id sid tid token lemma pos 8k71ng47x9v 1 1 in in ADP 8k71ng47x9v 1 2 real real ADJ 8k71ng47x9v 1 3 euclidean euclidean ADJ 8k71ng47x9v 1 4 space space NOUN 8k71ng47x9v 1 5 , , PUNCT 8k71ng47x9v 1 6 polar polar ADJ 8k71ng47x9v 1 7 coordinates coordinate NOUN 8k71ng47x9v 1 8 allow allow VERB 8k71ng47x9v 1 9 mathematicians mathematician NOUN 8k71ng47x9v 1 10 to to PART 8k71ng47x9v 1 11 calculate calculate VERB 8k71ng47x9v 1 12 the the DET 8k71ng47x9v 1 13 norm norm NOUN 8k71ng47x9v 1 14 of of ADP 8k71ng47x9v 1 15 higher high ADJ 8k71ng47x9v 1 16 dimensional dimensional ADJ 8k71ng47x9v 1 17 so so ADV 8k71ng47x9v 1 18 - - PUNCT 8k71ng47x9v 1 19 invariant invariant ADJ 8k71ng47x9v 1 20 functions function NOUN 8k71ng47x9v 1 21 with with ADP 8k71ng47x9v 1 22 relative relative ADJ 8k71ng47x9v 1 23 ease ease NOUN 8k71ng47x9v 1 24 by by ADP 8k71ng47x9v 1 25 reducing reduce VERB 8k71ng47x9v 1 26 the the DET 8k71ng47x9v 1 27 problem problem NOUN 8k71ng47x9v 1 28 to to ADP 8k71ng47x9v 1 29 a a DET 8k71ng47x9v 1 30 1 1 NUM 8k71ng47x9v 1 31 - - PUNCT 8k71ng47x9v 1 32 dimensional dimensional ADJ 8k71ng47x9v 1 33 integral integral NOUN 8k71ng47x9v 1 34 . . PUNCT 8k71ng47x9v 2 1 in in ADP 8k71ng47x9v 2 2 this this DET 8k71ng47x9v 2 3 dissertation dissertation NOUN 8k71ng47x9v 2 4 i i PRON 8k71ng47x9v 2 5 look look VERB 8k71ng47x9v 2 6 at at ADP 8k71ng47x9v 2 7 the the DET 8k71ng47x9v 2 8 complex complex ADJ 8k71ng47x9v 2 9 segal segal ADJ 8k71ng47x9v 2 10 - - PUNCT 8k71ng47x9v 2 11 bargmann bargmann NOUN 8k71ng47x9v 2 12 space space NOUN 8k71ng47x9v 2 13 using use VERB 8k71ng47x9v 2 14 the the DET 8k71ng47x9v 2 15 c_t c_t PROPN 8k71ng47x9v 2 16 transform transform NOUN 8k71ng47x9v 2 17 . . PUNCT 8k71ng47x9v 3 1 i i PRON 8k71ng47x9v 3 2 find find VERB 8k71ng47x9v 3 3 there there PRON 8k71ng47x9v 3 4 is be VERB 8k71ng47x9v 3 5 a a DET 8k71ng47x9v 3 6 " " PUNCT 8k71ng47x9v 3 7 holomorphic holomorphic ADJ 8k71ng47x9v 3 8 " " PUNCT 8k71ng47x9v 3 9 version version NOUN 8k71ng47x9v 3 10 of of ADP 8k71ng47x9v 3 11 polar polar ADJ 8k71ng47x9v 3 12 coordinates coordinate NOUN 8k71ng47x9v 3 13 that that PRON 8k71ng47x9v 3 14 allows allow VERB 8k71ng47x9v 3 15 us we PRON 8k71ng47x9v 3 16 to to PART 8k71ng47x9v 3 17 do do VERB 8k71ng47x9v 3 18 the the DET 8k71ng47x9v 3 19 same same ADJ 8k71ng47x9v 3 20 in in ADP 8k71ng47x9v 3 21 the the DET 8k71ng47x9v 3 22 odd odd ADJ 8k71ng47x9v 3 23 dimensional dimensional ADJ 8k71ng47x9v 3 24 cases case NOUN 8k71ng47x9v 3 25 . . PUNCT 8k71ng47x9v 4 1 a a DET 8k71ng47x9v 4 2 geometric geometric ADJ 8k71ng47x9v 4 3 approach approach NOUN 8k71ng47x9v 4 4 for for ADP 8k71ng47x9v 4 5 this this PRON 8k71ng47x9v 4 6 was be AUX 8k71ng47x9v 4 7 done do VERB 8k71ng47x9v 4 8 by by ADP 8k71ng47x9v 4 9 areerak areerak PROPN 8k71ng47x9v 4 10 kaewthep kaewthep PROPN 8k71ng47x9v 4 11 and and CCONJ 8k71ng47x9v 4 12 wicharn wicharn VERB 8k71ng47x9v 4 13 lewkeeratiyutkul lewkeeratiyutkul NOUN 8k71ng47x9v 4 14 using use VERB 8k71ng47x9v 4 15 the the DET 8k71ng47x9v 4 16 b_t b_t PROPN 8k71ng47x9v 4 17 transform transform NOUN 8k71ng47x9v 4 18 in in ADP 8k71ng47x9v 4 19 [ [ X 8k71ng47x9v 4 20 9 9 NUM 8k71ng47x9v 4 21 ] ] PUNCT 8k71ng47x9v 4 22 , , PUNCT 8k71ng47x9v 4 23 but but CCONJ 8k71ng47x9v 4 24 this this DET 8k71ng47x9v 4 25 method method NOUN 8k71ng47x9v 4 26 is be AUX 8k71ng47x9v 4 27 not not PART 8k71ng47x9v 4 28 easily easily ADV 8k71ng47x9v 4 29 generalized generalize VERB 8k71ng47x9v 4 30 to to ADP 8k71ng47x9v 4 31 non non ADJ 8k71ng47x9v 4 32 - - ADJ 8k71ng47x9v 4 33 euclidean euclidean ADJ 8k71ng47x9v 4 34 spaces space NOUN 8k71ng47x9v 4 35 . . PUNCT 8k71ng47x9v 5 1 motived motive VERB 8k71ng47x9v 5 2 by by ADP 8k71ng47x9v 5 3 the the DET 8k71ng47x9v 5 4 works work NOUN 8k71ng47x9v 5 5 of of ADP 8k71ng47x9v 5 6 gestur gestur PROPN 8k71ng47x9v 5 7 olafsson olafsson PROPN 8k71ng47x9v 5 8 and and CCONJ 8k71ng47x9v 5 9 henrik henrik PROPN 8k71ng47x9v 5 10 schlichtkrull schlichtkrull VERB 8k71ng47x9v 5 11 in in ADP 8k71ng47x9v 5 12 [ [ X 8k71ng47x9v 5 13 10 10 NUM 8k71ng47x9v 5 14 ] ] PUNCT 8k71ng47x9v 5 15 , , PUNCT 8k71ng47x9v 5 16 i i PRON 8k71ng47x9v 5 17 use use VERB 8k71ng47x9v 5 18 shift shift NOUN 8k71ng47x9v 5 19 operators operator NOUN 8k71ng47x9v 5 20 to to PART 8k71ng47x9v 5 21 find find VERB 8k71ng47x9v 5 22 this this DET 8k71ng47x9v 5 23 " " PUNCT 8k71ng47x9v 5 24 holomorphic holomorphic ADJ 8k71ng47x9v 5 25 " " PUNCT 8k71ng47x9v 5 26 version version NOUN 8k71ng47x9v 5 27 of of ADP 8k71ng47x9v 5 28 polar polar ADJ 8k71ng47x9v 5 29 coordinates coordinate NOUN 8k71ng47x9v 5 30 in in ADP 8k71ng47x9v 5 31 c_t c_t SPACE 8k71ng47x9v 5 32 version version NOUN 8k71ng47x9v 5 33 of of ADP 8k71ng47x9v 5 34 the the DET 8k71ng47x9v 5 35 segal segal ADJ 8k71ng47x9v 5 36 - - PUNCT 8k71ng47x9v 5 37 bargmann bargmann NOUN 8k71ng47x9v 5 38 transform transform NOUN 8k71ng47x9v 5 39 . . PUNCT