	Hewitt	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	102	3	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	102	4	K.	K.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	102	5	A.	A.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	102	6	Ross	Ross	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	102	7	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	102	8	Abstract	Abstract	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	102	9	harmonic	harmonic	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	102	10	analysis	analysis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	102	11	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	102	12	II	II	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	102	13	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	102	14	Die	Die	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	102	15	Grundlehren	Grundlehren	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	102	16	der	der	NN
work_srieqfzrnjgrrmg6vwffxlf4re	102	17	math	math	NN
work_srieqfzrnjgrrmg6vwffxlf4re	102	18	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	103	1	Wiss	Wiss	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	103	2	.	.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	103	3	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	103	4	Band	Band	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	103	5	152	152	CD
work_srieqfzrnjgrrmg6vwffxlf4re	103	6	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	103	7	Springer	Springer	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	103	8	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	103	9	Verlag	Verlag	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	103	10	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	103	11	Berlin	Berlin	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	103	12	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	103	13	New	New	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	103	14	York	York	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	103	15	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	103	16	1970	1970	CD
work_srieqfzrnjgrrmg6vwffxlf4re	103	17	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	104	1	MR	MR	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	104	2	41	41	CD
work_srieqfzrnjgrrmg6vwffxlf4re	104	3	#	#	$
work_srieqfzrnjgrrmg6vwffxlf4re	104	4	7378	7378	CD
work_srieqfzrnjgrrmg6vwffxlf4re	104	5	;	;	:
work_srieqfzrnjgrrmg6vwffxlf4re	104	6	erratum	erratum	NN
work_srieqfzrnjgrrmg6vwffxlf4re	104	7	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	104	8	42	42	CD
work_srieqfzrnjgrrmg6vwffxlf4re	104	9	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	104	10	p.	p.	NN
work_srieqfzrnjgrrmg6vwffxlf4re	104	11	1825	1825	CD
work_srieqfzrnjgrrmg6vwffxlf4re	104	12	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	105	1	3	3	LS
work_srieqfzrnjgrrmg6vwffxlf4re	105	2	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	106	1	J.-P.	J.-P.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	106	2	Kahane	Kahane	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	106	3	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	106	4	R.	R.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	106	5	Salem	Salem	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	106	6	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	106	7	Ensembles	Ensembles	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	106	8	parfaits	parfait	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	106	9	et	et	NN
work_srieqfzrnjgrrmg6vwffxlf4re	106	10	séries	série	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	106	11	trigonométriques	trigonométrique	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	106	12	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	106	13	Actualités	Actualités	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	106	14	Sci	Sci	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	106	15	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	107	1	Indust	Indust	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	107	2	.	.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	107	3	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	107	4	no	no	UH
work_srieqfzrnjgrrmg6vwffxlf4re	107	5	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	108	1	1301	1301	CD
work_srieqfzrnjgrrmg6vwffxlf4re	108	2	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	108	3	Hermann	Hermann	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	108	4	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	108	5	Paris	Paris	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	108	6	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	108	7	1963	1963	CD
work_srieqfzrnjgrrmg6vwffxlf4re	108	8	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	109	1	MR	MR	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	109	2	28	28	CD
work_srieqfzrnjgrrmg6vwffxlf4re	109	3	#	#	$
work_srieqfzrnjgrrmg6vwffxlf4re	109	4	3279	3279	CD
work_srieqfzrnjgrrmg6vwffxlf4re	109	5	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	110	1	4	4	LS
work_srieqfzrnjgrrmg6vwffxlf4re	110	2	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	111	1	Y.	Y.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	111	2	Katznelson	Katznelson	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	111	3	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	111	4	An	an	DT
work_srieqfzrnjgrrmg6vwffxlf4re	111	5	introduction	introduction	NN
work_srieqfzrnjgrrmg6vwffxlf4re	111	6	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	111	7	harmonie	harmonie	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	111	8	analysis	analysis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	111	9	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	111	10	Wiley	Wiley	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	111	11	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	111	12	New	New	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	111	13	York	York	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	111	14	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	111	15	London	London	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	111	16	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	111	17	1968	1968	CD
work_srieqfzrnjgrrmg6vwffxlf4re	111	18	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	112	1	MR	MR	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	112	2	40	40	CD
work_srieqfzrnjgrrmg6vwffxlf4re	112	3	#	#	$
work_srieqfzrnjgrrmg6vwffxlf4re	112	4	1734	1734	CD
work_srieqfzrnjgrrmg6vwffxlf4re	112	5	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	113	1	5	5	CD
work_srieqfzrnjgrrmg6vwffxlf4re	113	2	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	114	1	L	L	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	114	2	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	114	3	Â.	Â.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	115	1	Lindahl	Lindahl	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	115	2	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	115	3	F.	F.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	115	4	Poulsen	Poulsen	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	115	5	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	115	6	Thin	thin	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	115	7	sets	set	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	115	8	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	115	9	harmonie	harmonie	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	115	10	analysis	analysis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	115	11	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	115	12	Lecture	Lecture	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	115	13	Notes	Notes	NNPS
work_srieqfzrnjgrrmg6vwffxlf4re	115	14	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	115	15	Pure	Pure	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	115	16	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	115	17	Appl	Appl	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	115	18	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	116	1	Math	Math	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	116	2	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	116	3	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	116	4	Marcel	Marcel	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	116	5	Dekker	Dekker	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	116	6	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	116	7	New	New	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	116	8	York	York	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	116	9	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	116	10	1971	1971	CD
work_srieqfzrnjgrrmg6vwffxlf4re	116	11	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	117	1	6	6	CD
work_srieqfzrnjgrrmg6vwffxlf4re	117	2	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	118	1	Y.	Y.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	118	2	Meyer	Meyer	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	118	3	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	118	4	Algebraic	Algebraic	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	118	5	numbers	number	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	118	6	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	118	7	harmonic	harmonic	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	118	8	analysis	analysis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	118	9	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	118	10	North	North	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	118	11	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	118	12	Holland	Holland	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	118	13	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	118	14	Amsterdam	Amsterdam	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	118	15	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	118	16	1972	1972	CD
work_srieqfzrnjgrrmg6vwffxlf4re	118	17	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	119	1	7	7	LS
work_srieqfzrnjgrrmg6vwffxlf4re	119	2	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	120	1	H.	H.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	120	2	Reiter	Reiter	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	120	3	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	120	4	Classical	Classical	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	120	5	harmonic	harmonic	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	120	6	analysis	analysis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	120	7	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	120	8	locally	locally	RB
work_srieqfzrnjgrrmg6vwffxlf4re	120	9	compact	compact	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	120	10	groups	group	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	120	11	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	120	12	Clarendon	Clarendon	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	120	13	Press	Press	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	120	14	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	120	15	Oxford	Oxford	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	120	16	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	120	17	1968	1968	CD
work_srieqfzrnjgrrmg6vwffxlf4re	120	18	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	121	1	MR	MR	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	121	2	46	46	CD
work_srieqfzrnjgrrmg6vwffxlf4re	121	3	#	#	$
work_srieqfzrnjgrrmg6vwffxlf4re	121	4	5933	5933	CD
work_srieqfzrnjgrrmg6vwffxlf4re	121	5	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	122	1	8	8	LS
work_srieqfzrnjgrrmg6vwffxlf4re	122	2	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	123	1	W.	W.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	123	2	Rudin	Rudin	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	123	3	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	123	4	Fourier	Fourier	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	123	5	analysis	analysis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	123	6	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	123	7	groups	group	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	123	8	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	123	9	Interscience	Interscience	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	123	10	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	123	11	New	New	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	123	12	York	York	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	123	13	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	123	14	1962	1962	CD
work_srieqfzrnjgrrmg6vwffxlf4re	123	15	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	124	1	MR	MR	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	124	2	27	27	CD
work_srieqfzrnjgrrmg6vwffxlf4re	124	3	#	#	$
work_srieqfzrnjgrrmg6vwffxlf4re	124	4	2808	2808	CD
work_srieqfzrnjgrrmg6vwffxlf4re	124	5	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	125	1	9	9	CD
work_srieqfzrnjgrrmg6vwffxlf4re	125	2	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	126	1	N.	N.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	126	2	Wiener	Wiener	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	126	3	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	126	4	Generalized	Generalized	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	126	5	harmonic	harmonic	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	126	6	analysis	analysis	NN
work_srieqfzrnjgrrmg6vwffxlf4re	126	7	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	126	8	Tauberian	tauberian	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	126	9	theorems	theorem	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	126	10	(	(	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	126	11	reprinted	reprint	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	126	12	from	from	IN
work_srieqfzrnjgrrmg6vwffxlf4re	126	13	1930	1930	CD
work_srieqfzrnjgrrmg6vwffxlf4re	126	14	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	126	15	1932	1932	CD
work_srieqfzrnjgrrmg6vwffxlf4re	126	16	papers	paper	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	126	17	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	126	18	M.I.T.	M.I.T.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	127	1	Press	Press	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	127	2	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	127	3	Cambridge	Cambridge	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	127	4	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	127	5	Mass.	Massachusetts	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	127	6	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	127	7	1964	1964	CD
work_srieqfzrnjgrrmg6vwffxlf4re	127	8	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	128	1	MR	MR	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	128	2	32	32	CD
work_srieqfzrnjgrrmg6vwffxlf4re	128	3	#	#	$
work_srieqfzrnjgrrmg6vwffxlf4re	128	4	3	3	CD
work_srieqfzrnjgrrmg6vwffxlf4re	128	5	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	129	1	KENNETH	KENNETH	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	129	2	A.	A.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	129	3	Ross	Ross	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	129	4	BULLETIN	BULLETIN	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	129	5	OF	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	129	6	THE	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	129	7	AMERICAN	AMERICAN	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	129	8	MATHEMATICAL	MATHEMATICAL	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	129	9	SOCIETY	SOCIETY	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	129	10	Volume	Volume	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	129	11	83	83	CD
work_srieqfzrnjgrrmg6vwffxlf4re	129	12	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	129	13	Number	Number	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	129	14	S	S	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	129	15	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	129	16	September	September	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	129	17	1977	1977	CD
work_srieqfzrnjgrrmg6vwffxlf4re	129	18	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	129	19	theory	theory	NN
work_srieqfzrnjgrrmg6vwffxlf4re	129	20	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	129	21	approximate	approximate	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	129	22	methods	method	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	129	23	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	129	24	their	-PRON-	PRP$
work_srieqfzrnjgrrmg6vwffxlf4re	129	25	application	application	NN
work_srieqfzrnjgrrmg6vwffxlf4re	129	26	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	129	27	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	129	28	numerical	numerical	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	129	29	solution	solution	NN
work_srieqfzrnjgrrmg6vwffxlf4re	129	30	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	129	31	singular	singular	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	129	32	integral	integral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	129	33	equations	equation	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	129	34	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	129	35	by	by	IN
work_srieqfzrnjgrrmg6vwffxlf4re	129	36	V.	V.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	129	37	V.	V.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	129	38	Ivanov	Ivanov	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	129	39	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	129	40	Noordhoff	Noordhoff	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	129	41	Interna-	Interna-	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	129	42	tional	tional	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	129	43	Publishing	Publishing	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	129	44	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	129	45	Schuttersveld	Schuttersveld	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	129	46	9	9	CD
work_srieqfzrnjgrrmg6vwffxlf4re	129	47	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	129	48	P.	P.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	129	49	O.	O.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	130	1	Box	Box	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	130	2	26	26	CD
work_srieqfzrnjgrrmg6vwffxlf4re	130	3	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	130	4	Leyden	Leyden	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	130	5	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	130	6	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	130	7	Netherlands	Netherlands	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	130	8	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	130	9	xvii	xvii	NN
work_srieqfzrnjgrrmg6vwffxlf4re	130	10	+	+	CC
work_srieqfzrnjgrrmg6vwffxlf4re	130	11	330	330	CD
work_srieqfzrnjgrrmg6vwffxlf4re	130	12	pp	pp	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	130	13	.	.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	130	14	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	130	15	price	price	NN
work_srieqfzrnjgrrmg6vwffxlf4re	130	16	Dfl	dfl	NN
work_srieqfzrnjgrrmg6vwffxlf4re	130	17	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	131	1	70,-	70,-	CD
work_srieqfzrnjgrrmg6vwffxlf4re	131	2	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	132	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	132	2	main	main	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	132	3	theme	theme	NN
work_srieqfzrnjgrrmg6vwffxlf4re	132	4	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	132	5	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	132	6	book	book	NN
work_srieqfzrnjgrrmg6vwffxlf4re	132	7	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	132	8	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	132	9	numerical	numerical	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	132	10	solution	solution	NN
work_srieqfzrnjgrrmg6vwffxlf4re	132	11	of	of	IN
work_srieqfzrnjgrrmg6vwffxlf4re	132	12	singular	singular	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	132	13	integral	integral	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	132	14	equations	equation	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	132	15	with	with	IN
work_srieqfzrnjgrrmg6vwffxlf4re	132	16	Cauchy	Cauchy	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	132	17	kernels	kernel	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	132	18	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	133	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	133	2	following	follow	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	133	3	set	set	NN
work_srieqfzrnjgrrmg6vwffxlf4re	133	4	up	up	RP
work_srieqfzrnjgrrmg6vwffxlf4re	133	5	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	133	6	typical	typical	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	133	7	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	134	1	Let	let	VB
work_srieqfzrnjgrrmg6vwffxlf4re	134	2	y	y	PRP
work_srieqfzrnjgrrmg6vwffxlf4re	134	3	denote	denote	VB
work_srieqfzrnjgrrmg6vwffxlf4re	134	4	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	134	5	unit	unit	NN
work_srieqfzrnjgrrmg6vwffxlf4re	134	6	circle	circle	NN
work_srieqfzrnjgrrmg6vwffxlf4re	134	7	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	134	8	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	134	9	complex	complex	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	134	10	plane	plane	NN
work_srieqfzrnjgrrmg6vwffxlf4re	134	11	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	134	12	consider	consider	VB
work_srieqfzrnjgrrmg6vwffxlf4re	134	13	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	134	14	equation	equation	NN
work_srieqfzrnjgrrmg6vwffxlf4re	134	15	:	:	:
work_srieqfzrnjgrrmg6vwffxlf4re	134	16	(	(	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	134	17	1	1	LS
work_srieqfzrnjgrrmg6vwffxlf4re	134	18	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	134	19	K	K	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	134	20	<	<	XX
work_srieqfzrnjgrrmg6vwffxlf4re	134	21	t>=K	t>=K	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	134	22	°	°	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	134	23	<t	<t	ADD
work_srieqfzrnjgrrmg6vwffxlf4re	134	24	>	>	XX
work_srieqfzrnjgrrmg6vwffxlf4re	134	25	+	+	SYM
work_srieqfzrnjgrrmg6vwffxlf4re	134	26	yk$	yk$	ADD
work_srieqfzrnjgrrmg6vwffxlf4re	134	27	=	=	SYM
work_srieqfzrnjgrrmg6vwffxlf4re	134	28	f	f	LS
work_srieqfzrnjgrrmg6vwffxlf4re	134	29	where	where	WRB
work_srieqfzrnjgrrmg6vwffxlf4re	134	30	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	134	31	dominant	dominant	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	134	32	operator	operator	NN
work_srieqfzrnjgrrmg6vwffxlf4re	134	33	K	K	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	134	34	°	°	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	134	35	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	134	36	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	134	37	operator	operator	NN
work_srieqfzrnjgrrmg6vwffxlf4re	134	38	k	k	NN
work_srieqfzrnjgrrmg6vwffxlf4re	134	39	are	be	VBP
work_srieqfzrnjgrrmg6vwffxlf4re	134	40	given	give	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	134	41	by	by	IN
work_srieqfzrnjgrrmg6vwffxlf4re	134	42	K	K	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	134	43	°	°	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	134	44	=	=	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	134	45	a(t)<f>(t	a(t)<f>(t	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	134	46	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	134	47	+	+	CC
work_srieqfzrnjgrrmg6vwffxlf4re	134	48	(	(	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	134	49	7riylb(t)f	7riylb(t)f	CD
work_srieqfzrnjgrrmg6vwffxlf4re	134	50	<	<	XX
work_srieqfzrnjgrrmg6vwffxlf4re	134	51	t>(r)(T	t>(r)(T	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	134	52	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	134	53	t)~ldr	t)~ldr	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	134	54	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	134	55	k$	k$	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	134	56	=	=	SYM
work_srieqfzrnjgrrmg6vwffxlf4re	134	57	fk(r	fk(r	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	134	58	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	134	59	t)^T)dr	t)^t)dr	NN
work_srieqfzrnjgrrmg6vwffxlf4re	134	60	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	134	61	with	with	IN
work_srieqfzrnjgrrmg6vwffxlf4re	134	62	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	134	63	first	first	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	134	64	integral	integral	NN
work_srieqfzrnjgrrmg6vwffxlf4re	134	65	having	have	VBG
work_srieqfzrnjgrrmg6vwffxlf4re	134	66	its	-PRON-	PRP$
work_srieqfzrnjgrrmg6vwffxlf4re	134	67	Cauchy	Cauchy	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	134	68	principal	principal	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	134	69	value	value	NN
work_srieqfzrnjgrrmg6vwffxlf4re	134	70	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	135	1	In	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	135	2	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	135	3	classical	classical	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	135	4	theory	theory	NN
work_srieqfzrnjgrrmg6vwffxlf4re	135	5	(	(	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	135	6	cf	cf	NN
work_srieqfzrnjgrrmg6vwffxlf4re	135	7	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	136	1	[	[	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	136	2	1	1	CD
work_srieqfzrnjgrrmg6vwffxlf4re	136	3	]	]	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	136	4	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	136	5	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	136	6	solution	solution	NN
work_srieqfzrnjgrrmg6vwffxlf4re	136	7	<	<	XX
work_srieqfzrnjgrrmg6vwffxlf4re	136	8	£	£	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	136	9	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	136	10	sought	seek	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	136	11	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	136	12	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	136	13	Holder	Holder	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	136	14	class	class	NN
work_srieqfzrnjgrrmg6vwffxlf4re	136	15	H(a	H(a	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	136	16	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	136	17	y	y	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	136	18	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	136	19	(	(	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	136	20	0	0	NFP
work_srieqfzrnjgrrmg6vwffxlf4re	136	21	<	<	XX
work_srieqfzrnjgrrmg6vwffxlf4re	136	22	a	a	NN
work_srieqfzrnjgrrmg6vwffxlf4re	136	23	<	<	XX
work_srieqfzrnjgrrmg6vwffxlf4re	136	24	1	1	CD
work_srieqfzrnjgrrmg6vwffxlf4re	136	25	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	136	26	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	136	27	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	136	28	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	136	29	coefficient	coefficient	NN
work_srieqfzrnjgrrmg6vwffxlf4re	136	30	functions	function	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	136	31	together	together	RB
work_srieqfzrnjgrrmg6vwffxlf4re	136	32	with	with	IN
work_srieqfzrnjgrrmg6vwffxlf4re	136	33	(	(	-LRB-
work_srieqfzrnjgrrmg6vwffxlf4re	136	34	k	k	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	136	35	<	<	XX
work_srieqfzrnjgrrmg6vwffxlf4re	136	36	j>)(t	j>)(t	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	136	37	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	136	38	are	be	VBP
work_srieqfzrnjgrrmg6vwffxlf4re	136	39	assumed	assume	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	136	40	to	to	TO
work_srieqfzrnjgrrmg6vwffxlf4re	136	41	be	be	VB
work_srieqfzrnjgrrmg6vwffxlf4re	136	42	Holder	holder	NN
work_srieqfzrnjgrrmg6vwffxlf4re	136	43	continuous	continuous	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	136	44	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	136	45	y.	y.	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	137	1	There	there	EX
work_srieqfzrnjgrrmg6vwffxlf4re	137	2	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	137	3	also	also	RB
work_srieqfzrnjgrrmg6vwffxlf4re	137	4	an	an	DT
work_srieqfzrnjgrrmg6vwffxlf4re	137	5	Lp	Lp	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	137	6	theory	theory	NN
work_srieqfzrnjgrrmg6vwffxlf4re	137	7	in	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	137	8	which	which	WDT
work_srieqfzrnjgrrmg6vwffxlf4re	137	9	these	these	DT
work_srieqfzrnjgrrmg6vwffxlf4re	137	10	restrictions	restriction	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	137	11	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	137	12	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	137	13	coefficient	coefficient	NN
work_srieqfzrnjgrrmg6vwffxlf4re	137	14	functions	function	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	137	15	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	137	16	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	137	17	kernel	kernel	NN
work_srieqfzrnjgrrmg6vwffxlf4re	137	18	k(r	k(r	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	137	19	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	137	20	t	t	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	137	21	)	)	-RRB-
work_srieqfzrnjgrrmg6vwffxlf4re	137	22	are	be	VBP
work_srieqfzrnjgrrmg6vwffxlf4re	137	23	relaxed	relax	VBN
work_srieqfzrnjgrrmg6vwffxlf4re	137	24	somewhat	somewhat	RB
work_srieqfzrnjgrrmg6vwffxlf4re	137	25	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	138	1	There	there	EX
work_srieqfzrnjgrrmg6vwffxlf4re	138	2	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	138	3	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	138	4	good	good	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	138	5	case	case	NN
work_srieqfzrnjgrrmg6vwffxlf4re	138	6	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	138	7	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	138	8	bad	bad	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	138	9	case	case	NN
work_srieqfzrnjgrrmg6vwffxlf4re	138	10	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	139	1	The	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	139	2	good	good	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	139	3	case	case	NN
work_srieqfzrnjgrrmg6vwffxlf4re	139	4	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	139	5	when	when	WRB
work_srieqfzrnjgrrmg6vwffxlf4re	139	6	a2	a2	NN
work_srieqfzrnjgrrmg6vwffxlf4re	139	7	-	-	HYPH
work_srieqfzrnjgrrmg6vwffxlf4re	139	8	b2	b2	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	139	9	^	^	NN
work_srieqfzrnjgrrmg6vwffxlf4re	139	10	0	0	NFP
work_srieqfzrnjgrrmg6vwffxlf4re	139	11	on	on	IN
work_srieqfzrnjgrrmg6vwffxlf4re	139	12	Y	Y	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	139	13	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	139	14	and	and	CC
work_srieqfzrnjgrrmg6vwffxlf4re	139	15	bad	bad	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	139	16	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	139	17	"	"	``
work_srieqfzrnjgrrmg6vwffxlf4re	139	18	not	not	RB
work_srieqfzrnjgrrmg6vwffxlf4re	139	19	good	good	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	139	20	"	"	''
work_srieqfzrnjgrrmg6vwffxlf4re	139	21	.	.	.
work_srieqfzrnjgrrmg6vwffxlf4re	140	1	In	in	IN
work_srieqfzrnjgrrmg6vwffxlf4re	140	2	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	140	3	good	good	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	140	4	case	case	NN
work_srieqfzrnjgrrmg6vwffxlf4re	140	5	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	140	6	K	K	NNP
work_srieqfzrnjgrrmg6vwffxlf4re	140	7	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	140	8	normally	normally	RB
work_srieqfzrnjgrrmg6vwffxlf4re	140	9	solvable	solvable	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	140	10	,	,	,
work_srieqfzrnjgrrmg6vwffxlf4re	140	11	there	there	EX
work_srieqfzrnjgrrmg6vwffxlf4re	140	12	is	be	VBZ
work_srieqfzrnjgrrmg6vwffxlf4re	140	13	a	a	DT
work_srieqfzrnjgrrmg6vwffxlf4re	140	14	simple	simple	JJ
work_srieqfzrnjgrrmg6vwffxlf4re	140	15	formula	formula	NN
work_srieqfzrnjgrrmg6vwffxlf4re	140	16	for	for	IN
work_srieqfzrnjgrrmg6vwffxlf4re	140	17	the	the	DT
work_srieqfzrnjgrrmg6vwffxlf4re	140	18	License	license	NN
work_srieqfzrnjgrrmg6vwffxlf4re	140	19	or	or	CC
work_srieqfzrnjgrrmg6vwffxlf4re	140	20	copyright	copyright	NN
work_srieqfzrnjgrrmg6vwffxlf4re	140	21	restrictions	restriction	NNS
work_srieqfzrnjgrrmg6vwffxlf4re	140	22	may	may	MD
work_srieqfzrnjgrrmg6vwffxlf4re	140	23	apply	apply	VB
work_srieqfzrnjgrrmg6vwffxlf4re	140	24	to	to	IN
work_srieqfzrnjgrrmg6vwffxlf4re	140	25	redistribution	redistribution	NN
work_srieqfzrnjgrrmg6vwffxlf4re	140	26	;	;	:
work_srieqfzrnjgrrmg6vwffxlf4re	140	27	see	see	VB
work_srieqfzrnjgrrmg6vwffxlf4re	140	28	https://www.ams.org/journal-terms-of-use	https://www.ams.org/journal-terms-of-use	NN