id	sid	tid	token	lemma	pos
ejpam-3319	1	1	on	on	ADP
ejpam-3319	1	2	the	the	DET
ejpam-3319	1	3	bessel	bessel	ADJ
ejpam-3319	1	4	operator	operator	NOUN
ejpam-3319	1	5	$	$	SYM
ejpam-3319	1	6	odot	odot	NOUN
ejpam-3319	1	7	_	_	PUNCT
ejpam-3319	1	8	{	{	PUNCT
ejpam-3319	1	9	b}^{t}$	b}^{t}$	NOUN
ejpam-3319	1	10	related	relate	VERB
ejpam-3319	1	11	to	to	ADP
ejpam-3319	1	12	the	the	DET
ejpam-3319	1	13	bessel	bessel	NOUN
ejpam-3319	1	14	-	-	PUNCT
ejpam-3319	1	15	helmholtz	helmholtz	NOUN
ejpam-3319	1	16	and	and	CCONJ
ejpam-3319	1	17	bessel	bessel	ADJ
ejpam-3319	1	18	klein	klein	PROPN
ejpam-3319	1	19	-	-	PUNCT
ejpam-3319	1	20	gordon	gordon	PROPN
ejpam-3319	1	21	operator	operator	NOUN
ejpam-3319	1	22	european	european	PROPN
ejpam-3319	1	23	journal	journal	PROPN
ejpam-3319	1	24	of	of	ADP
ejpam-3319	1	25	pure	pure	ADJ
ejpam-3319	1	26	and	and	CCONJ
ejpam-3319	1	27	applied	apply	VERB
ejpam-3319	1	28	mathematics	mathematic	NOUN
ejpam-3319	1	29	vol	vol	NOUN
ejpam-3319	1	30	.	.	PUNCT
ejpam-3319	2	1	11	11	NUM
ejpam-3319	2	2	,	,	PUNCT
ejpam-3319	2	3	no	no	INTJ
ejpam-3319	2	4	.	.	NOUN
ejpam-3319	2	5	4	4	NUM
ejpam-3319	2	6	,	,	PUNCT
ejpam-3319	2	7	2018	2018	NUM
ejpam-3319	2	8	,	,	PUNCT
ejpam-3319	2	9	922	922	NUM
ejpam-3319	2	10	-	-	SYM
ejpam-3319	2	11	928	928	NUM
ejpam-3319	2	12	issn	issn	PROPN
ejpam-3319	2	13	1307	1307	NUM
ejpam-3319	2	14	-	-	SYM
ejpam-3319	2	15	5543	5543	NUM
ejpam-3319	2	16	–	–	PUNCT
ejpam-3319	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3319	2	18	published	publish	VERB
ejpam-3319	2	19	by	by	ADP
ejpam-3319	2	20	new	new	PROPN
ejpam-3319	2	21	york	york	PROPN
ejpam-3319	2	22	business	business	PROPN
ejpam-3319	2	23	global	global	PROPN
ejpam-3319	2	24	on	on	ADP
ejpam-3319	2	25	the	the	DET
ejpam-3319	2	26	bessel	bessel	ADJ
ejpam-3319	2	27	operator	operator	NOUN
ejpam-3319	2	28	�	�	NOUN
ejpam-3319	2	29	tb	tb	NOUN
ejpam-3319	2	30	related	relate	VERB
ejpam-3319	2	31	to	to	ADP
ejpam-3319	2	32	the	the	DET
ejpam-3319	2	33	bessel	bessel	NOUN
ejpam-3319	2	34	-	-	PUNCT
ejpam-3319	2	35	helmholtz	helmholtz	NOUN
ejpam-3319	2	36	and	and	CCONJ
ejpam-3319	2	37	bessel	bessel	ADJ
ejpam-3319	2	38	klein	klein	PROPN
ejpam-3319	2	39	-	-	PUNCT
ejpam-3319	2	40	gordon	gordon	PROPN
ejpam-3319	2	41	operator	operator	NOUN
ejpam-3319	2	42	sudprathai	sudprathai	PROPN
ejpam-3319	2	43	bupasiri	bupasiri	PROPN
ejpam-3319	2	44	department	department	PROPN
ejpam-3319	2	45	of	of	ADP
ejpam-3319	2	46	mathematics	mathematics	PROPN
ejpam-3319	2	47	,	,	PUNCT
ejpam-3319	2	48	sakon	sakon	PROPN
ejpam-3319	2	49	nakhon	nakhon	PROPN
ejpam-3319	2	50	rajabhat	rajabhat	PROPN
ejpam-3319	2	51	university	university	PROPN
ejpam-3319	2	52	,	,	PUNCT
ejpam-3319	2	53	sakon	sakon	PROPN
ejpam-3319	2	54	nakhon	nakhon	PROPN
ejpam-3319	2	55	47000	47000	NUM
ejpam-3319	2	56	,	,	PUNCT
ejpam-3319	2	57	thailand	thailand	PROPN
ejpam-3319	2	58	abstract	abstract	NOUN
ejpam-3319	2	59	.	.	PUNCT
ejpam-3319	3	1	in	in	ADP
ejpam-3319	3	2	this	this	DET
ejpam-3319	3	3	paper	paper	NOUN
ejpam-3319	3	4	,	,	PUNCT
ejpam-3319	3	5	we	we	PRON
ejpam-3319	3	6	study	study	VERB
ejpam-3319	3	7	the	the	DET
ejpam-3319	3	8	bessel	bessel	NOUN
ejpam-3319	3	9	operator	operator	NOUN
ejpam-3319	3	10	�	�	PROPN
ejpam-3319	3	11	t	t	PROPN
ejpam-3319	3	12	b	b	PROPN
ejpam-3319	3	13	,	,	PUNCT
ejpam-3319	3	14	iterated	iterate	VERB
ejpam-3319	3	15	t	t	PROPN
ejpam-3319	3	16	-	-	PUNCT
ejpam-3319	3	17	times	time	NOUN
ejpam-3319	3	18	and	and	CCONJ
ejpam-3319	3	19	denote	denote	VERB
ejpam-3319	3	20	by	by	ADP
ejpam-3319	3	21	�	�	PROPN
ejpam-3319	3	22	t	t	PROPN
ejpam-3319	3	23	b	b	PROPN
ejpam-3319	3	24	=	=	PRON
ejpam-3319	3	25	(	(	PUNCT
ejpam-3319	3	26	(	(	PUNCT
ejpam-3319	3	27	ba1	ba1	NOUN
ejpam-3319	3	28	+	+	CCONJ
ejpam-3319	3	29	·	·	PUNCT
ejpam-3319	3	30	·	·	PUNCT
ejpam-3319	3	31	·	·	PUNCT
ejpam-3319	4	1	+	+	ADJ
ejpam-3319	4	2	bap	bap	ADJ
ejpam-3319	4	3	+	+	ADJ
ejpam-3319	4	4	m2	m2	PROPN
ejpam-3319	4	5	)	)	PUNCT
ejpam-3319	4	6	2	2	NUM
ejpam-3319	4	7	−	−	NOUN
ejpam-3319	4	8	(	(	PUNCT
ejpam-3319	4	9	bap+1	bap+1	NOUN
ejpam-3319	4	10	+	+	X
ejpam-3319	4	11	·	·	PUNCT
ejpam-3319	4	12	·	·	PUNCT
ejpam-3319	4	13	·	·	PUNCT
ejpam-3319	4	14	+	+	NOUN
ejpam-3319	4	15	bap+q	bap+q	NUM
ejpam-3319	4	16	)	)	PUNCT
ejpam-3319	4	17	2)t	2)t	NUM
ejpam-3319	4	18	where	where	SCONJ
ejpam-3319	4	19	p+	p+	VERB
ejpam-3319	4	20	q	q	NOUN
ejpam-3319	4	21	=	=	SYM
ejpam-3319	4	22	n	n	CCONJ
ejpam-3319	4	23	,	,	PUNCT
ejpam-3319	4	24	bai	bai	PROPN
ejpam-3319	4	25	=	=	SYM
ejpam-3319	4	26	∂2	∂2	PROPN
ejpam-3319	4	27	∂a2	∂a2	VERB
ejpam-3319	4	28	i	i	PRON
ejpam-3319	5	1	+	+	CCONJ
ejpam-3319	5	2	2vi	2vi	ADJ
ejpam-3319	5	3	ai	ai	VERB
ejpam-3319	5	4	∂	∂	NOUN
ejpam-3319	5	5	∂ai	∂ai	PROPN
ejpam-3319	5	6	,	,	PUNCT
ejpam-3319	5	7	2vi	2vi	ADJ
ejpam-3319	5	8	=	=	X
ejpam-3319	6	1	2αi	2αi	NOUN
ejpam-3319	6	2	+	+	CCONJ
ejpam-3319	6	3	1	1	NUM
ejpam-3319	6	4	,	,	PUNCT
ejpam-3319	6	5	αi	αi	VERB
ejpam-3319	6	6	>	>	PUNCT
ejpam-3319	6	7	−	−	NUM
ejpam-3319	6	8	1	1	NUM
ejpam-3319	6	9	2	2	NUM
ejpam-3319	6	10	,	,	PUNCT
ejpam-3319	6	11	ai	ai	VERB
ejpam-3319	6	12	>	>	X
ejpam-3319	6	13	0	0	PROPN
ejpam-3319	6	14	,	,	PUNCT
ejpam-3319	6	15	t	t	PROPN
ejpam-3319	6	16	∈	∈	PROPN
ejpam-3319	6	17	z+	z+	NUM
ejpam-3319	6	18	∪	∪	X
ejpam-3319	6	19	{	{	PUNCT
ejpam-3319	6	20	0	0	NUM
ejpam-3319	6	21	}	}	PUNCT
ejpam-3319	6	22	,	,	PUNCT
ejpam-3319	6	23	m	m	PROPN
ejpam-3319	6	24	∈	∈	NOUN
ejpam-3319	6	25	r+	r+	NOUN
ejpam-3319	6	26	∪	∪	X
ejpam-3319	6	27	{	{	PUNCT
ejpam-3319	6	28	0	0	NUM
ejpam-3319	6	29	}	}	PUNCT
ejpam-3319	6	30	and	and	CCONJ
ejpam-3319	6	31	p+	p+	VERB
ejpam-3319	6	32	q	q	PROPN
ejpam-3319	6	33	=	=	SYM
ejpam-3319	6	34	n	n	X
ejpam-3319	6	35	is	be	AUX
ejpam-3319	6	36	the	the	DET
ejpam-3319	6	37	dimension	dimension	NOUN
ejpam-3319	6	38	of	of	ADP
ejpam-3319	6	39	r+	r+	NOUN
ejpam-3319	6	40	n	n	X
ejpam-3319	6	41	=	=	PUNCT
ejpam-3319	6	42	{	{	PUNCT
ejpam-3319	6	43	a	a	X
ejpam-3319	6	44	:	:	PUNCT
ejpam-3319	6	45	a	a	PRON
ejpam-3319	6	46	=	=	PUNCT
ejpam-3319	6	47	(	(	PUNCT
ejpam-3319	6	48	a1	a1	PROPN
ejpam-3319	6	49	,	,	PUNCT
ejpam-3319	6	50	.	.	PUNCT
ejpam-3319	6	51	.	.	PUNCT
ejpam-3319	7	1	.	.	PUNCT
ejpam-3319	8	1	,	,	PUNCT
ejpam-3319	8	2	an	an	X
ejpam-3319	8	3	)	)	PUNCT
ejpam-3319	8	4	,	,	PUNCT
ejpam-3319	8	5	a1	a1	VERB
ejpam-3319	8	6	>	>	X
ejpam-3319	8	7	0	0	NUM
ejpam-3319	8	8	,	,	PUNCT
ejpam-3319	8	9	.	.	PUNCT
ejpam-3319	8	10	.	.	PUNCT
ejpam-3319	9	1	.	.	PUNCT
ejpam-3319	10	1	,	,	PUNCT
ejpam-3319	10	2	an	an	DET
ejpam-3319	10	3	>	>	X
ejpam-3319	10	4	0	0	NUM
ejpam-3319	10	5	}	}	PUNCT
ejpam-3319	10	6	.	.	PUNCT
ejpam-3319	11	1	2010	2010	NUM
ejpam-3319	11	2	mathematics	mathematic	NOUN
ejpam-3319	11	3	subject	subject	NOUN
ejpam-3319	11	4	classifications	classification	NOUN
ejpam-3319	11	5	:	:	PUNCT
ejpam-3319	11	6	46f10	46f10	NUM
ejpam-3319	11	7	key	key	ADJ
ejpam-3319	11	8	words	word	NOUN
ejpam-3319	11	9	and	and	CCONJ
ejpam-3319	11	10	phrases	phrase	NOUN
ejpam-3319	11	11	:	:	PUNCT
ejpam-3319	11	12	bessel	bessel	ADJ
ejpam-3319	11	13	helmholtz	helmholtz	NOUN
ejpam-3319	11	14	operator	operator	NOUN
ejpam-3319	11	15	,	,	PUNCT
ejpam-3319	11	16	bessel	bessel	NOUN
ejpam-3319	11	17	klein	klein	PROPN
ejpam-3319	11	18	-	-	PUNCT
ejpam-3319	11	19	gordon	gordon	PROPN
ejpam-3319	11	20	operator	operator	NOUN
ejpam-3319	11	21	,	,	PUNCT
ejpam-3319	11	22	bessel	bessel	ADJ
ejpam-3319	11	23	diamond	diamond	NOUN
ejpam-3319	11	24	operator	operator	NOUN
ejpam-3319	11	25	1	1	NUM
ejpam-3319	11	26	.	.	PUNCT
ejpam-3319	12	1	introduction	introduction	PROPN
ejpam-3319	12	2	yildirim	yildirim	PROPN
ejpam-3319	12	3	,	,	PUNCT
ejpam-3319	12	4	sarikaya	sarikaya	NOUN
ejpam-3319	12	5	and	and	CCONJ
ejpam-3319	12	6	ozturk	ozturk	NOUN
ejpam-3319	13	1	[	[	X
ejpam-3319	13	2	7	7	X
ejpam-3319	13	3	]	]	PUNCT
ejpam-3319	13	4	have	have	AUX
ejpam-3319	13	5	showed	show	VERB
ejpam-3319	13	6	that	that	SCONJ
ejpam-3319	13	7	(	(	PUNCT
ejpam-3319	13	8	−1)ts2t(a)∗r2t(a	−1)ts2t(a)∗r2t(a	NOUN
ejpam-3319	13	9	)	)	PUNCT
ejpam-3319	13	10	is	be	AUX
ejpam-3319	13	11	the	the	DET
ejpam-3319	13	12	solution	solution	NOUN
ejpam-3319	13	13	of	of	ADP
ejpam-3319	13	14	the	the	DET
ejpam-3319	13	15	♦	♦	PROPN
ejpam-3319	13	16	tb	tb	PROPN
ejpam-3319	13	17	(	(	PUNCT
ejpam-3319	13	18	(	(	PUNCT
ejpam-3319	13	19	−1)ts2t(a	−1)ts2t(a	NOUN
ejpam-3319	13	20	)	)	PUNCT
ejpam-3319	13	21	∗r2t(a	∗r2t(a	NOUN
ejpam-3319	13	22	)	)	PUNCT
ejpam-3319	13	23	)	)	PUNCT
ejpam-3319	14	1	=	=	PUNCT
ejpam-3319	14	2	δ	δ	PROPN
ejpam-3319	14	3	,	,	PUNCT
ejpam-3319	14	4	where	where	SCONJ
ejpam-3319	14	5	♦	♦	PROPN
ejpam-3319	14	6	tb	tb	NOUN
ejpam-3319	14	7	=	=	PUNCT
ejpam-3319	14	8			PROPN
ejpam-3319	14	9	(	(	PUNCT
ejpam-3319	14	10	p∑	p∑	NOUN
ejpam-3319	14	11	i=1	i=1	PROPN
ejpam-3319	14	12	bai	bai	PROPN
ejpam-3319	14	13	)	)	PUNCT
ejpam-3319	14	14	2	2	NUM
ejpam-3319	14	15	−	−	PROPN
ejpam-3319	14	16			PROPN
ejpam-3319	14	17	p+q∑	p+q∑	PROPN
ejpam-3319	14	18	j	j	PROPN
ejpam-3319	14	19	=	=	PROPN
ejpam-3319	14	20	p+1	p+1	PROPN
ejpam-3319	14	21	baj	baj	PROPN
ejpam-3319	14	22	2t	2t	PROPN
ejpam-3319	14	23	.	.	PUNCT
ejpam-3319	15	1	(	(	PUNCT
ejpam-3319	15	2	1	1	X
ejpam-3319	15	3	)	)	PUNCT
ejpam-3319	15	4	here	here	ADV
ejpam-3319	15	5	p	p	X
ejpam-3319	15	6	+	+	NOUN
ejpam-3319	15	7	q	q	NOUN
ejpam-3319	15	8	=	=	SYM
ejpam-3319	15	9	n	n	CCONJ
ejpam-3319	15	10	,	,	PUNCT
ejpam-3319	15	11	bai	bai	PROPN
ejpam-3319	15	12	=	=	SYM
ejpam-3319	15	13	∂2	∂2	PROPN
ejpam-3319	15	14	∂a2i	∂a2i	PROPN
ejpam-3319	16	1	+	+	CCONJ
ejpam-3319	16	2	2vi	2vi	ADJ
ejpam-3319	16	3	ai	ai	VERB
ejpam-3319	16	4	∂	∂	NOUN
ejpam-3319	16	5	∂ai	∂ai	PROPN
ejpam-3319	16	6	,	,	PUNCT
ejpam-3319	16	7	2vi	2vi	ADJ
ejpam-3319	16	8	=	=	X
ejpam-3319	17	1	2αi	2αi	NOUN
ejpam-3319	17	2	+	+	CCONJ
ejpam-3319	17	3	1	1	NUM
ejpam-3319	17	4	,	,	PUNCT
ejpam-3319	17	5	αi	αi	VERB
ejpam-3319	17	6	>	>	X
ejpam-3319	17	7	−1	−1	NOUN
ejpam-3319	17	8	2	2	NUM
ejpam-3319	17	9	,	,	PUNCT
ejpam-3319	17	10	ai	ai	VERB
ejpam-3319	17	11	>	>	X
ejpam-3319	17	12	0	0	PROPN
ejpam-3319	17	13	,	,	PUNCT
ejpam-3319	17	14	i	i	PRON
ejpam-3319	17	15	=	=	NOUN
ejpam-3319	17	16	1	1	NUM
ejpam-3319	17	17	,	,	PUNCT
ejpam-3319	17	18	2	2	NUM
ejpam-3319	17	19	,	,	PUNCT
ejpam-3319	17	20	.	.	PUNCT
ejpam-3319	17	21	.	.	PUNCT
ejpam-3319	18	1	.	.	PUNCT
ejpam-3319	19	1	,	,	PUNCT
ejpam-3319	19	2	n	n	CCONJ
ejpam-3319	19	3	,	,	PUNCT
ejpam-3319	19	4	t	t	PROPN
ejpam-3319	19	5	∈	∈	PROPN
ejpam-3319	19	6	z+	z+	NUM
ejpam-3319	19	7	∪{0	∪{0	NOUN
ejpam-3319	19	8	}	}	PUNCT
ejpam-3319	19	9	and	and	CCONJ
ejpam-3319	19	10	n	n	PRON
ejpam-3319	19	11	is	be	AUX
ejpam-3319	19	12	the	the	DET
ejpam-3319	19	13	dimension	dimension	NOUN
ejpam-3319	19	14	of	of	ADP
ejpam-3319	19	15	the	the	DET
ejpam-3319	19	16	r+	r+	NOUN
ejpam-3319	19	17	n	n	X
ejpam-3319	19	18	=	=	PUNCT
ejpam-3319	19	19	{	{	PUNCT
ejpam-3319	19	20	a	a	X
ejpam-3319	19	21	:	:	PUNCT
ejpam-3319	19	22	a	a	PRON
ejpam-3319	19	23	=	=	PUNCT
ejpam-3319	19	24	(	(	PUNCT
ejpam-3319	19	25	a1	a1	PROPN
ejpam-3319	19	26	,	,	PUNCT
ejpam-3319	19	27	.	.	PUNCT
ejpam-3319	19	28	.	.	PUNCT
ejpam-3319	20	1	.	.	PUNCT
ejpam-3319	21	1	,	,	PUNCT
ejpam-3319	21	2	an	an	X
ejpam-3319	21	3	)	)	PUNCT
ejpam-3319	21	4	,	,	PUNCT
ejpam-3319	21	5	a1	a1	VERB
ejpam-3319	21	6	>	>	X
ejpam-3319	21	7	0	0	NUM
ejpam-3319	21	8	,	,	PUNCT
ejpam-3319	21	9	.	.	PUNCT
ejpam-3319	21	10	.	.	PUNCT
ejpam-3319	22	1	.	.	PUNCT
ejpam-3319	23	1	,	,	PUNCT
ejpam-3319	23	2	an	an	DET
ejpam-3319	23	3	>	>	X
ejpam-3319	23	4	0	0	NUM
ejpam-3319	23	5	}	}	PUNCT
ejpam-3319	23	6	.	.	PUNCT
ejpam-3319	24	1	otherwise	otherwise	ADV
ejpam-3319	24	2	,	,	PUNCT
ejpam-3319	24	3	the	the	DET
ejpam-3319	24	4	operator	operator	NOUN
ejpam-3319	24	5	♦	♦	PROPN
ejpam-3319	24	6	kb	kb	PROPN
ejpam-3319	24	7	can	can	AUX
ejpam-3319	24	8	also	also	ADV
ejpam-3319	24	9	be	be	AUX
ejpam-3319	24	10	expressed	express	VERB
ejpam-3319	24	11	in	in	ADP
ejpam-3319	24	12	the	the	DET
ejpam-3319	24	13	form	form	NOUN
ejpam-3319	24	14	♦	♦	PROPN
ejpam-3319	24	15	tb	tb	NOUN
ejpam-3319	24	16	=	=	PUNCT
ejpam-3319	24	17	�	�	PROPN
ejpam-3319	24	18	t	t	PROPN
ejpam-3319	24	19	b4	b4	PROPN
ejpam-3319	24	20	t	t	PROPN
ejpam-3319	24	21	b	b	PROPN
ejpam-3319	24	22	=	=	SYM
ejpam-3319	24	23	4	4	NUM
ejpam-3319	24	24	t	t	PROPN
ejpam-3319	24	25	b	b	PROPN
ejpam-3319	24	26	�	�	PROPN
ejpam-3319	24	27	t	t	PROPN
ejpam-3319	24	28	b	b	PROPN
ejpam-3319	24	29	,	,	PUNCT
ejpam-3319	24	30	where	where	SCONJ
ejpam-3319	24	31	�	�	PROPN
ejpam-3319	24	32	t	t	PROPN
ejpam-3319	24	33	b	b	PROPN
ejpam-3319	24	34	denote	denote	NOUN
ejpam-3319	24	35	by	by	ADP
ejpam-3319	24	36	�	�	PROPN
ejpam-3319	24	37	t	t	PROPN
ejpam-3319	24	38	b	b	PROPN
ejpam-3319	24	39	=	=	PRON
ejpam-3319	24	40	(	(	PUNCT
ejpam-3319	24	41	ba1	ba1	PROPN
ejpam-3319	25	1	+	+	PROPN
ejpam-3319	25	2	ba2	ba2	PROPN
ejpam-3319	25	3	+	+	X
ejpam-3319	25	4	·	·	PUNCT
ejpam-3319	25	5	·	·	PUNCT
ejpam-3319	25	6	·	·	PUNCT
ejpam-3319	25	7	+	+	ADJ
ejpam-3319	25	8	bap	bap	ADJ
ejpam-3319	25	9	−bap+1	−bap+1	NOUN
ejpam-3319	25	10	−bap+2	−bap+2	VERB
ejpam-3319	25	11	−	−	PROPN
ejpam-3319	25	12	·	·	PUNCT
ejpam-3319	25	13	·	·	PUNCT
ejpam-3319	25	14	·	·	PUNCT
ejpam-3319	26	1	−bap+q	−bap+q	NUM
ejpam-3319	26	2	)	)	PUNCT
ejpam-3319	26	3	t	t	NOUN
ejpam-3319	26	4	,	,	PUNCT
ejpam-3319	26	5	(	(	PUNCT
ejpam-3319	26	6	2	2	X
ejpam-3319	26	7	)	)	PUNCT
ejpam-3319	26	8	doi	doi	NOUN
ejpam-3319	26	9	:	:	PUNCT
ejpam-3319	26	10	https://doi.org/10.29020/nybg.ejpam.v11i4.3319	https://doi.org/10.29020/nybg.ejpam.v11i4.3319	PROPN
ejpam-3319	26	11	email	email	NOUN
ejpam-3319	26	12	addresses	address	VERB
ejpam-3319	26	13	:	:	PUNCT
ejpam-3319	26	14	sudprathai@gmail.com	sudprathai@gmail.com	X
ejpam-3319	26	15	(	(	PUNCT
ejpam-3319	26	16	s.	s.	PROPN
ejpam-3319	26	17	bupasiri	bupasiri	PROPN
ejpam-3319	26	18	)	)	PUNCT
ejpam-3319	26	19	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3319	27	1	922	922	NUM
ejpam-3319	27	2	c	c	NOUN
ejpam-3319	27	3	©	©	PROPN
ejpam-3319	27	4	2018	2018	NUM
ejpam-3319	27	5	ejpam	ejpam	VERB
ejpam-3319	27	6	all	all	DET
ejpam-3319	27	7	rights	right	NOUN
ejpam-3319	27	8	reserved	reserve	VERB
ejpam-3319	27	9	.	.	PUNCT
ejpam-3319	28	1	s.	s.	PROPN
ejpam-3319	28	2	bupasiri	bupasiri	PROPN
ejpam-3319	28	3	/	/	SYM
ejpam-3319	28	4	eur	eur	PROPN
ejpam-3319	28	5	.	.	PUNCT
ejpam-3319	29	1	j.	j.	PROPN
ejpam-3319	29	2	pure	pure	PROPN
ejpam-3319	29	3	appl	appl	PROPN
ejpam-3319	29	4	.	.	PROPN
ejpam-3319	29	5	math	math	PROPN
ejpam-3319	29	6	,	,	PUNCT
ejpam-3319	29	7	11	11	NUM
ejpam-3319	29	8	(	(	PUNCT
ejpam-3319	29	9	4	4	NUM
ejpam-3319	29	10	)	)	PUNCT
ejpam-3319	29	11	(	(	PUNCT
ejpam-3319	29	12	2018	2018	NUM
ejpam-3319	29	13	)	)	PUNCT
ejpam-3319	29	14	,	,	PUNCT
ejpam-3319	29	15	922	922	NUM
ejpam-3319	29	16	-	-	SYM
ejpam-3319	29	17	928	928	NUM
ejpam-3319	29	18	923	923	NUM
ejpam-3319	29	19	and	and	CCONJ
ejpam-3319	29	20	4	4	NUM
ejpam-3319	29	21	t	t	NOUN
ejpam-3319	29	22	b	b	NOUN
ejpam-3319	29	23	denote	denote	NOUN
ejpam-3319	29	24	by	by	ADP
ejpam-3319	29	25	4	4	NUM
ejpam-3319	29	26	t	t	NOUN
ejpam-3319	29	27	b	b	NOUN
ejpam-3319	29	28	=	=	SYM
ejpam-3319	29	29	(	(	PUNCT
ejpam-3319	29	30	ba1	ba1	PROPN
ejpam-3319	30	1	+	+	PROPN
ejpam-3319	30	2	ba2	ba2	PROPN
ejpam-3319	30	3	+	+	X
ejpam-3319	30	4	·	·	PUNCT
ejpam-3319	30	5	·	·	PUNCT
ejpam-3319	30	6	·	·	PUNCT
ejpam-3319	30	7	+	+	NOUN
ejpam-3319	30	8	ban)t	ban)t	NOUN
ejpam-3319	30	9	.	.	PUNCT
ejpam-3319	31	1	(	(	PUNCT
ejpam-3319	31	2	3	3	X
ejpam-3319	31	3	)	)	PUNCT
ejpam-3319	31	4	now	now	ADV
ejpam-3319	31	5	in	in	ADP
ejpam-3319	31	6	this	this	DET
ejpam-3319	31	7	paper	paper	NOUN
ejpam-3319	31	8	,	,	PUNCT
ejpam-3319	31	9	�	�	X
ejpam-3319	31	10	tb	tb	NOUN
ejpam-3319	31	11	=	=	PUNCT
ejpam-3319	31	12			PROPN
ejpam-3319	31	13	p∑	p∑	X
ejpam-3319	32	1	i=1	i=1	PROPN
ejpam-3319	32	2	bai	bai	PROPN
ejpam-3319	32	3	−	−	PROPN
ejpam-3319	32	4	p+q∑	p+q∑	PROPN
ejpam-3319	32	5	j	j	PROPN
ejpam-3319	32	6	=	=	PROPN
ejpam-3319	32	7	p+1	p+1	PROPN
ejpam-3319	32	8	baj	baj	PROPN
ejpam-3319	32	9	+m2	+m2	PROPN
ejpam-3319	32	10	t	t	PROPN
ejpam-3319	32	11	(	(	PUNCT
ejpam-3319	32	12	n∑	n∑	NOUN
ejpam-3319	32	13	i=1	i=1	PROPN
ejpam-3319	32	14	bai	bai	PROPN
ejpam-3319	33	1	+	+	NOUN
ejpam-3319	33	2	m2	m2	PROPN
ejpam-3319	33	3	)	)	PUNCT
ejpam-3319	33	4	t	t	PROPN
ejpam-3319	33	5	,	,	PUNCT
ejpam-3319	33	6	p+	p+	NOUN
ejpam-3319	33	7	q	q	NOUN
ejpam-3319	33	8	=	=	PUNCT
ejpam-3319	33	9	n.	n.	NOUN
ejpam-3319	33	10	(	(	PUNCT
ejpam-3319	33	11	4	4	NUM
ejpam-3319	33	12	)	)	PUNCT
ejpam-3319	33	13	thus	thus	ADV
ejpam-3319	33	14	�	�	X
ejpam-3319	33	15	tb	tb	NOUN
ejpam-3319	33	16	=	=	PUNCT
ejpam-3319	33	17	(	(	PUNCT
ejpam-3319	33	18	�	�	PROPN
ejpam-3319	33	19	b	b	NOUN
ejpam-3319	33	20	+	+	NOUN
ejpam-3319	33	21	m2	m2	PROPN
ejpam-3319	33	22	)	)	PUNCT
ejpam-3319	33	23	t	t	PROPN
ejpam-3319	33	24	(	(	PUNCT
ejpam-3319	33	25	4b	4b	PROPN
ejpam-3319	33	26	+	+	PROPN
ejpam-3319	33	27	m2	m2	PROPN
ejpam-3319	33	28	)	)	PUNCT
ejpam-3319	33	29	t	t	PROPN
ejpam-3319	33	30	=	=	SYM
ejpam-3319	33	31	(	(	PUNCT
ejpam-3319	33	32	4b	4b	X
ejpam-3319	33	33	+	+	NOUN
ejpam-3319	33	34	m2	m2	PROPN
ejpam-3319	33	35	)	)	PUNCT
ejpam-3319	33	36	t	t	PROPN
ejpam-3319	33	37	(	(	PUNCT
ejpam-3319	33	38	�	�	PROPN
ejpam-3319	33	39	b	b	PROPN
ejpam-3319	33	40	+	+	NOUN
ejpam-3319	33	41	m2	m2	PROPN
ejpam-3319	33	42	)	)	PUNCT
ejpam-3319	33	43	t	t	PROPN
ejpam-3319	33	44	,	,	PUNCT
ejpam-3319	33	45	(	(	PUNCT
ejpam-3319	33	46	5	5	NUM
ejpam-3319	33	47	)	)	PUNCT
ejpam-3319	33	48	where	where	SCONJ
ejpam-3319	33	49	(	(	PUNCT
ejpam-3319	33	50	4b	4b	PROPN
ejpam-3319	33	51	+	+	NOUN
ejpam-3319	33	52	m2	m2	PROPN
ejpam-3319	33	53	)	)	PUNCT
ejpam-3319	33	54	t	t	NOUN
ejpam-3319	33	55	=	=	SYM
ejpam-3319	33	56	(	(	PUNCT
ejpam-3319	33	57	ba1	ba1	PROPN
ejpam-3319	34	1	+	+	PROPN
ejpam-3319	34	2	ba2	ba2	PROPN
ejpam-3319	34	3	+	+	X
ejpam-3319	34	4	·	·	PUNCT
ejpam-3319	34	5	·	·	PUNCT
ejpam-3319	34	6	·	·	PUNCT
ejpam-3319	35	1	+	+	NOUN
ejpam-3319	35	2	ban	ban	NOUN
ejpam-3319	35	3	+	+	ADJ
ejpam-3319	35	4	m2	m2	PROPN
ejpam-3319	35	5	)	)	PUNCT
ejpam-3319	35	6	t	t	PROPN
ejpam-3319	35	7	(	(	PUNCT
ejpam-3319	35	8	6	6	NUM
ejpam-3319	35	9	)	)	PUNCT
ejpam-3319	35	10	and	and	CCONJ
ejpam-3319	35	11	(	(	PUNCT
ejpam-3319	35	12	�	�	PROPN
ejpam-3319	35	13	b	b	NOUN
ejpam-3319	35	14	+	+	NOUN
ejpam-3319	35	15	m2	m2	PROPN
ejpam-3319	35	16	)	)	PUNCT
ejpam-3319	35	17	t	t	NOUN
ejpam-3319	35	18	=	=	SYM
ejpam-3319	35	19	(	(	PUNCT
ejpam-3319	35	20	ba1	ba1	PROPN
ejpam-3319	36	1	+	+	PROPN
ejpam-3319	36	2	ba2	ba2	PROPN
ejpam-3319	36	3	+	+	X
ejpam-3319	36	4	·	·	PUNCT
ejpam-3319	36	5	·	·	PUNCT
ejpam-3319	36	6	·	·	PUNCT
ejpam-3319	36	7	+	+	ADJ
ejpam-3319	36	8	bap	bap	ADJ
ejpam-3319	36	9	−bap+1	−bap+1	X
ejpam-3319	36	10	−	−	PROPN
ejpam-3319	36	11	·	·	PUNCT
ejpam-3319	36	12	·	·	PUNCT
ejpam-3319	36	13	·	·	PUNCT
ejpam-3319	36	14	−bap+q	−bap+q	NUM
ejpam-3319	37	1	+	+	NOUN
ejpam-3319	37	2	m2	m2	PROPN
ejpam-3319	37	3	)	)	PUNCT
ejpam-3319	37	4	t	t	PROPN
ejpam-3319	37	5	(	(	PUNCT
ejpam-3319	37	6	7	7	NUM
ejpam-3319	37	7	)	)	PUNCT
ejpam-3319	37	8	and	and	CCONJ
ejpam-3319	37	9	from	from	ADP
ejpam-3319	37	10	(	(	PUNCT
ejpam-3319	37	11	4	4	NUM
ejpam-3319	37	12	)	)	PUNCT
ejpam-3319	37	13	with	with	ADP
ejpam-3319	37	14	q	q	PROPN
ejpam-3319	37	15	=	=	SYM
ejpam-3319	37	16	0	0	NUM
ejpam-3319	37	17	and	and	CCONJ
ejpam-3319	37	18	t	t	X
ejpam-3319	37	19	=	=	SYM
ejpam-3319	37	20	1	1	NUM
ejpam-3319	37	21	,	,	PUNCT
ejpam-3319	37	22	we	we	PRON
ejpam-3319	37	23	obtain	obtain	VERB
ejpam-3319	37	24	�	�	PROPN
ejpam-3319	37	25	b	b	NOUN
ejpam-3319	37	26	=	=	SYM
ejpam-3319	37	27	(	(	PUNCT
ejpam-3319	37	28	4b	4b	X
ejpam-3319	37	29	,	,	PUNCT
ejpam-3319	37	30	p	p	PROPN
ejpam-3319	37	31	+	+	PROPN
ejpam-3319	37	32	m2	m2	PROPN
ejpam-3319	37	33	)	)	PUNCT
ejpam-3319	37	34	2	2	NUM
ejpam-3319	37	35	,	,	PUNCT
ejpam-3319	37	36	where	where	SCONJ
ejpam-3319	37	37	(	(	PUNCT
ejpam-3319	37	38	4b	4b	X
ejpam-3319	37	39	,	,	PUNCT
ejpam-3319	37	40	p	p	PROPN
ejpam-3319	37	41	+	+	NOUN
ejpam-3319	37	42	m2	m2	X
ejpam-3319	37	43	)	)	PUNCT
ejpam-3319	37	44	=	=	PUNCT
ejpam-3319	38	1	(	(	PUNCT
ejpam-3319	38	2	ba1	ba1	PROPN
ejpam-3319	39	1	+	+	PROPN
ejpam-3319	39	2	ba2	ba2	PROPN
ejpam-3319	39	3	+	+	X
ejpam-3319	39	4	·	·	PUNCT
ejpam-3319	39	5	·	·	PUNCT
ejpam-3319	39	6	·	·	PUNCT
ejpam-3319	39	7	+	+	ADJ
ejpam-3319	39	8	bap	bap	ADJ
ejpam-3319	39	9	+	+	ADJ
ejpam-3319	39	10	m2	m2	PROPN
ejpam-3319	39	11	)	)	PUNCT
ejpam-3319	39	12	.	.	PUNCT
ejpam-3319	40	1	(	(	PUNCT
ejpam-3319	40	2	8)	8)	NUM
ejpam-3319	40	3	moreover	moreover	ADV
ejpam-3319	40	4	for	for	ADP
ejpam-3319	40	5	m	m	PROPN
ejpam-3319	40	6	=	=	SYM
ejpam-3319	40	7	0	0	NUM
ejpam-3319	40	8	,	,	PUNCT
ejpam-3319	40	9	then	then	ADV
ejpam-3319	40	10	we	we	PRON
ejpam-3319	40	11	obtain	obtain	VERB
ejpam-3319	40	12	bessel	bessel	ADJ
ejpam-3319	40	13	diamond	diamond	NOUN
ejpam-3319	40	14	operator	operator	NOUN
ejpam-3319	40	15	and	and	CCONJ
ejpam-3319	40	16	defined	define	VERB
ejpam-3319	40	17	by	by	ADP
ejpam-3319	40	18	(	(	PUNCT
ejpam-3319	40	19	1	1	NUM
ejpam-3319	40	20	)	)	PUNCT
ejpam-3319	40	21	.	.	PUNCT
ejpam-3319	41	1	2	2	X
ejpam-3319	41	2	.	.	X
ejpam-3319	41	3	preliminaries	preliminary	NOUN
ejpam-3319	41	4	denoted	denote	VERB
ejpam-3319	41	5	by	by	ADP
ejpam-3319	41	6	t	t	PROPN
ejpam-3319	41	7	ba	ba	PROPN
ejpam-3319	41	8	the	the	DET
ejpam-3319	41	9	generalized	generalize	VERB
ejpam-3319	41	10	shift	shift	NOUN
ejpam-3319	41	11	operator	operator	NOUN
ejpam-3319	41	12	acting	act	VERB
ejpam-3319	41	13	according	accord	VERB
ejpam-3319	41	14	to	to	ADP
ejpam-3319	41	15	the	the	DET
ejpam-3319	41	16	law	law	NOUN
ejpam-3319	41	17	[	[	X
ejpam-3319	41	18	2	2	NUM
ejpam-3319	41	19	]	]	PUNCT
ejpam-3319	41	20	t	t	PROPN
ejpam-3319	41	21	baϕ(a	baϕ(a	PROPN
ejpam-3319	41	22	)	)	PUNCT
ejpam-3319	41	23	=	=	PUNCT
ejpam-3319	41	24	c∗v	c∗v	PROPN
ejpam-3319	41	25	∫	∫	PROPN
ejpam-3319	41	26	π	π	PROPN
ejpam-3319	41	27	0	0	NUM
ejpam-3319	41	28	.	.	PUNCT
ejpam-3319	41	29	.	.	PUNCT
ejpam-3319	41	30	.	.	PUNCT
ejpam-3319	42	1	∫	∫	PROPN
ejpam-3319	43	1	π	π	PROPN
ejpam-3319	43	2	0	0	PUNCT
ejpam-3319	43	3	ϕ	ϕ	X
ejpam-3319	43	4	(	(	PUNCT
ejpam-3319	43	5	√	√	PROPN
ejpam-3319	43	6	a2	a2	PROPN
ejpam-3319	43	7	1	1	NUM
ejpam-3319	43	8	+	+	CCONJ
ejpam-3319	43	9	b21	b21	PROPN
ejpam-3319	43	10	−	−	PROPN
ejpam-3319	43	11	2a1b1	2a1b1	NUM
ejpam-3319	43	12	cos	cos	PROPN
ejpam-3319	43	13	θ1	θ1	NOUN
ejpam-3319	43	14	,	,	PUNCT
ejpam-3319	43	15	.	.	PUNCT
ejpam-3319	43	16	.	.	PUNCT
ejpam-3319	43	17	.	.	PUNCT
ejpam-3319	44	1	,	,	PUNCT
ejpam-3319	44	2	√	√	NUM
ejpam-3319	44	3	a2	a2	PROPN
ejpam-3319	44	4	n	n	PROPN
ejpam-3319	44	5	+	+	CCONJ
ejpam-3319	44	6	b2n	b2n	NUM
ejpam-3319	44	7	−	−	PROPN
ejpam-3319	44	8	2anbn	2anbn	NUM
ejpam-3319	44	9	cos	cos	PROPN
ejpam-3319	44	10	θn	θn	PROPN
ejpam-3319	44	11	)	)	PUNCT
ejpam-3319	44	12	×	×	NOUN
ejpam-3319	44	13	(	(	PUNCT
ejpam-3319	44	14	πn	πn	INTJ
ejpam-3319	44	15	i=1	i=1	PROPN
ejpam-3319	44	16	sin2vi−1	sin2vi−1	PROPN
ejpam-3319	44	17	)	)	PUNCT
ejpam-3319	44	18	dθ1	dθ1	PROPN
ejpam-3319	44	19	.	.	PUNCT
ejpam-3319	44	20	.	.	PUNCT
ejpam-3319	44	21	.	.	PUNCT
ejpam-3319	45	1	dθn	dθn	NOUN
ejpam-3319	45	2	,	,	PUNCT
ejpam-3319	45	3	where	where	SCONJ
ejpam-3319	45	4	a	a	DET
ejpam-3319	45	5	,	,	PUNCT
ejpam-3319	45	6	b	b	PROPN
ejpam-3319	45	7	∈	∈	PROPN
ejpam-3319	45	8	r+	r+	PUNCT
ejpam-3319	45	9	n	n	X
ejpam-3319	45	10	,	,	PUNCT
ejpam-3319	46	1	c	c	NOUN
ejpam-3319	46	2	∗	∗	X
ejpam-3319	46	3	v	v	NOUN
ejpam-3319	46	4	=	=	SYM
ejpam-3319	46	5	πn	πn	INTJ
ejpam-3319	46	6	i=1	i=1	PRON
ejpam-3319	46	7	γ(vi+1	γ(vi+1	NOUN
ejpam-3319	46	8	)	)	PUNCT
ejpam-3319	47	1	γ	γ	X
ejpam-3319	47	2	(	(	PUNCT
ejpam-3319	47	3	1	1	NUM
ejpam-3319	47	4	2)γ(vi	2)γ(vi	NUM
ejpam-3319	47	5	)	)	PUNCT
ejpam-3319	47	6	.	.	PUNCT
ejpam-3319	48	1	we	we	PRON
ejpam-3319	48	2	remark	remark	VERB
ejpam-3319	48	3	that	that	SCONJ
ejpam-3319	48	4	this	this	DET
ejpam-3319	48	5	shift	shift	NOUN
ejpam-3319	48	6	operator	operator	NOUN
ejpam-3319	48	7	is	be	AUX
ejpam-3319	48	8	closely	closely	ADV
ejpam-3319	48	9	connected	connect	VERB
ejpam-3319	48	10	with	with	ADP
ejpam-3319	48	11	the	the	DET
ejpam-3319	48	12	bessel	bessel	ADJ
ejpam-3319	48	13	differential	differential	NOUN
ejpam-3319	48	14	operator	operator	NOUN
ejpam-3319	48	15	[	[	X
ejpam-3319	48	16	2	2	NUM
ejpam-3319	48	17	]	]	PUNCT
ejpam-3319	48	18	.	.	PUNCT
ejpam-3319	49	1	d2u	d2u	ADV
ejpam-3319	49	2	da2	da2	PROPN
ejpam-3319	49	3	+	+	CCONJ
ejpam-3319	49	4	2v	2v	PROPN
ejpam-3319	49	5	a	a	DET
ejpam-3319	49	6	du	du	X
ejpam-3319	49	7	da	da	X
ejpam-3319	49	8	=	=	PUNCT
ejpam-3319	49	9	d2u	d2u	ADV
ejpam-3319	49	10	db2	db2	PROPN
ejpam-3319	49	11	+	+	CCONJ
ejpam-3319	49	12	2v	2v	PROPN
ejpam-3319	49	13	b	b	X
ejpam-3319	49	14	du	du	PROPN
ejpam-3319	49	15	db	db	PROPN
ejpam-3319	49	16	u(a	u(a	PROPN
ejpam-3319	49	17	,	,	PUNCT
ejpam-3319	49	18	0	0	NUM
ejpam-3319	49	19	)	)	PUNCT
ejpam-3319	49	20	=	=	SYM
ejpam-3319	49	21	f(a	f(a	PROPN
ejpam-3319	49	22	)	)	PUNCT
ejpam-3319	49	23	,	,	PUNCT
ejpam-3319	49	24	ub(a	ub(a	NOUN
ejpam-3319	49	25	,	,	PUNCT
ejpam-3319	49	26	0	0	NUM
ejpam-3319	49	27	)	)	PUNCT
ejpam-3319	49	28	=	=	SYM
ejpam-3319	49	29	0	0	X
ejpam-3319	49	30	.	.	PUNCT
ejpam-3319	50	1	the	the	DET
ejpam-3319	50	2	convolution	convolution	NOUN
ejpam-3319	50	3	operator	operator	NOUN
ejpam-3319	50	4	determined	determine	VERB
ejpam-3319	50	5	by	by	ADP
ejpam-3319	50	6	t	t	PROPN
ejpam-3319	50	7	ba	ba	PROPN
ejpam-3319	50	8	is	be	AUX
ejpam-3319	50	9	as	as	ADV
ejpam-3319	50	10	follow	follow	VERB
ejpam-3319	50	11	:	:	PUNCT
ejpam-3319	50	12	(	(	PUNCT
ejpam-3319	50	13	f	f	PROPN
ejpam-3319	50	14	∗	∗	X
ejpam-3319	50	15	ϕ	ϕ	NOUN
ejpam-3319	50	16	)	)	PUNCT
ejpam-3319	51	1	=	=	SYM
ejpam-3319	51	2	∫	∫	PROPN
ejpam-3319	51	3	r+	r+	NOUN
ejpam-3319	51	4	n	n	X
ejpam-3319	51	5	f(b)t	f(b)t	PROPN
ejpam-3319	51	6	baϕ(a	baϕ(a	PROPN
ejpam-3319	51	7	)	)	PUNCT
ejpam-3319	51	8	(	(	PUNCT
ejpam-3319	51	9	πn	πn	INTJ
ejpam-3319	51	10	i=1b	i=1b	NOUN
ejpam-3319	51	11	2vi	2vi	PROPN
ejpam-3319	52	1	i	i	PRON
ejpam-3319	52	2	)	)	PUNCT
ejpam-3319	53	1	db	db	PROPN
ejpam-3319	53	2	.	.	PUNCT
ejpam-3319	54	1	(	(	PUNCT
ejpam-3319	54	2	9	9	X
ejpam-3319	54	3	)	)	PUNCT
ejpam-3319	54	4	convolution	convolution	NOUN
ejpam-3319	54	5	(	(	PUNCT
ejpam-3319	54	6	9	9	NUM
ejpam-3319	54	7	)	)	PUNCT
ejpam-3319	54	8	is	be	AUX
ejpam-3319	54	9	known	know	VERB
ejpam-3319	54	10	as	as	ADP
ejpam-3319	54	11	a	a	DET
ejpam-3319	54	12	b	b	NOUN
ejpam-3319	54	13	-	-	PUNCT
ejpam-3319	54	14	convolution	convolution	NOUN
ejpam-3319	54	15	.	.	PUNCT
ejpam-3319	55	1	we	we	PRON
ejpam-3319	55	2	note	note	VERB
ejpam-3319	55	3	the	the	DET
ejpam-3319	55	4	following	follow	VERB
ejpam-3319	55	5	properties	property	NOUN
ejpam-3319	55	6	for	for	ADP
ejpam-3319	55	7	the	the	DET
ejpam-3319	55	8	b	b	NOUN
ejpam-3319	55	9	-	-	PUNCT
ejpam-3319	55	10	convolution	convolution	NOUN
ejpam-3319	55	11	and	and	CCONJ
ejpam-3319	55	12	the	the	DET
ejpam-3319	55	13	generalized	generalized	ADJ
ejpam-3319	55	14	shift	shift	NOUN
ejpam-3319	55	15	operator	operator	NOUN
ejpam-3319	55	16	:	:	PUNCT
ejpam-3319	55	17	s.	s.	PROPN
ejpam-3319	55	18	bupasiri	bupasiri	PROPN
ejpam-3319	55	19	/	/	SYM
ejpam-3319	55	20	eur	eur	PROPN
ejpam-3319	55	21	.	.	PUNCT
ejpam-3319	56	1	j.	j.	PROPN
ejpam-3319	56	2	pure	pure	PROPN
ejpam-3319	56	3	appl	appl	PROPN
ejpam-3319	56	4	.	.	PROPN
ejpam-3319	56	5	math	math	PROPN
ejpam-3319	56	6	,	,	PUNCT
ejpam-3319	56	7	11	11	NUM
ejpam-3319	56	8	(	(	PUNCT
ejpam-3319	56	9	4	4	NUM
ejpam-3319	56	10	)	)	PUNCT
ejpam-3319	56	11	(	(	PUNCT
ejpam-3319	56	12	2018	2018	NUM
ejpam-3319	56	13	)	)	PUNCT
ejpam-3319	56	14	,	,	PUNCT
ejpam-3319	57	1	922	922	NUM
ejpam-3319	57	2	-	-	SYM
ejpam-3319	57	3	928	928	NUM
ejpam-3319	57	4	924	924	NUM
ejpam-3319	57	5	(	(	PUNCT
ejpam-3319	57	6	a	a	NOUN
ejpam-3319	57	7	)	)	PUNCT
ejpam-3319	57	8	t	t	PROPN
ejpam-3319	57	9	ba	ba	PROPN
ejpam-3319	57	10	·	·	PUNCT
ejpam-3319	57	11	1	1	NUM
ejpam-3319	57	12	=	=	SYM
ejpam-3319	57	13	1	1	X
ejpam-3319	57	14	.	.	PUNCT
ejpam-3319	57	15	(	(	PUNCT
ejpam-3319	57	16	b	b	X
ejpam-3319	57	17	)	)	PUNCT
ejpam-3319	57	18	t	t	NOUN
ejpam-3319	57	19	0	0	NUM
ejpam-3319	57	20	a	a	DET
ejpam-3319	57	21	·	·	PUNCT
ejpam-3319	57	22	f(a	f(a	NOUN
ejpam-3319	57	23	)	)	PUNCT
ejpam-3319	57	24	=	=	SYM
ejpam-3319	57	25	f(a	f(a	PROPN
ejpam-3319	57	26	)	)	PUNCT
ejpam-3319	57	27	.	.	PUNCT
ejpam-3319	58	1	(	(	PUNCT
ejpam-3319	58	2	c	c	X
ejpam-3319	58	3	)	)	PUNCT
ejpam-3319	58	4	if	if	SCONJ
ejpam-3319	58	5	f(a	f(a	PROPN
ejpam-3319	58	6	)	)	PUNCT
ejpam-3319	58	7	,	,	PUNCT
ejpam-3319	58	8	g(a	g(a	PROPN
ejpam-3319	58	9	)	)	PUNCT
ejpam-3319	58	10	∈	∈	PROPN
ejpam-3319	58	11	c(r+	c(r+	NOUN
ejpam-3319	58	12	n	n	CCONJ
ejpam-3319	58	13	)	)	PUNCT
ejpam-3319	58	14	,	,	PUNCT
ejpam-3319	58	15	g(a	g(a	PROPN
ejpam-3319	58	16	)	)	PUNCT
ejpam-3319	58	17	is	be	AUX
ejpam-3319	58	18	a	a	DET
ejpam-3319	58	19	bounded	bounded	ADJ
ejpam-3319	58	20	function	function	NOUN
ejpam-3319	58	21	,	,	PUNCT
ejpam-3319	58	22	a	a	DET
ejpam-3319	58	23	>	>	X
ejpam-3319	58	24	0	0	NUM
ejpam-3319	58	25	and∫	and∫	PROPN
ejpam-3319	58	26	∞	∞	PROPN
ejpam-3319	58	27	0	0	NUM
ejpam-3319	59	1	|f(a)|	|f(a)|	NOUN
ejpam-3319	59	2	(	(	PUNCT
ejpam-3319	59	3	πn	πn	INTJ
ejpam-3319	59	4	i=1a	i=1a	NOUN
ejpam-3319	59	5	2vi	2vi	PROPN
ejpam-3319	59	6	i	i	NOUN
ejpam-3319	59	7	)	)	PUNCT
ejpam-3319	60	1	da	da	X
ejpam-3319	61	1	<	<	X
ejpam-3319	61	2	∞	∞	PROPN
ejpam-3319	61	3	,	,	PUNCT
ejpam-3319	61	4	then	then	ADV
ejpam-3319	61	5	∫	∫	PROPN
ejpam-3319	61	6	r+	r+	PUNCT
ejpam-3319	61	7	n	n	PROPN
ejpam-3319	61	8	t	t	NOUN
ejpam-3319	61	9	baf(a)g(b	baf(a)g(b	X
ejpam-3319	61	10	)	)	PUNCT
ejpam-3319	61	11	(	(	PUNCT
ejpam-3319	61	12	πn	πn	INTJ
ejpam-3319	61	13	i=1b	i=1b	NOUN
ejpam-3319	61	14	2vi	2vi	PROPN
ejpam-3319	61	15	i	i	NOUN
ejpam-3319	61	16	)	)	PUNCT
ejpam-3319	62	1	db	db	PROPN
ejpam-3319	62	2	=	=	SYM
ejpam-3319	62	3	∫	∫	PROPN
ejpam-3319	62	4	r+	r+	NOUN
ejpam-3319	62	5	n	n	X
ejpam-3319	62	6	f(b)t	f(b)t	PROPN
ejpam-3319	62	7	bag(a	bag(a	PROPN
ejpam-3319	62	8	)	)	PUNCT
ejpam-3319	62	9	(	(	PUNCT
ejpam-3319	62	10	πn	πn	INTJ
ejpam-3319	62	11	i=1b	i=1b	NOUN
ejpam-3319	62	12	2vi	2vi	PROPN
ejpam-3319	63	1	i	i	PRON
ejpam-3319	63	2	)	)	PUNCT
ejpam-3319	64	1	db	db	PROPN
ejpam-3319	64	2	.	.	PUNCT
ejpam-3319	65	1	(	(	PUNCT
ejpam-3319	65	2	d	d	X
ejpam-3319	65	3	)	)	PUNCT
ejpam-3319	65	4	from	from	ADP
ejpam-3319	65	5	(	(	PUNCT
ejpam-3319	65	6	c	c	NOUN
ejpam-3319	65	7	)	)	PUNCT
ejpam-3319	65	8	,	,	PUNCT
ejpam-3319	65	9	we	we	PRON
ejpam-3319	65	10	have	have	VERB
ejpam-3319	65	11	the	the	DET
ejpam-3319	65	12	following	follow	VERB
ejpam-3319	65	13	equality	equality	NOUN
ejpam-3319	65	14	for	for	ADP
ejpam-3319	65	15	g(a	g(a	PROPN
ejpam-3319	65	16	)	)	PUNCT
ejpam-3319	66	1	=	=	SYM
ejpam-3319	66	2	1,∫	1,∫	NOUN
ejpam-3319	66	3	r+	r+	NOUN
ejpam-3319	66	4	n	n	PROPN
ejpam-3319	66	5	t	t	NOUN
ejpam-3319	66	6	baf(a	baf(a	PROPN
ejpam-3319	66	7	)	)	PUNCT
ejpam-3319	66	8	(	(	PUNCT
ejpam-3319	66	9	πn	πn	INTJ
ejpam-3319	66	10	i=1b	i=1b	NOUN
ejpam-3319	66	11	2vi	2vi	PROPN
ejpam-3319	66	12	i	i	NOUN
ejpam-3319	66	13	)	)	PUNCT
ejpam-3319	67	1	db	db	PROPN
ejpam-3319	67	2	=	=	SYM
ejpam-3319	67	3	∫	∫	PROPN
ejpam-3319	67	4	r+	r+	NOUN
ejpam-3319	67	5	n	n	X
ejpam-3319	67	6	f(b	f(b	PROPN
ejpam-3319	67	7	)	)	PUNCT
ejpam-3319	67	8	(	(	PUNCT
ejpam-3319	67	9	πn	πn	INTJ
ejpam-3319	67	10	i=1b	i=1b	NOUN
ejpam-3319	67	11	2vi	2vi	PROPN
ejpam-3319	67	12	i	i	NOUN
ejpam-3319	67	13	)	)	PUNCT
ejpam-3319	68	1	db	db	PROPN
ejpam-3319	68	2	(	(	PUNCT
ejpam-3319	68	3	e	e	NOUN
ejpam-3319	68	4	)	)	PUNCT
ejpam-3319	68	5	(	(	PUNCT
ejpam-3319	68	6	f	f	PROPN
ejpam-3319	68	7	∗	∗	X
ejpam-3319	68	8	g)(a	g)(a	PROPN
ejpam-3319	68	9	)	)	PUNCT
ejpam-3319	69	1	=	=	PUNCT
ejpam-3319	69	2	(	(	PUNCT
ejpam-3319	69	3	g	g	NOUN
ejpam-3319	69	4	∗	∗	NOUN
ejpam-3319	69	5	f)(a	f)(a	NUM
ejpam-3319	69	6	)	)	PUNCT
ejpam-3319	69	7	.	.	PUNCT
ejpam-3319	70	1	definition	definition	NOUN
ejpam-3319	70	2	1	1	NUM
ejpam-3319	70	3	.	.	PUNCT
ejpam-3319	71	1	(	(	PUNCT
ejpam-3319	71	2	[	[	X
ejpam-3319	71	3	6	6	NUM
ejpam-3319	71	4	]	]	SYM
ejpam-3319	71	5	)	)	PUNCT
ejpam-3319	71	6	a	a	DET
ejpam-3319	71	7	distribution	distribution	NOUN
ejpam-3319	71	8	e	e	NOUN
ejpam-3319	71	9	is	be	AUX
ejpam-3319	71	10	said	say	VERB
ejpam-3319	71	11	to	to	PART
ejpam-3319	71	12	be	be	AUX
ejpam-3319	71	13	a	a	DET
ejpam-3319	71	14	fundamental	fundamental	ADJ
ejpam-3319	71	15	solution	solution	NOUN
ejpam-3319	71	16	or	or	CCONJ
ejpam-3319	71	17	an	an	DET
ejpam-3319	71	18	elementary	elementary	ADJ
ejpam-3319	71	19	solution	solution	NOUN
ejpam-3319	71	20	for	for	ADP
ejpam-3319	71	21	the	the	DET
ejpam-3319	71	22	differential	differential	ADJ
ejpam-3319	71	23	operator	operator	NOUN
ejpam-3319	71	24	l	l	NOUN
ejpam-3319	71	25	if	if	SCONJ
ejpam-3319	71	26	le	le	PROPN
ejpam-3319	71	27	=	=	SYM
ejpam-3319	71	28	δ	δ	PROPN
ejpam-3319	71	29	,	,	PUNCT
ejpam-3319	71	30	where	where	SCONJ
ejpam-3319	71	31	δ	δ	PROPN
ejpam-3319	71	32	is	be	AUX
ejpam-3319	71	33	dirac	dirac	NOUN
ejpam-3319	71	34	-	-	PUNCT
ejpam-3319	71	35	delta	delta	NOUN
ejpam-3319	71	36	distribution	distribution	NOUN
ejpam-3319	71	37	.	.	PUNCT
ejpam-3319	72	1	let	let	AUX
ejpam-3319	72	2	l(d	l(d	ADJ
ejpam-3319	72	3	)	)	PUNCT
ejpam-3319	72	4	be	be	AUX
ejpam-3319	72	5	a	a	DET
ejpam-3319	72	6	differential	differential	ADJ
ejpam-3319	72	7	operator	operator	NOUN
ejpam-3319	72	8	with	with	ADP
ejpam-3319	72	9	constant	constant	ADJ
ejpam-3319	72	10	coefficients	coefficient	NOUN
ejpam-3319	72	11	.	.	PUNCT
ejpam-3319	73	1	we	we	PRON
ejpam-3319	73	2	say	say	VERB
ejpam-3319	73	3	that	that	SCONJ
ejpam-3319	73	4	a	a	DET
ejpam-3319	73	5	distribution	distribution	NOUN
ejpam-3319	73	6	e	e	X
ejpam-3319	73	7	∈	∈	PROPN
ejpam-3319	73	8	d′(rn	d′(rn	PROPN
ejpam-3319	73	9	)	)	PUNCT
ejpam-3319	73	10	is	be	AUX
ejpam-3319	73	11	a	a	DET
ejpam-3319	73	12	fundamental	fundamental	ADJ
ejpam-3319	73	13	solution	solution	NOUN
ejpam-3319	73	14	or	or	CCONJ
ejpam-3319	73	15	the	the	DET
ejpam-3319	73	16	elementary	elementary	ADJ
ejpam-3319	73	17	solution	solution	NOUN
ejpam-3319	73	18	of	of	ADP
ejpam-3319	73	19	the	the	DET
ejpam-3319	73	20	differential	differential	ADJ
ejpam-3319	73	21	operator	operator	NOUN
ejpam-3319	73	22	l(d	l(d	PROPN
ejpam-3319	73	23	)	)	PUNCT
ejpam-3319	73	24	if	if	SCONJ
ejpam-3319	73	25	e	e	NOUN
ejpam-3319	73	26	satisfies	satisfy	VERB
ejpam-3319	73	27	l(d)e	l(d)e	PROPN
ejpam-3319	73	28	=	=	SYM
ejpam-3319	73	29	δ	δ	PROPN
ejpam-3319	73	30	in	in	ADP
ejpam-3319	73	31	d′(rn	d′(rn	PROPN
ejpam-3319	73	32	)	)	PUNCT
ejpam-3319	73	33	.	.	PUNCT
ejpam-3319	74	1	lemma	lemma	PROPN
ejpam-3319	74	2	1	1	X
ejpam-3319	74	3	.	.	PUNCT
ejpam-3319	75	1	if	if	SCONJ
ejpam-3319	75	2	�	�	PROPN
ejpam-3319	75	3	t	t	PROPN
ejpam-3319	75	4	bu(a	bu(a	PUNCT
ejpam-3319	75	5	)	)	PUNCT
ejpam-3319	75	6	=	=	SYM
ejpam-3319	75	7	δ	δ	PROPN
ejpam-3319	75	8	for	for	ADP
ejpam-3319	75	9	a	a	DET
ejpam-3319	75	10	∈	∈	NOUN
ejpam-3319	75	11	γ+	γ+	PUNCT
ejpam-3319	75	12	=	=	PUNCT
ejpam-3319	75	13	{	{	PUNCT
ejpam-3319	75	14	a	a	DET
ejpam-3319	75	15	∈	∈	PROPN
ejpam-3319	75	16	rn	rn	NOUN
ejpam-3319	75	17	:	:	PUNCT
ejpam-3319	75	18	a1	a1	VERB
ejpam-3319	75	19	>	>	X
ejpam-3319	75	20	0	0	PROPN
ejpam-3319	75	21	,	,	PUNCT
ejpam-3319	75	22	a2	a2	PROPN
ejpam-3319	75	23	>	>	X
ejpam-3319	75	24	0	0	NUM
ejpam-3319	75	25	,	,	PUNCT
ejpam-3319	75	26	.	.	PUNCT
ejpam-3319	75	27	.	.	PUNCT
ejpam-3319	76	1	.	.	PUNCT
ejpam-3319	77	1	,	,	PUNCT
ejpam-3319	77	2	an	an	DET
ejpam-3319	77	3	>	>	X
ejpam-3319	77	4	0	0	NUM
ejpam-3319	77	5	and	and	CCONJ
ejpam-3319	77	6	u	u	X
ejpam-3319	77	7	>	>	X
ejpam-3319	77	8	0	0	NUM
ejpam-3319	77	9	}	}	PUNCT
ejpam-3319	77	10	,	,	PUNCT
ejpam-3319	77	11	where	where	SCONJ
ejpam-3319	77	12	�	�	PROPN
ejpam-3319	77	13	t	t	PROPN
ejpam-3319	77	14	b	b	PROPN
ejpam-3319	77	15	is	be	AUX
ejpam-3319	77	16	the	the	DET
ejpam-3319	77	17	bessel	bessel	ADJ
ejpam-3319	77	18	ultra	ultra	ADJ
ejpam-3319	77	19	-	-	ADJ
ejpam-3319	77	20	hyperbolic	hyperbolic	ADJ
ejpam-3319	77	21	operator	operator	NOUN
ejpam-3319	77	22	iterated	iterate	VERB
ejpam-3319	77	23	t	t	PROPN
ejpam-3319	77	24	-	-	PUNCT
ejpam-3319	77	25	times	time	NOUN
ejpam-3319	77	26	defined	define	VERB
ejpam-3319	77	27	by	by	ADP
ejpam-3319	77	28	(	(	PUNCT
ejpam-3319	77	29	2	2	NUM
ejpam-3319	77	30	)	)	PUNCT
ejpam-3319	77	31	.	.	PUNCT
ejpam-3319	78	1	then	then	ADV
ejpam-3319	78	2	u(a	u(a	PROPN
ejpam-3319	78	3	)	)	PUNCT
ejpam-3319	78	4	=	=	SYM
ejpam-3319	78	5	r2t(a	r2t(a	PROPN
ejpam-3319	78	6	)	)	PUNCT
ejpam-3319	78	7	is	be	AUX
ejpam-3319	78	8	the	the	DET
ejpam-3319	78	9	unique	unique	ADJ
ejpam-3319	78	10	elementary	elementary	ADJ
ejpam-3319	78	11	solution	solution	NOUN
ejpam-3319	78	12	of	of	ADP
ejpam-3319	78	13	the	the	DET
ejpam-3319	78	14	operator	operator	NOUN
ejpam-3319	78	15	�	�	PROPN
ejpam-3319	78	16	t	t	PROPN
ejpam-3319	78	17	b	b	PROPN
ejpam-3319	78	18	where	where	SCONJ
ejpam-3319	78	19	r2t(a	r2t(a	NOUN
ejpam-3319	78	20	)	)	PUNCT
ejpam-3319	79	1	=	=	SYM
ejpam-3319	79	2	u	u	NOUN
ejpam-3319	79	3	(	(	PUNCT
ejpam-3319	79	4	2t−n−2|v|	2t−n−2|v|	NUM
ejpam-3319	79	5	2	2	NUM
ejpam-3319	79	6	)	)	PUNCT
ejpam-3319	79	7	yn(2	yn(2	PROPN
ejpam-3319	79	8	t	t	PROPN
ejpam-3319	79	9	)	)	PUNCT
ejpam-3319	79	10	=	=	PUNCT
ejpam-3319	79	11	(	(	PUNCT
ejpam-3319	79	12	∑p	∑p	ADJ
ejpam-3319	79	13	i=1	i=1	PROPN
ejpam-3319	79	14	a	a	DET
ejpam-3319	79	15	2	2	NUM
ejpam-3319	79	16	i	i	PRON
ejpam-3319	79	17	−	−	VERB
ejpam-3319	79	18	∑p+q	∑p+q	NOUN
ejpam-3319	79	19	j	j	X
ejpam-3319	80	1	=	=	VERB
ejpam-3319	80	2	p+1	p+1	X
ejpam-3319	80	3	a	a	DET
ejpam-3319	80	4	2	2	NUM
ejpam-3319	80	5	j	j	NOUN
ejpam-3319	80	6	)	)	PUNCT
ejpam-3319	80	7	(	(	PUNCT
ejpam-3319	80	8	2t−n−2|v|	2t−n−2|v|	NUM
ejpam-3319	80	9	2	2	NUM
ejpam-3319	80	10	)	)	PUNCT
ejpam-3319	80	11	yn(2	yn(2	PROPN
ejpam-3319	80	12	t	t	PROPN
ejpam-3319	80	13	)	)	PUNCT
ejpam-3319	80	14	(	(	PUNCT
ejpam-3319	80	15	10	10	NUM
ejpam-3319	80	16	)	)	PUNCT
ejpam-3319	80	17	for	for	ADP
ejpam-3319	80	18	yn(2	yn(2	PROPN
ejpam-3319	80	19	t	t	PROPN
ejpam-3319	80	20	)	)	PUNCT
ejpam-3319	80	21	=	=	PUNCT
ejpam-3319	81	1	π	π	NOUN
ejpam-3319	81	2	n+2|v|−1	n+2|v|−1	VERB
ejpam-3319	81	3	2	2	NUM
ejpam-3319	81	4	γ	γ	X
ejpam-3319	81	5	(	(	PUNCT
ejpam-3319	81	6	2	2	NUM
ejpam-3319	81	7	+	+	NOUN
ejpam-3319	81	8	2t−n−2|v|	2t−n−2|v|	NUM
ejpam-3319	81	9	2	2	NUM
ejpam-3319	81	10	)	)	PUNCT
ejpam-3319	81	11	γ	γ	X
ejpam-3319	81	12	(	(	PUNCT
ejpam-3319	81	13	1−2	1−2	NUM
ejpam-3319	81	14	t	t	PROPN
ejpam-3319	81	15	2	2	NUM
ejpam-3319	81	16	)	)	PUNCT
ejpam-3319	81	17	γ(2	γ(2	PROPN
ejpam-3319	81	18	t	t	PROPN
ejpam-3319	81	19	)	)	PUNCT
ejpam-3319	81	20	γ	γ	X
ejpam-3319	81	21	(	(	PUNCT
ejpam-3319	81	22	2	2	NUM
ejpam-3319	81	23	+	+	NOUN
ejpam-3319	81	24	2t−p−2|v|	2t−p−2|v|	NUM
ejpam-3319	81	25	2	2	NUM
ejpam-3319	81	26	)	)	PUNCT
ejpam-3319	81	27	γ(p−2	γ(p−2	VERB
ejpam-3319	81	28	t	t	NOUN
ejpam-3319	81	29	2	2	NUM
ejpam-3319	81	30	)	)	PUNCT
ejpam-3319	81	31	,	,	PUNCT
ejpam-3319	81	32	|v|	|v|	PROPN
ejpam-3319	81	33	=	=	SYM
ejpam-3319	81	34	n∑	n∑	PROPN
ejpam-3319	81	35	i=1	i=1	PROPN
ejpam-3319	81	36	vi	vi	PROPN
ejpam-3319	81	37	.	.	PUNCT
ejpam-3319	82	1	(	(	PUNCT
ejpam-3319	82	2	11	11	NUM
ejpam-3319	82	3	)	)	PUNCT
ejpam-3319	82	4	lemma	lemma	PROPN
ejpam-3319	82	5	2	2	NUM
ejpam-3319	82	6	.	.	PUNCT
ejpam-3319	82	7	given	give	VERB
ejpam-3319	82	8	the	the	DET
ejpam-3319	82	9	equation	equation	NOUN
ejpam-3319	82	10	4	4	NUM
ejpam-3319	82	11	t	t	NOUN
ejpam-3319	82	12	bu(a	bu(a	PUNCT
ejpam-3319	82	13	)	)	PUNCT
ejpam-3319	82	14	=	=	SYM
ejpam-3319	82	15	δ	δ	PROPN
ejpam-3319	82	16	for	for	ADP
ejpam-3319	82	17	a	a	DET
ejpam-3319	82	18	∈	∈	PROPN
ejpam-3319	82	19	r+	r+	NOUN
ejpam-3319	82	20	n	n	PRON
ejpam-3319	82	21	,	,	PUNCT
ejpam-3319	82	22	where	where	SCONJ
ejpam-3319	82	23	4	4	NUM
ejpam-3319	82	24	t	t	NOUN
ejpam-3319	82	25	b	b	NOUN
ejpam-3319	82	26	is	be	AUX
ejpam-3319	82	27	the	the	DET
ejpam-3319	82	28	laplace	laplace	NOUN
ejpam-3319	82	29	-	-	PUNCT
ejpam-3319	82	30	bessel	bessel	NOUN
ejpam-3319	82	31	operator	operator	NOUN
ejpam-3319	82	32	iterated	iterate	VERB
ejpam-3319	82	33	t	t	PROPN
ejpam-3319	82	34	-	-	PUNCT
ejpam-3319	82	35	times	time	NOUN
ejpam-3319	82	36	defined	define	VERB
ejpam-3319	82	37	by	by	ADP
ejpam-3319	82	38	(	(	PUNCT
ejpam-3319	82	39	3	3	NUM
ejpam-3319	82	40	)	)	PUNCT
ejpam-3319	82	41	.	.	PUNCT
ejpam-3319	83	1	then	then	ADV
ejpam-3319	83	2	u(a	u(a	PROPN
ejpam-3319	83	3	)	)	PUNCT
ejpam-3319	83	4	=	=	PRON
ejpam-3319	83	5	(	(	PUNCT
ejpam-3319	83	6	−1)ts2t(a	−1)ts2t(a	NOUN
ejpam-3319	83	7	)	)	PUNCT
ejpam-3319	83	8	is	be	AUX
ejpam-3319	83	9	an	an	DET
ejpam-3319	83	10	elementary	elementary	ADJ
ejpam-3319	83	11	solution	solution	NOUN
ejpam-3319	83	12	of	of	ADP
ejpam-3319	83	13	the	the	DET
ejpam-3319	83	14	operator	operator	NOUN
ejpam-3319	83	15	4	4	NUM
ejpam-3319	83	16	t	t	NOUN
ejpam-3319	83	17	b	b	NUM
ejpam-3319	83	18	where	where	SCONJ
ejpam-3319	83	19	s2t(a	s2t(a	PROPN
ejpam-3319	83	20	)	)	PUNCT
ejpam-3319	83	21	=	=	PUNCT
ejpam-3319	83	22	|a|2t−n−2|v|	|a|2t−n−2|v|	VERB
ejpam-3319	83	23	zn(2	zn(2	NOUN
ejpam-3319	83	24	t	t	NOUN
ejpam-3319	83	25	)	)	PUNCT
ejpam-3319	83	26	(	(	PUNCT
ejpam-3319	83	27	12	12	NUM
ejpam-3319	83	28	)	)	PUNCT
ejpam-3319	83	29	for	for	ADP
ejpam-3319	83	30	zn(2	zn(2	NOUN
ejpam-3319	83	31	t	t	NOUN
ejpam-3319	83	32	)	)	PUNCT
ejpam-3319	83	33	=	=	PUNCT
ejpam-3319	84	1	πn	πn	PUNCT
ejpam-3319	84	2	i=12vi−	i=12vi−	NOUN
ejpam-3319	84	3	1	1	NUM
ejpam-3319	84	4	2	2	NUM
ejpam-3319	84	5	γ	γ	X
ejpam-3319	84	6	(	(	PUNCT
ejpam-3319	84	7	vi	vi	PROPN
ejpam-3319	84	8	+	+	CCONJ
ejpam-3319	84	9	1	1	NUM
ejpam-3319	84	10	2	2	NUM
ejpam-3319	84	11	)	)	PUNCT
ejpam-3319	84	12	γ(t	γ(t	NOUN
ejpam-3319	84	13	)	)	PUNCT
ejpam-3319	84	14	2n+2|v|−4tγ	2n+2|v|−4tγ	NUM
ejpam-3319	85	1	(	(	PUNCT
ejpam-3319	85	2	n+2|v|−2	n+2|v|−2	NOUN
ejpam-3319	85	3	t	t	PROPN
ejpam-3319	85	4	2	2	NUM
ejpam-3319	85	5	)	)	PUNCT
ejpam-3319	85	6	.	.	PUNCT
ejpam-3319	86	1	s.	s.	PROPN
ejpam-3319	86	2	bupasiri	bupasiri	PROPN
ejpam-3319	86	3	/	/	SYM
ejpam-3319	86	4	eur	eur	PROPN
ejpam-3319	86	5	.	.	PUNCT
ejpam-3319	87	1	j.	j.	PROPN
ejpam-3319	87	2	pure	pure	PROPN
ejpam-3319	87	3	appl	appl	PROPN
ejpam-3319	87	4	.	.	PROPN
ejpam-3319	87	5	math	math	PROPN
ejpam-3319	87	6	,	,	PUNCT
ejpam-3319	87	7	11	11	NUM
ejpam-3319	87	8	(	(	PUNCT
ejpam-3319	87	9	4	4	NUM
ejpam-3319	87	10	)	)	PUNCT
ejpam-3319	87	11	(	(	PUNCT
ejpam-3319	87	12	2018	2018	NUM
ejpam-3319	87	13	)	)	PUNCT
ejpam-3319	87	14	,	,	PUNCT
ejpam-3319	87	15	922	922	NUM
ejpam-3319	87	16	-	-	SYM
ejpam-3319	87	17	928	928	NUM
ejpam-3319	87	18	925	925	NUM
ejpam-3319	87	19	proof	proof	NOUN
ejpam-3319	87	20	.	.	PUNCT
ejpam-3319	88	1	the	the	DET
ejpam-3319	88	2	proofs	proof	NOUN
ejpam-3319	88	3	of	of	ADP
ejpam-3319	88	4	lemma	lemma	PROPN
ejpam-3319	88	5	1	1	NUM
ejpam-3319	88	6	and	and	CCONJ
ejpam-3319	88	7	lemma	lemma	PROPN
ejpam-3319	88	8	2	2	NUM
ejpam-3319	88	9	are	be	AUX
ejpam-3319	88	10	given	give	VERB
ejpam-3319	88	11	in	in	ADP
ejpam-3319	88	12	[	[	X
ejpam-3319	88	13	7	7	NUM
ejpam-3319	88	14	]	]	PUNCT
ejpam-3319	88	15	.	.	PUNCT
ejpam-3319	89	1	lemma	lemma	PROPN
ejpam-3319	89	2	3	3	X
ejpam-3319	89	3	.	.	PUNCT
ejpam-3319	89	4	given	give	VERB
ejpam-3319	89	5	the	the	DET
ejpam-3319	89	6	equation	equation	NOUN
ejpam-3319	89	7	(	(	PUNCT
ejpam-3319	89	8	�	�	PROPN
ejpam-3319	89	9	b	b	NOUN
ejpam-3319	89	10	+	+	NOUN
ejpam-3319	89	11	m2	m2	PROPN
ejpam-3319	89	12	)	)	PUNCT
ejpam-3319	89	13	t	t	PROPN
ejpam-3319	89	14	u(a	u(a	PROPN
ejpam-3319	89	15	)	)	PUNCT
ejpam-3319	89	16	=	=	SYM
ejpam-3319	89	17	δ	δ	PROPN
ejpam-3319	89	18	for	for	ADP
ejpam-3319	89	19	a	a	DET
ejpam-3319	89	20	∈	∈	PROPN
ejpam-3319	89	21	r+	r+	NOUN
ejpam-3319	89	22	n	n	X
ejpam-3319	89	23	,	,	PUNCT
ejpam-3319	89	24	where	where	SCONJ
ejpam-3319	89	25	(	(	PUNCT
ejpam-3319	89	26	�	�	PROPN
ejpam-3319	89	27	b	b	NOUN
ejpam-3319	89	28	+	+	NOUN
ejpam-3319	89	29	m2	m2	PROPN
ejpam-3319	89	30	)	)	PUNCT
ejpam-3319	89	31	t	t	PROPN
ejpam-3319	89	32	is	be	AUX
ejpam-3319	89	33	the	the	DET
ejpam-3319	89	34	bessel	bessel	ADJ
ejpam-3319	89	35	klein	klein	PROPN
ejpam-3319	89	36	-	-	PUNCT
ejpam-3319	89	37	gordon	gordon	PROPN
ejpam-3319	89	38	operator	operator	NOUN
ejpam-3319	89	39	iterated	iterate	VERB
ejpam-3319	89	40	t	t	PROPN
ejpam-3319	89	41	-	-	PUNCT
ejpam-3319	89	42	times	time	NOUN
ejpam-3319	89	43	defined	define	VERB
ejpam-3319	89	44	by	by	ADP
ejpam-3319	89	45	equation	equation	NOUN
ejpam-3319	89	46	(	(	PUNCT
ejpam-3319	89	47	7	7	NUM
ejpam-3319	89	48	)	)	PUNCT
ejpam-3319	89	49	,	,	PUNCT
ejpam-3319	89	50	δ	δ	PROPN
ejpam-3319	89	51	is	be	AUX
ejpam-3319	89	52	the	the	DET
ejpam-3319	89	53	dirac	dirac	NOUN
ejpam-3319	89	54	-	-	PUNCT
ejpam-3319	89	55	delta	delta	NOUN
ejpam-3319	89	56	distribution	distribution	NOUN
ejpam-3319	89	57	,	,	PUNCT
ejpam-3319	89	58	a	a	DET
ejpam-3319	89	59	∈	∈	NOUN
ejpam-3319	89	60	r+	r+	NOUN
ejpam-3319	89	61	n	n	CCONJ
ejpam-3319	89	62	and	and	CCONJ
ejpam-3319	89	63	t	t	PROPN
ejpam-3319	89	64	∈	∈	PROPN
ejpam-3319	89	65	z+	z+	NUM
ejpam-3319	89	66	∪	∪	X
ejpam-3319	89	67	{	{	PUNCT
ejpam-3319	89	68	0	0	NUM
ejpam-3319	89	69	}	}	PUNCT
ejpam-3319	89	70	,	,	PUNCT
ejpam-3319	89	71	then	then	ADV
ejpam-3319	89	72	u(a	u(a	PROPN
ejpam-3319	89	73	)	)	PUNCT
ejpam-3319	90	1	=	=	SYM
ejpam-3319	90	2	fb,2t(a	fb,2t(a	PROPN
ejpam-3319	90	3	,	,	PUNCT
ejpam-3319	90	4	m	m	PROPN
ejpam-3319	90	5	)	)	PUNCT
ejpam-3319	90	6	,	,	PUNCT
ejpam-3319	90	7	where	where	SCONJ
ejpam-3319	90	8	fb,2t(a	fb,2t(a	PROPN
ejpam-3319	90	9	,	,	PUNCT
ejpam-3319	90	10	m	m	NOUN
ejpam-3319	90	11	)	)	PUNCT
ejpam-3319	90	12	=	=	PUNCT
ejpam-3319	91	1	∞∑	∞∑	NUM
ejpam-3319	91	2	r=0	r=0	PROPN
ejpam-3319	91	3	(	(	PUNCT
ejpam-3319	91	4	−t	−t	NOUN
ejpam-3319	91	5	r	r	NOUN
ejpam-3319	91	6	)	)	PUNCT
ejpam-3319	91	7	m2rr2t+2r(a	m2rr2t+2r(a	X
ejpam-3319	91	8	)	)	PUNCT
ejpam-3319	91	9	,	,	PUNCT
ejpam-3319	91	10	(	(	PUNCT
ejpam-3319	91	11	13	13	X
ejpam-3319	91	12	)	)	PUNCT
ejpam-3319	91	13	r2t(a	r2t(a	PROPN
ejpam-3319	91	14	)	)	PUNCT
ejpam-3319	91	15	is	be	AUX
ejpam-3319	91	16	defined	define	VERB
ejpam-3319	91	17	by	by	ADP
ejpam-3319	91	18	(	(	PUNCT
ejpam-3319	91	19	10	10	NUM
ejpam-3319	91	20	)	)	PUNCT
ejpam-3319	91	21	.	.	PUNCT
ejpam-3319	92	1	proof	proof	NOUN
ejpam-3319	92	2	.	.	PUNCT
ejpam-3319	93	1	see	see	VERB
ejpam-3319	93	2	[	[	X
ejpam-3319	93	3	5	5	NUM
ejpam-3319	93	4	]	]	PUNCT
ejpam-3319	93	5	.	.	PUNCT
ejpam-3319	94	1	lemma	lemma	PROPN
ejpam-3319	94	2	4	4	X
ejpam-3319	94	3	.	.	PUNCT
ejpam-3319	95	1	let	let	VERB
ejpam-3319	95	2	�	�	PROPN
ejpam-3319	95	3	b	b	PROPN
ejpam-3319	95	4	be	be	AUX
ejpam-3319	95	5	the	the	DET
ejpam-3319	95	6	bessel	bessel	ADJ
ejpam-3319	95	7	ultra	ultra	ADJ
ejpam-3319	95	8	-	-	ADJ
ejpam-3319	95	9	hyperbolic	hyperbolic	ADJ
ejpam-3319	95	10	operator	operator	NOUN
ejpam-3319	95	11	,	,	PUNCT
ejpam-3319	95	12	defined	define	VERB
ejpam-3319	95	13	by	by	ADP
ejpam-3319	95	14	(	(	PUNCT
ejpam-3319	95	15	2	2	NUM
ejpam-3319	95	16	)	)	PUNCT
ejpam-3319	95	17	and	and	CCONJ
ejpam-3319	95	18	δ	δ	PROPN
ejpam-3319	95	19	is	be	AUX
ejpam-3319	95	20	the	the	DET
ejpam-3319	95	21	dirac	dirac	NOUN
ejpam-3319	95	22	delta	delta	NOUN
ejpam-3319	95	23	distribution	distribution	NOUN
ejpam-3319	95	24	for	for	ADP
ejpam-3319	95	25	a	a	DET
ejpam-3319	95	26	∈	∈	PROPN
ejpam-3319	95	27	r+	r+	NOUN
ejpam-3319	95	28	n	n	X
ejpam-3319	95	29	,	,	PUNCT
ejpam-3319	95	30	then	then	ADV
ejpam-3319	95	31	(	(	PUNCT
ejpam-3319	95	32	�	�	PROPN
ejpam-3319	95	33	b	b	PROPN
ejpam-3319	95	34	+	+	NOUN
ejpam-3319	95	35	m2	m2	PROPN
ejpam-3319	95	36	)	)	PUNCT
ejpam-3319	95	37	t	t	PROPN
ejpam-3319	95	38	δ	δ	PROPN
ejpam-3319	96	1	=	=	SYM
ejpam-3319	96	2	fb,−2t(a	fb,−2t(a	PROPN
ejpam-3319	96	3	,	,	PUNCT
ejpam-3319	96	4	m	m	NOUN
ejpam-3319	96	5	)	)	PUNCT
ejpam-3319	96	6	,	,	PUNCT
ejpam-3319	96	7	where	where	SCONJ
ejpam-3319	96	8	fb,−2t(a	fb,−2t(a	PROPN
ejpam-3319	96	9	,	,	PUNCT
ejpam-3319	96	10	m	m	PRON
ejpam-3319	96	11	)	)	PUNCT
ejpam-3319	96	12	is	be	AUX
ejpam-3319	96	13	the	the	DET
ejpam-3319	96	14	inverse	inverse	NOUN
ejpam-3319	96	15	of	of	ADP
ejpam-3319	96	16	fb,2t(a	fb,2t(a	PROPN
ejpam-3319	96	17	,	,	PUNCT
ejpam-3319	96	18	m	m	NOUN
ejpam-3319	96	19	)	)	PUNCT
ejpam-3319	96	20	in	in	ADP
ejpam-3319	96	21	the	the	DET
ejpam-3319	96	22	convolution	convolution	NOUN
ejpam-3319	96	23	algebra	algebra	NOUN
ejpam-3319	96	24	.	.	PUNCT
ejpam-3319	97	1	proof	proof	NOUN
ejpam-3319	97	2	.	.	PUNCT
ejpam-3319	98	1	let	let	VERB
ejpam-3319	98	2	d(a	d(a	PROPN
ejpam-3319	98	3	)	)	PUNCT
ejpam-3319	98	4	=	=	PRON
ejpam-3319	98	5	(	(	PUNCT
ejpam-3319	98	6	�	�	PROPN
ejpam-3319	98	7	b	b	NOUN
ejpam-3319	98	8	+	+	NOUN
ejpam-3319	98	9	m2	m2	PROPN
ejpam-3319	98	10	)	)	PUNCT
ejpam-3319	98	11	t	t	PROPN
ejpam-3319	98	12	δ	δ	PROPN
ejpam-3319	98	13	,	,	PUNCT
ejpam-3319	98	14	convolving	convolve	VERB
ejpam-3319	98	15	both	both	DET
ejpam-3319	98	16	sides	side	NOUN
ejpam-3319	98	17	by	by	ADP
ejpam-3319	98	18	fb,2t(a	fb,2t(a	PROPN
ejpam-3319	98	19	,	,	PUNCT
ejpam-3319	98	20	m	m	PROPN
ejpam-3319	98	21	)	)	PUNCT
ejpam-3319	98	22	,	,	PUNCT
ejpam-3319	98	23	then	then	ADV
ejpam-3319	98	24	fb,2t(a	fb,2t(a	PROPN
ejpam-3319	98	25	,	,	PUNCT
ejpam-3319	98	26	m	m	NOUN
ejpam-3319	98	27	)	)	PUNCT
ejpam-3319	98	28	∗d(a	∗d(a	PROPN
ejpam-3319	98	29	)	)	PUNCT
ejpam-3319	98	30	=	=	PUNCT
ejpam-3319	99	1	fb,2t(a	fb,2t(a	PROPN
ejpam-3319	99	2	,	,	PUNCT
ejpam-3319	99	3	m	m	NOUN
ejpam-3319	99	4	)	)	PUNCT
ejpam-3319	99	5	∗	∗	NOUN
ejpam-3319	99	6	(	(	PUNCT
ejpam-3319	99	7	�	�	PROPN
ejpam-3319	99	8	b	b	PROPN
ejpam-3319	99	9	+	+	NOUN
ejpam-3319	99	10	m2	m2	PROPN
ejpam-3319	99	11	)	)	PUNCT
ejpam-3319	99	12	t	t	PROPN
ejpam-3319	99	13	δ	δ	PROPN
ejpam-3319	99	14	=	=	PRON
ejpam-3319	99	15	(	(	PUNCT
ejpam-3319	99	16	�	�	PROPN
ejpam-3319	99	17	b	b	NOUN
ejpam-3319	99	18	+	+	NOUN
ejpam-3319	99	19	m2	m2	PROPN
ejpam-3319	99	20	)	)	PUNCT
ejpam-3319	99	21	t	t	PROPN
ejpam-3319	99	22	fb,2t(a	fb,2t(a	PROPN
ejpam-3319	99	23	,	,	PUNCT
ejpam-3319	99	24	m	m	NOUN
ejpam-3319	99	25	)	)	PUNCT
ejpam-3319	99	26	∗	∗	NOUN
ejpam-3319	99	27	δ	δ	PROPN
ejpam-3319	99	28	=	=	SYM
ejpam-3319	99	29	δ	δ	PROPN
ejpam-3319	99	30	.	.	PUNCT
ejpam-3319	100	1	(	(	PUNCT
ejpam-3319	100	2	14	14	NUM
ejpam-3319	100	3	)	)	PUNCT
ejpam-3319	100	4	since	since	SCONJ
ejpam-3319	100	5	fb,2t(a	fb,2t(a	PROPN
ejpam-3319	100	6	,	,	PUNCT
ejpam-3319	100	7	m	m	VERB
ejpam-3319	100	8	)	)	PUNCT
ejpam-3319	100	9	is	be	AUX
ejpam-3319	100	10	lie	lie	NOUN
ejpam-3319	100	11	in	in	ADP
ejpam-3319	100	12	s′	s′	NOUN
ejpam-3319	100	13	,	,	PUNCT
ejpam-3319	100	14	where	where	SCONJ
ejpam-3319	100	15	s′	s′	ADJ
ejpam-3319	100	16	is	be	AUX
ejpam-3319	100	17	a	a	DET
ejpam-3319	100	18	space	space	NOUN
ejpam-3319	100	19	of	of	ADP
ejpam-3319	100	20	tempered	temper	VERB
ejpam-3319	100	21	distribution	distribution	NOUN
ejpam-3319	100	22	,	,	PUNCT
ejpam-3319	100	23	choose	choose	VERB
ejpam-3319	100	24	s′	s′	ADJ
ejpam-3319	100	25	⊂	⊂	PROPN
ejpam-3319	100	26	d′r	d′r	NOUN
ejpam-3319	100	27	,	,	PUNCT
ejpam-3319	100	28	where	where	SCONJ
ejpam-3319	100	29	d′r	d′r	NOUN
ejpam-3319	100	30	is	be	AUX
ejpam-3319	100	31	the	the	DET
ejpam-3319	100	32	right	right	ADJ
ejpam-3319	100	33	-	-	PUNCT
ejpam-3319	100	34	side	side	NOUN
ejpam-3319	100	35	distribution	distribution	NOUN
ejpam-3319	100	36	which	which	PRON
ejpam-3319	100	37	is	be	AUX
ejpam-3319	100	38	a	a	DET
ejpam-3319	100	39	subspace	subspace	NOUN
ejpam-3319	100	40	of	of	ADP
ejpam-3319	100	41	d′	d′	PRON
ejpam-3319	100	42	of	of	ADP
ejpam-3319	100	43	distribution	distribution	NOUN
ejpam-3319	100	44	.	.	PUNCT
ejpam-3319	101	1	thus	thus	ADV
ejpam-3319	101	2	fb,2t(a	fb,2t(a	PROPN
ejpam-3319	101	3	,	,	PUNCT
ejpam-3319	101	4	m	m	NOUN
ejpam-3319	101	5	)	)	PUNCT
ejpam-3319	101	6	∈	∈	PROPN
ejpam-3319	101	7	d′r	d′r	NOUN
ejpam-3319	101	8	,	,	PUNCT
ejpam-3319	101	9	it	it	PRON
ejpam-3319	101	10	follow	follow	VERB
ejpam-3319	101	11	that	that	SCONJ
ejpam-3319	101	12	fb,2t(a	fb,2t(a	PROPN
ejpam-3319	101	13	,	,	PUNCT
ejpam-3319	101	14	m	m	VERB
ejpam-3319	101	15	)	)	PUNCT
ejpam-3319	101	16	is	be	AUX
ejpam-3319	101	17	an	an	DET
ejpam-3319	101	18	element	element	NOUN
ejpam-3319	101	19	of	of	ADP
ejpam-3319	101	20	convolution	convolution	NOUN
ejpam-3319	101	21	algebra	algebra	NOUN
ejpam-3319	101	22	,	,	PUNCT
ejpam-3319	101	23	thus	thus	ADV
ejpam-3319	101	24	by	by	ADP
ejpam-3319	101	25	(	(	PUNCT
ejpam-3319	101	26	[	[	X
ejpam-3319	101	27	4	4	NUM
ejpam-3319	101	28	]	]	PUNCT
ejpam-3319	101	29	,	,	PUNCT
ejpam-3319	101	30	p.150	p.150	PROPN
ejpam-3319	101	31	-	-	SYM
ejpam-3319	101	32	151	151	NUM
ejpam-3319	101	33	)	)	PUNCT
ejpam-3319	101	34	,	,	PUNCT
ejpam-3319	101	35	we	we	PRON
ejpam-3319	101	36	have	have	VERB
ejpam-3319	101	37	that	that	SCONJ
ejpam-3319	101	38	the	the	DET
ejpam-3319	101	39	equation	equation	NOUN
ejpam-3319	101	40	(	(	PUNCT
ejpam-3319	101	41	14	14	NUM
ejpam-3319	101	42	)	)	PUNCT
ejpam-3319	101	43	has	have	VERB
ejpam-3319	101	44	a	a	DET
ejpam-3319	101	45	unique	unique	ADJ
ejpam-3319	101	46	solution	solution	NOUN
ejpam-3319	101	47	d(a	d(a	PROPN
ejpam-3319	101	48	)	)	PUNCT
ejpam-3319	101	49	=	=	PUNCT
ejpam-3319	102	1	fb,−2t(a	fb,−2t(a	PROPN
ejpam-3319	102	2	,	,	PUNCT
ejpam-3319	102	3	m	m	NOUN
ejpam-3319	102	4	)	)	PUNCT
ejpam-3319	102	5	∗	∗	NOUN
ejpam-3319	102	6	δ	δ	PROPN
ejpam-3319	102	7	=	=	SYM
ejpam-3319	102	8	fb,−2t(a	fb,−2t(a	PROPN
ejpam-3319	102	9	,	,	PUNCT
ejpam-3319	102	10	m	m	NOUN
ejpam-3319	102	11	)	)	PUNCT
ejpam-3319	102	12	.	.	PUNCT
ejpam-3319	103	1	(	(	PUNCT
ejpam-3319	103	2	15	15	NUM
ejpam-3319	103	3	)	)	PUNCT
ejpam-3319	103	4	that	that	PRON
ejpam-3319	103	5	complete	complete	VERB
ejpam-3319	103	6	the	the	DET
ejpam-3319	103	7	proof	proof	NOUN
ejpam-3319	103	8	.	.	PUNCT
ejpam-3319	104	1	lemma	lemma	PROPN
ejpam-3319	104	2	5	5	NUM
ejpam-3319	104	3	.	.	PUNCT
ejpam-3319	105	1	given	give	VERB
ejpam-3319	105	2	the	the	DET
ejpam-3319	105	3	equation	equation	NOUN
ejpam-3319	105	4	(	(	PUNCT
ejpam-3319	105	5	4b	4b	PROPN
ejpam-3319	105	6	+	+	NOUN
ejpam-3319	105	7	m2	m2	PROPN
ejpam-3319	105	8	)	)	PUNCT
ejpam-3319	105	9	t	t	PROPN
ejpam-3319	105	10	u(a	u(a	PROPN
ejpam-3319	105	11	)	)	PUNCT
ejpam-3319	105	12	=	=	SYM
ejpam-3319	105	13	δ	δ	PROPN
ejpam-3319	105	14	for	for	ADP
ejpam-3319	105	15	a	a	DET
ejpam-3319	105	16	∈	∈	PROPN
ejpam-3319	105	17	r+	r+	NOUN
ejpam-3319	105	18	n	n	X
ejpam-3319	105	19	,	,	PUNCT
ejpam-3319	105	20	where	where	SCONJ
ejpam-3319	105	21	(	(	PUNCT
ejpam-3319	105	22	4b	4b	PROPN
ejpam-3319	105	23	+	+	NOUN
ejpam-3319	105	24	m2	m2	PROPN
ejpam-3319	105	25	)	)	PUNCT
ejpam-3319	105	26	t	t	PROPN
ejpam-3319	105	27	is	be	AUX
ejpam-3319	105	28	the	the	DET
ejpam-3319	105	29	bessel	bessel	NOUN
ejpam-3319	105	30	-	-	PUNCT
ejpam-3319	105	31	helmholtz	helmholtz	NOUN
ejpam-3319	105	32	operator	operator	NOUN
ejpam-3319	105	33	iterated	iterate	VERB
ejpam-3319	105	34	t	t	PROPN
ejpam-3319	105	35	-	-	PUNCT
ejpam-3319	105	36	times	time	NOUN
ejpam-3319	105	37	defined	define	VERB
ejpam-3319	105	38	by	by	ADP
ejpam-3319	105	39	equation	equation	NOUN
ejpam-3319	105	40	(	(	PUNCT
ejpam-3319	105	41	6	6	NUM
ejpam-3319	105	42	)	)	PUNCT
ejpam-3319	105	43	,	,	PUNCT
ejpam-3319	105	44	δ	δ	PROPN
ejpam-3319	105	45	is	be	AUX
ejpam-3319	105	46	the	the	DET
ejpam-3319	105	47	dirac	dirac	NOUN
ejpam-3319	105	48	-	-	PUNCT
ejpam-3319	105	49	delta	delta	NOUN
ejpam-3319	105	50	distribution	distribution	NOUN
ejpam-3319	105	51	,	,	PUNCT
ejpam-3319	105	52	a	a	DET
ejpam-3319	105	53	∈	∈	NOUN
ejpam-3319	105	54	r+	r+	NOUN
ejpam-3319	105	55	n	n	CCONJ
ejpam-3319	105	56	and	and	CCONJ
ejpam-3319	105	57	t	t	PROPN
ejpam-3319	105	58	∈	∈	PROPN
ejpam-3319	105	59	z+	z+	NUM
ejpam-3319	105	60	∪	∪	X
ejpam-3319	105	61	{	{	PUNCT
ejpam-3319	105	62	0	0	NUM
ejpam-3319	105	63	}	}	PUNCT
ejpam-3319	105	64	,	,	PUNCT
ejpam-3319	105	65	then	then	ADV
ejpam-3319	105	66	u(a	u(a	PROPN
ejpam-3319	105	67	)	)	PUNCT
ejpam-3319	105	68	=	=	PUNCT
ejpam-3319	106	1	hb,2t(a	hb,2t(a	PROPN
ejpam-3319	106	2	,	,	PUNCT
ejpam-3319	106	3	m	m	PRON
ejpam-3319	106	4	)	)	PUNCT
ejpam-3319	106	5	is	be	AUX
ejpam-3319	106	6	an	an	DET
ejpam-3319	106	7	elementary	elementary	ADJ
ejpam-3319	106	8	solution	solution	NOUN
ejpam-3319	106	9	of	of	ADP
ejpam-3319	106	10	the	the	DET
ejpam-3319	106	11	operator	operator	NOUN
ejpam-3319	106	12	(	(	PUNCT
ejpam-3319	106	13	4b	4b	PROPN
ejpam-3319	106	14	+	+	PROPN
ejpam-3319	106	15	m2	m2	PROPN
ejpam-3319	106	16	)	)	PUNCT
ejpam-3319	106	17	t	t	PROPN
ejpam-3319	106	18	,	,	PUNCT
ejpam-3319	106	19	where	where	SCONJ
ejpam-3319	106	20	hb,2t(a	hb,2t(a	PROPN
ejpam-3319	106	21	,	,	PUNCT
ejpam-3319	106	22	m	m	NOUN
ejpam-3319	106	23	)	)	PUNCT
ejpam-3319	106	24	=	=	PUNCT
ejpam-3319	107	1	∞∑	∞∑	NUM
ejpam-3319	107	2	r=0	r=0	PROPN
ejpam-3319	107	3	(	(	PUNCT
ejpam-3319	107	4	−t	−t	NOUN
ejpam-3319	107	5	r	r	NOUN
ejpam-3319	107	6	)	)	PUNCT
ejpam-3319	107	7	m2r(−1)t+rs2t+2r(a	m2r(−1)t+rs2t+2r(a	PROPN
ejpam-3319	107	8	)	)	PUNCT
ejpam-3319	107	9	,	,	PUNCT
ejpam-3319	107	10	(	(	PUNCT
ejpam-3319	107	11	16	16	X
ejpam-3319	107	12	)	)	PUNCT
ejpam-3319	107	13	s2t(a	s2t(a	PROPN
ejpam-3319	107	14	)	)	PUNCT
ejpam-3319	107	15	is	be	AUX
ejpam-3319	107	16	defined	define	VERB
ejpam-3319	107	17	by	by	ADP
ejpam-3319	107	18	(	(	PUNCT
ejpam-3319	107	19	12	12	NUM
ejpam-3319	107	20	)	)	PUNCT
ejpam-3319	107	21	.	.	PUNCT
ejpam-3319	108	1	s.	s.	PROPN
ejpam-3319	108	2	bupasiri	bupasiri	PROPN
ejpam-3319	108	3	/	/	SYM
ejpam-3319	108	4	eur	eur	PROPN
ejpam-3319	108	5	.	.	PUNCT
ejpam-3319	109	1	j.	j.	PROPN
ejpam-3319	109	2	pure	pure	PROPN
ejpam-3319	109	3	appl	appl	PROPN
ejpam-3319	109	4	.	.	PROPN
ejpam-3319	109	5	math	math	PROPN
ejpam-3319	109	6	,	,	PUNCT
ejpam-3319	109	7	11	11	NUM
ejpam-3319	109	8	(	(	PUNCT
ejpam-3319	109	9	4	4	NUM
ejpam-3319	109	10	)	)	PUNCT
ejpam-3319	109	11	(	(	PUNCT
ejpam-3319	109	12	2018	2018	NUM
ejpam-3319	109	13	)	)	PUNCT
ejpam-3319	109	14	,	,	PUNCT
ejpam-3319	109	15	922	922	NUM
ejpam-3319	109	16	-	-	SYM
ejpam-3319	109	17	928	928	NUM
ejpam-3319	109	18	926	926	NUM
ejpam-3319	109	19	proof	proof	NOUN
ejpam-3319	109	20	.	.	PUNCT
ejpam-3319	110	1	see	see	VERB
ejpam-3319	110	2	[	[	X
ejpam-3319	110	3	9	9	NUM
ejpam-3319	110	4	]	]	PUNCT
ejpam-3319	110	5	.	.	PUNCT
ejpam-3319	111	1	lemma	lemma	PROPN
ejpam-3319	111	2	6	6	NUM
ejpam-3319	111	3	.	.	PUNCT
ejpam-3319	112	1	the	the	DET
ejpam-3319	112	2	convolution	convolution	NOUN
ejpam-3319	112	3	fb,2t(a	fb,2t(a	PROPN
ejpam-3319	112	4	,	,	PUNCT
ejpam-3319	112	5	m)∗hb,2t(a	m)∗hb,2t(a	PROPN
ejpam-3319	112	6	,	,	PUNCT
ejpam-3319	112	7	m	m	NOUN
ejpam-3319	112	8	)	)	PUNCT
ejpam-3319	112	9	exists	exist	VERB
ejpam-3319	112	10	and	and	CCONJ
ejpam-3319	112	11	is	be	AUX
ejpam-3319	112	12	a	a	DET
ejpam-3319	112	13	tempered	temper	VERB
ejpam-3319	112	14	distribution	distribution	NOUN
ejpam-3319	112	15	where	where	SCONJ
ejpam-3319	112	16	fb,2t(a	fb,2t(a	PROPN
ejpam-3319	112	17	,	,	PUNCT
ejpam-3319	112	18	m	m	NOUN
ejpam-3319	112	19	)	)	PUNCT
ejpam-3319	112	20	and	and	CCONJ
ejpam-3319	112	21	hb,2t(a	hb,2t(a	PROPN
ejpam-3319	112	22	,	,	PUNCT
ejpam-3319	112	23	m	m	VERB
ejpam-3319	112	24	)	)	PUNCT
ejpam-3319	112	25	be	be	AUX
ejpam-3319	112	26	defined	define	VERB
ejpam-3319	112	27	by	by	ADP
ejpam-3319	112	28	(	(	PUNCT
ejpam-3319	112	29	13	13	NUM
ejpam-3319	112	30	)	)	PUNCT
ejpam-3319	112	31	and	and	CCONJ
ejpam-3319	112	32	(	(	PUNCT
ejpam-3319	112	33	16	16	NUM
ejpam-3319	112	34	)	)	PUNCT
ejpam-3319	112	35	,	,	PUNCT
ejpam-3319	112	36	respectively	respectively	ADV
ejpam-3319	112	37	.	.	PUNCT
ejpam-3319	113	1	proof	proof	NOUN
ejpam-3319	113	2	.	.	PUNCT
ejpam-3319	114	1	from	from	ADP
ejpam-3319	114	2	(	(	PUNCT
ejpam-3319	114	3	13	13	NUM
ejpam-3319	114	4	)	)	PUNCT
ejpam-3319	114	5	and	and	CCONJ
ejpam-3319	114	6	(	(	PUNCT
ejpam-3319	114	7	16	16	NUM
ejpam-3319	114	8	)	)	PUNCT
ejpam-3319	114	9	,	,	PUNCT
ejpam-3319	114	10	we	we	PRON
ejpam-3319	114	11	have	have	VERB
ejpam-3319	114	12	fb,2t(a	fb,2t(a	PROPN
ejpam-3319	114	13	,	,	PUNCT
ejpam-3319	114	14	m	m	NOUN
ejpam-3319	114	15	)	)	PUNCT
ejpam-3319	114	16	∗hb,2t(a	∗hb,2t(a	PROPN
ejpam-3319	114	17	,	,	PUNCT
ejpam-3319	114	18	m	m	NOUN
ejpam-3319	114	19	)	)	PUNCT
ejpam-3319	114	20	=	=	SYM
ejpam-3319	115	1	(	(	PUNCT
ejpam-3319	115	2	∞∑	∞∑	NUM
ejpam-3319	115	3	r=0	r=0	PROPN
ejpam-3319	115	4	(	(	PUNCT
ejpam-3319	115	5	−t	−t	NOUN
ejpam-3319	115	6	r	r	NOUN
ejpam-3319	115	7	)	)	PUNCT
ejpam-3319	115	8	m2rr2t+2r(a	m2rr2t+2r(a	NUM
ejpam-3319	115	9	)	)	PUNCT
ejpam-3319	115	10	)	)	PUNCT
ejpam-3319	115	11	∗	∗	NOUN
ejpam-3319	115	12	(	(	PUNCT
ejpam-3319	115	13	∞∑	∞∑	PROPN
ejpam-3319	115	14	r=0	r=0	PROPN
ejpam-3319	115	15	(	(	PUNCT
ejpam-3319	115	16	−t	−t	NOUN
ejpam-3319	115	17	r	r	NOUN
ejpam-3319	115	18	)	)	PUNCT
ejpam-3319	115	19	m2r(−1)t+rs2t+2r(a	m2r(−1)t+rs2t+2r(a	PROPN
ejpam-3319	115	20	)	)	PUNCT
ejpam-3319	115	21	)	)	PUNCT
ejpam-3319	116	1	=	=	PUNCT
ejpam-3319	117	1	∞∑	∞∑	NUM
ejpam-3319	117	2	r=0	r=0	NUM
ejpam-3319	117	3	∞∑	∞∑	NUM
ejpam-3319	117	4	s=0	s=0	NOUN
ejpam-3319	117	5	(	(	PUNCT
ejpam-3319	117	6	−t	−t	NOUN
ejpam-3319	117	7	r	r	NOUN
ejpam-3319	117	8	)	)	PUNCT
ejpam-3319	117	9	(	(	PUNCT
ejpam-3319	117	10	−t	−t	NOUN
ejpam-3319	117	11	s	s	PART
ejpam-3319	117	12	)	)	PUNCT
ejpam-3319	117	13	m2r+2s(−1)t+rs2t+2r(a	m2r+2s(−1)t+rs2t+2r(a	PROPN
ejpam-3319	117	14	)	)	PUNCT
ejpam-3319	117	15	∗r2t+2s(a	∗r2t+2s(a	NUM
ejpam-3319	117	16	)	)	PUNCT
ejpam-3319	117	17	.	.	PUNCT
ejpam-3319	118	1	since	since	SCONJ
ejpam-3319	118	2	the	the	DET
ejpam-3319	118	3	function	function	NOUN
ejpam-3319	118	4	s2t+2r(a	s2t+2r(a	VERB
ejpam-3319	118	5	)	)	PUNCT
ejpam-3319	118	6	and	and	CCONJ
ejpam-3319	118	7	r2t+2s(a	r2t+2s(a	PROPN
ejpam-3319	118	8	)	)	PUNCT
ejpam-3319	118	9	are	be	AUX
ejpam-3319	118	10	tempered	temper	VERB
ejpam-3319	118	11	distributions	distribution	NOUN
ejpam-3319	118	12	,	,	PUNCT
ejpam-3319	118	13	see	see	VERB
ejpam-3319	118	14	(	(	PUNCT
ejpam-3319	118	15	[	[	X
ejpam-3319	118	16	3	3	NUM
ejpam-3319	118	17	]	]	PUNCT
ejpam-3319	118	18	,	,	PUNCT
ejpam-3319	118	19	p.302	p.302	NOUN
ejpam-3319	118	20	and	and	CCONJ
ejpam-3319	118	21	[	[	X
ejpam-3319	118	22	1	1	NUM
ejpam-3319	118	23	]	]	PUNCT
ejpam-3319	118	24	,	,	PUNCT
ejpam-3319	118	25	p.97	p.97	PROPN
ejpam-3319	118	26	)	)	PUNCT
ejpam-3319	118	27	.	.	PUNCT
ejpam-3319	119	1	from	from	ADP
ejpam-3319	119	2	(	(	PUNCT
ejpam-3319	119	3	[	[	X
ejpam-3319	119	4	10	10	NUM
ejpam-3319	119	5	]	]	PUNCT
ejpam-3319	119	6	,	,	PUNCT
ejpam-3319	119	7	p.152	p.152	NOUN
ejpam-3319	119	8	)	)	PUNCT
ejpam-3319	119	9	,	,	PUNCT
ejpam-3319	119	10	the	the	DET
ejpam-3319	119	11	convolution	convolution	NOUN
ejpam-3319	119	12	of	of	ADP
ejpam-3319	119	13	functions	function	NOUN
ejpam-3319	119	14	(	(	PUNCT
ejpam-3319	119	15	−1)t+rs2t+2r(a	−1)t+rs2t+2r(a	NOUN
ejpam-3319	119	16	)	)	PUNCT
ejpam-3319	119	17	∗r2t+2s(a	∗r2t+2s(a	NUM
ejpam-3319	119	18	)	)	PUNCT
ejpam-3319	119	19	,	,	PUNCT
ejpam-3319	119	20	exists	exist	VERB
ejpam-3319	119	21	and	and	CCONJ
ejpam-3319	119	22	is	be	AUX
ejpam-3319	119	23	also	also	ADV
ejpam-3319	119	24	a	a	DET
ejpam-3319	119	25	tempered	temper	VERB
ejpam-3319	119	26	distribution	distribution	NOUN
ejpam-3319	119	27	.	.	PUNCT
ejpam-3319	120	1	thus	thus	ADV
ejpam-3319	120	2	,	,	PUNCT
ejpam-3319	120	3	fb,2t(a	fb,2t(a	PROPN
ejpam-3319	120	4	,	,	PUNCT
ejpam-3319	120	5	m	m	NOUN
ejpam-3319	120	6	)	)	PUNCT
ejpam-3319	120	7	∗hb,2t(a	∗hb,2t(a	PROPN
ejpam-3319	120	8	,	,	PUNCT
ejpam-3319	120	9	m	m	NOUN
ejpam-3319	120	10	)	)	PUNCT
ejpam-3319	120	11	exists	exist	VERB
ejpam-3319	120	12	and	and	CCONJ
ejpam-3319	120	13	also	also	ADV
ejpam-3319	120	14	is	be	AUX
ejpam-3319	120	15	a	a	DET
ejpam-3319	120	16	tempered	temper	VERB
ejpam-3319	120	17	distribution	distribution	NOUN
ejpam-3319	120	18	.	.	PUNCT
ejpam-3319	121	1	3	3	X
ejpam-3319	121	2	.	.	X
ejpam-3319	121	3	main	main	ADJ
ejpam-3319	121	4	results	result	NOUN
ejpam-3319	121	5	theorem	theorem	VERB
ejpam-3319	121	6	1	1	NUM
ejpam-3319	121	7	.	.	PUNCT
ejpam-3319	122	1	given	give	VERB
ejpam-3319	122	2	the	the	DET
ejpam-3319	122	3	equation	equation	NOUN
ejpam-3319	122	4	�	�	PROPN
ejpam-3319	122	5	tbt	tbt	PROPN
ejpam-3319	122	6	(	(	PUNCT
ejpam-3319	122	7	a	a	PRON
ejpam-3319	122	8	,	,	PUNCT
ejpam-3319	122	9	m	m	NOUN
ejpam-3319	122	10	)	)	PUNCT
ejpam-3319	122	11	=	=	SYM
ejpam-3319	122	12	δ	δ	PROPN
ejpam-3319	122	13	(	(	PUNCT
ejpam-3319	122	14	17	17	NUM
ejpam-3319	122	15	)	)	PUNCT
ejpam-3319	122	16	for	for	ADP
ejpam-3319	122	17	a	a	DET
ejpam-3319	122	18	∈	∈	PROPN
ejpam-3319	122	19	r+	r+	NOUN
ejpam-3319	122	20	n	n	PRON
ejpam-3319	122	21	,	,	PUNCT
ejpam-3319	122	22	where	where	SCONJ
ejpam-3319	122	23	�	�	NOUN
ejpam-3319	122	24	tb	tb	X
ejpam-3319	122	25	is	be	AUX
ejpam-3319	122	26	the	the	DET
ejpam-3319	122	27	bessel	bessel	ADJ
ejpam-3319	122	28	operator	operator	NOUN
ejpam-3319	122	29	iterated	iterate	VERB
ejpam-3319	122	30	t	t	PROPN
ejpam-3319	122	31	-	-	PUNCT
ejpam-3319	122	32	times	time	NOUN
ejpam-3319	122	33	defined	define	VERB
ejpam-3319	122	34	by	by	ADP
ejpam-3319	122	35	(	(	PUNCT
ejpam-3319	122	36	5	5	NUM
ejpam-3319	122	37	)	)	PUNCT
ejpam-3319	122	38	,	,	PUNCT
ejpam-3319	122	39	then	then	ADV
ejpam-3319	122	40	t	t	PROPN
ejpam-3319	122	41	(	(	PUNCT
ejpam-3319	122	42	a	a	PRON
ejpam-3319	122	43	,	,	PUNCT
ejpam-3319	122	44	m	m	NOUN
ejpam-3319	122	45	)	)	PUNCT
ejpam-3319	122	46	=	=	SYM
ejpam-3319	122	47	fb,2t(a	fb,2t(a	PROPN
ejpam-3319	122	48	,	,	PUNCT
ejpam-3319	122	49	m	m	NOUN
ejpam-3319	122	50	)	)	PUNCT
ejpam-3319	122	51	∗hb,2t(a	∗hb,2t(a	PROPN
ejpam-3319	122	52	,	,	PUNCT
ejpam-3319	122	53	m	m	NOUN
ejpam-3319	122	54	)	)	PUNCT
ejpam-3319	122	55	(	(	PUNCT
ejpam-3319	122	56	18	18	NUM
ejpam-3319	122	57	)	)	PUNCT
ejpam-3319	122	58	is	be	AUX
ejpam-3319	122	59	an	an	DET
ejpam-3319	122	60	elementary	elementary	ADJ
ejpam-3319	122	61	solution	solution	NOUN
ejpam-3319	122	62	of	of	ADP
ejpam-3319	122	63	(	(	PUNCT
ejpam-3319	122	64	17	17	NUM
ejpam-3319	122	65	)	)	PUNCT
ejpam-3319	122	66	,	,	PUNCT
ejpam-3319	122	67	where	where	SCONJ
ejpam-3319	122	68	fb,2t(a	fb,2t(a	PROPN
ejpam-3319	122	69	,	,	PUNCT
ejpam-3319	122	70	m	m	NOUN
ejpam-3319	122	71	)	)	PUNCT
ejpam-3319	122	72	and	and	CCONJ
ejpam-3319	122	73	hb,2t(a	hb,2t(a	PROPN
ejpam-3319	122	74	,	,	PUNCT
ejpam-3319	122	75	m	m	PRON
ejpam-3319	122	76	)	)	PUNCT
ejpam-3319	122	77	are	be	AUX
ejpam-3319	122	78	defined	define	VERB
ejpam-3319	122	79	by	by	ADP
ejpam-3319	122	80	(	(	PUNCT
ejpam-3319	122	81	13	13	NUM
ejpam-3319	122	82	)	)	PUNCT
ejpam-3319	122	83	and	and	CCONJ
ejpam-3319	122	84	(	(	PUNCT
ejpam-3319	122	85	16	16	NUM
ejpam-3319	122	86	)	)	PUNCT
ejpam-3319	122	87	,	,	PUNCT
ejpam-3319	122	88	respectively	respectively	ADV
ejpam-3319	122	89	,	,	PUNCT
ejpam-3319	122	90	t	t	PROPN
ejpam-3319	122	91	∈	∈	PROPN
ejpam-3319	122	92	z+	z+	NUM
ejpam-3319	122	93	∪	∪	X
ejpam-3319	122	94	{	{	PUNCT
ejpam-3319	122	95	0	0	NUM
ejpam-3319	122	96	}	}	PUNCT
ejpam-3319	122	97	and	and	CCONJ
ejpam-3319	122	98	m	m	PROPN
ejpam-3319	122	99	∈	∈	NOUN
ejpam-3319	122	100	r+	r+	NOUN
ejpam-3319	122	101	∪	∪	X
ejpam-3319	122	102	{	{	PUNCT
ejpam-3319	122	103	0	0	NUM
ejpam-3319	122	104	}	}	PUNCT
ejpam-3319	122	105	.	.	PUNCT
ejpam-3319	123	1	moreover	moreover	ADV
ejpam-3319	123	2	,	,	PUNCT
ejpam-3319	123	3	from	from	ADP
ejpam-3319	123	4	(	(	PUNCT
ejpam-3319	123	5	18	18	NUM
ejpam-3319	123	6	)	)	PUNCT
ejpam-3319	123	7	we	we	PRON
ejpam-3319	123	8	obtain	obtain	VERB
ejpam-3319	123	9	fb,−2t(a	fb,−2t(a	PROPN
ejpam-3319	123	10	,	,	PUNCT
ejpam-3319	123	11	m	m	NOUN
ejpam-3319	123	12	)	)	PUNCT
ejpam-3319	123	13	∗	∗	NOUN
ejpam-3319	123	14	t	t	NOUN
ejpam-3319	123	15	(	(	PUNCT
ejpam-3319	123	16	a	a	PRON
ejpam-3319	123	17	,	,	PUNCT
ejpam-3319	123	18	m	m	NOUN
ejpam-3319	123	19	)	)	PUNCT
ejpam-3319	123	20	=	=	SYM
ejpam-3319	124	1	hb,2t(a	hb,2t(a	PROPN
ejpam-3319	124	2	,	,	PUNCT
ejpam-3319	124	3	m	m	NOUN
ejpam-3319	124	4	)	)	PUNCT
ejpam-3319	124	5	(	(	PUNCT
ejpam-3319	124	6	19	19	NUM
ejpam-3319	124	7	)	)	PUNCT
ejpam-3319	124	8	as	as	ADP
ejpam-3319	124	9	an	an	DET
ejpam-3319	124	10	elementary	elementary	ADJ
ejpam-3319	124	11	solution	solution	NOUN
ejpam-3319	124	12	of	of	ADP
ejpam-3319	124	13	the	the	DET
ejpam-3319	124	14	bessel	bessel	NOUN
ejpam-3319	124	15	-	-	PUNCT
ejpam-3319	124	16	helmholtz	helmholtz	NOUN
ejpam-3319	124	17	operator	operator	NOUN
ejpam-3319	124	18	(	(	PUNCT
ejpam-3319	124	19	4b	4b	X
ejpam-3319	124	20	+	+	CCONJ
ejpam-3319	124	21	m2)t	m2)t	PROPN
ejpam-3319	124	22	iterated	iterate	VERB
ejpam-3319	124	23	t	t	PROPN
ejpam-3319	124	24	-	-	PUNCT
ejpam-3319	124	25	times	time	NOUN
ejpam-3319	124	26	defined	define	VERB
ejpam-3319	124	27	by	by	ADP
ejpam-3319	124	28	(	(	PUNCT
ejpam-3319	124	29	6	6	NUM
ejpam-3319	124	30	)	)	PUNCT
ejpam-3319	124	31	and	and	CCONJ
ejpam-3319	124	32	in	in	ADP
ejpam-3319	124	33	particular	particular	ADJ
ejpam-3319	124	34	,	,	PUNCT
ejpam-3319	124	35	for	for	ADP
ejpam-3319	124	36	q	q	NOUN
ejpam-3319	124	37	=	=	SYM
ejpam-3319	124	38	0	0	NUM
ejpam-3319	124	39	then	then	ADV
ejpam-3319	124	40	�	�	NOUN
ejpam-3319	124	41	tb	tb	NOUN
ejpam-3319	124	42	reduces	reduce	VERB
ejpam-3319	124	43	to	to	ADP
ejpam-3319	124	44	the	the	DET
ejpam-3319	124	45	bessel	bessel	NOUN
ejpam-3319	124	46	-	-	PUNCT
ejpam-3319	124	47	helmhotz	helmhotz	NOUN
ejpam-3319	124	48	operator	operator	NOUN
ejpam-3319	124	49	(	(	PUNCT
ejpam-3319	124	50	4b	4b	PROPN
ejpam-3319	124	51	,	,	PUNCT
ejpam-3319	124	52	p	p	PROPN
ejpam-3319	124	53	+	+	PROPN
ejpam-3319	124	54	m2	m2	PROPN
ejpam-3319	124	55	)	)	PUNCT
ejpam-3319	124	56	2	2	NUM
ejpam-3319	124	57	t	t	NOUN
ejpam-3319	124	58	of	of	ADP
ejpam-3319	124	59	p	p	NOUN
ejpam-3319	124	60	-	-	PUNCT
ejpam-3319	124	61	dimension	dimension	NOUN
ejpam-3319	124	62	iterated	iterated	ADJ
ejpam-3319	124	63	2t	2t	NOUN
ejpam-3319	124	64	-	-	PUNCT
ejpam-3319	124	65	times	time	NOUN
ejpam-3319	124	66	and	and	CCONJ
ejpam-3319	124	67	is	be	AUX
ejpam-3319	124	68	defined	define	VERB
ejpam-3319	124	69	by	by	ADP
ejpam-3319	124	70	(	(	PUNCT
ejpam-3319	124	71	8)	8)	NUM
ejpam-3319	124	72	,	,	PUNCT
ejpam-3319	124	73	where	where	SCONJ
ejpam-3319	124	74	4b	4b	PROPN
ejpam-3319	124	75	,	,	PUNCT
ejpam-3319	124	76	p	p	NOUN
ejpam-3319	124	77	=	=	PUNCT
ejpam-3319	124	78	ba1	ba1	PROPN
ejpam-3319	125	1	+	+	PROPN
ejpam-3319	125	2	ba2	ba2	PROPN
ejpam-3319	125	3	+	+	X
ejpam-3319	125	4	·	·	PUNCT
ejpam-3319	125	5	·	·	PUNCT
ejpam-3319	125	6	·	·	PUNCT
ejpam-3319	125	7	+	+	ADJ
ejpam-3319	125	8	bap	bap	ADJ
ejpam-3319	125	9	,	,	PUNCT
ejpam-3319	125	10	thus	thus	ADV
ejpam-3319	125	11	(	(	PUNCT
ejpam-3319	125	12	17	17	NUM
ejpam-3319	125	13	)	)	PUNCT
ejpam-3319	125	14	becomes	become	VERB
ejpam-3319	125	15	(	(	PUNCT
ejpam-3319	125	16	4b	4b	X
ejpam-3319	125	17	,	,	PUNCT
ejpam-3319	125	18	p	p	PROPN
ejpam-3319	125	19	+	+	PROPN
ejpam-3319	125	20	m2	m2	PROPN
ejpam-3319	125	21	)	)	PUNCT
ejpam-3319	125	22	2	2	NUM
ejpam-3319	125	23	t	t	NOUN
ejpam-3319	125	24	t	t	NOUN
ejpam-3319	125	25	(	(	PUNCT
ejpam-3319	125	26	a	a	PRON
ejpam-3319	125	27	,	,	PUNCT
ejpam-3319	125	28	m	m	NOUN
ejpam-3319	125	29	)	)	PUNCT
ejpam-3319	125	30	=	=	SYM
ejpam-3319	125	31	δ	δ	PROPN
ejpam-3319	125	32	(	(	PUNCT
ejpam-3319	125	33	20	20	NUM
ejpam-3319	125	34	)	)	PUNCT
ejpam-3319	125	35	s.	s.	PROPN
ejpam-3319	125	36	bupasiri	bupasiri	PROPN
ejpam-3319	125	37	/	/	SYM
ejpam-3319	125	38	eur	eur	PROPN
ejpam-3319	125	39	.	.	PUNCT
ejpam-3319	126	1	j.	j.	PROPN
ejpam-3319	126	2	pure	pure	PROPN
ejpam-3319	126	3	appl	appl	PROPN
ejpam-3319	126	4	.	.	PROPN
ejpam-3319	126	5	math	math	PROPN
ejpam-3319	126	6	,	,	PUNCT
ejpam-3319	126	7	11	11	NUM
ejpam-3319	126	8	(	(	PUNCT
ejpam-3319	126	9	4	4	NUM
ejpam-3319	126	10	)	)	PUNCT
ejpam-3319	126	11	(	(	PUNCT
ejpam-3319	126	12	2018	2018	NUM
ejpam-3319	126	13	)	)	PUNCT
ejpam-3319	126	14	,	,	PUNCT
ejpam-3319	126	15	922	922	NUM
ejpam-3319	126	16	-	-	SYM
ejpam-3319	126	17	928	928	NUM
ejpam-3319	126	18	927	927	NUM
ejpam-3319	126	19	we	we	PRON
ejpam-3319	126	20	obtain	obtain	VERB
ejpam-3319	126	21	t	t	PROPN
ejpam-3319	126	22	(	(	PUNCT
ejpam-3319	126	23	a	a	PRON
ejpam-3319	126	24	,	,	PUNCT
ejpam-3319	126	25	m	m	NOUN
ejpam-3319	126	26	)	)	PUNCT
ejpam-3319	127	1	=	=	SYM
ejpam-3319	127	2	hb,4t(a	hb,4t(a	PROPN
ejpam-3319	127	3	,	,	PUNCT
ejpam-3319	127	4	m	m	NOUN
ejpam-3319	127	5	)	)	PUNCT
ejpam-3319	127	6	(	(	PUNCT
ejpam-3319	127	7	21	21	NUM
ejpam-3319	127	8	)	)	PUNCT
ejpam-3319	127	9	is	be	AUX
ejpam-3319	127	10	an	an	DET
ejpam-3319	127	11	elementary	elementary	ADJ
ejpam-3319	127	12	solution	solution	NOUN
ejpam-3319	127	13	of	of	ADP
ejpam-3319	127	14	(	(	PUNCT
ejpam-3319	127	15	20	20	NUM
ejpam-3319	127	16	)	)	PUNCT
ejpam-3319	127	17	.	.	PUNCT
ejpam-3319	128	1	proof	proof	NOUN
ejpam-3319	128	2	.	.	PUNCT
ejpam-3319	129	1	from	from	ADP
ejpam-3319	129	2	(	(	PUNCT
ejpam-3319	129	3	5	5	NUM
ejpam-3319	129	4	)	)	PUNCT
ejpam-3319	129	5	and	and	CCONJ
ejpam-3319	129	6	(	(	PUNCT
ejpam-3319	129	7	17	17	NUM
ejpam-3319	129	8	)	)	PUNCT
ejpam-3319	129	9	we	we	PRON
ejpam-3319	129	10	have	have	VERB
ejpam-3319	129	11	�	�	PROPN
ejpam-3319	129	12	tbt	tbt	PROPN
ejpam-3319	129	13	(	(	PUNCT
ejpam-3319	129	14	a	a	PRON
ejpam-3319	129	15	,	,	PUNCT
ejpam-3319	129	16	m	m	NOUN
ejpam-3319	129	17	)	)	PUNCT
ejpam-3319	129	18	=	=	SYM
ejpam-3319	129	19	(	(	PUNCT
ejpam-3319	129	20	(	(	PUNCT
ejpam-3319	129	21	�	�	PROPN
ejpam-3319	129	22	b	b	NOUN
ejpam-3319	129	23	+	+	NOUN
ejpam-3319	129	24	m2	m2	PROPN
ejpam-3319	129	25	)	)	PUNCT
ejpam-3319	129	26	t	t	PROPN
ejpam-3319	129	27	(	(	PUNCT
ejpam-3319	129	28	4b	4b	PROPN
ejpam-3319	129	29	+	+	PROPN
ejpam-3319	129	30	m2	m2	PROPN
ejpam-3319	129	31	)	)	PUNCT
ejpam-3319	129	32	t	t	PROPN
ejpam-3319	129	33	)	)	PUNCT
ejpam-3319	129	34	t	t	PROPN
ejpam-3319	129	35	(	(	PUNCT
ejpam-3319	129	36	a	a	PRON
ejpam-3319	129	37	,	,	PUNCT
ejpam-3319	129	38	m	m	NOUN
ejpam-3319	129	39	)	)	PUNCT
ejpam-3319	130	1	=	=	SYM
ejpam-3319	130	2	δ	δ	PROPN
ejpam-3319	130	3	.	.	PUNCT
ejpam-3319	130	4	convolution	convolution	NOUN
ejpam-3319	130	5	of	of	ADP
ejpam-3319	130	6	the	the	DET
ejpam-3319	130	7	above	above	ADJ
ejpam-3319	130	8	equation	equation	NOUN
ejpam-3319	130	9	by	by	ADP
ejpam-3319	130	10	fb,2t(a	fb,2t(a	PROPN
ejpam-3319	130	11	,	,	PUNCT
ejpam-3319	130	12	m	m	NOUN
ejpam-3319	130	13	)	)	PUNCT
ejpam-3319	130	14	∗	∗	NOUN
ejpam-3319	130	15	hb,2t(a	hb,2t(a	PROPN
ejpam-3319	130	16	,	,	PUNCT
ejpam-3319	130	17	m	m	NOUN
ejpam-3319	130	18	)	)	PUNCT
ejpam-3319	130	19	and	and	CCONJ
ejpam-3319	130	20	the	the	DET
ejpam-3319	130	21	properties	property	NOUN
ejpam-3319	130	22	of	of	ADP
ejpam-3319	130	23	convolution	convolution	NOUN
ejpam-3319	130	24	with	with	ADP
ejpam-3319	130	25	derivatives	derivative	NOUN
ejpam-3319	130	26	,	,	PUNCT
ejpam-3319	130	27	we	we	PRON
ejpam-3319	130	28	obtain	obtain	VERB
ejpam-3319	130	29	(	(	PUNCT
ejpam-3319	130	30	�	�	PROPN
ejpam-3319	130	31	b	b	NOUN
ejpam-3319	130	32	+	+	NOUN
ejpam-3319	130	33	m2	m2	PROPN
ejpam-3319	130	34	)	)	PUNCT
ejpam-3319	130	35	t	t	PROPN
ejpam-3319	130	36	fb,2t(a	fb,2t(a	PROPN
ejpam-3319	130	37	,	,	PUNCT
ejpam-3319	130	38	m	m	NOUN
ejpam-3319	130	39	)	)	PUNCT
ejpam-3319	130	40	∗	∗	NOUN
ejpam-3319	130	41	(	(	PUNCT
ejpam-3319	130	42	4b	4b	PROPN
ejpam-3319	130	43	+	+	NOUN
ejpam-3319	130	44	m2	m2	PROPN
ejpam-3319	130	45	)	)	PUNCT
ejpam-3319	130	46	t	t	PROPN
ejpam-3319	131	1	hb,2t(a	hb,2t(a	PROPN
ejpam-3319	131	2	,	,	PUNCT
ejpam-3319	131	3	m	m	NOUN
ejpam-3319	131	4	)	)	PUNCT
ejpam-3319	131	5	∗	∗	NOUN
ejpam-3319	131	6	t	t	NOUN
ejpam-3319	131	7	(	(	PUNCT
ejpam-3319	131	8	a	a	PRON
ejpam-3319	131	9	,	,	PUNCT
ejpam-3319	131	10	m	m	NOUN
ejpam-3319	131	11	)	)	PUNCT
ejpam-3319	132	1	=	=	SYM
ejpam-3319	132	2	fb,2t(a	fb,2t(a	PROPN
ejpam-3319	132	3	,	,	PUNCT
ejpam-3319	132	4	m	m	NOUN
ejpam-3319	132	5	)	)	PUNCT
ejpam-3319	132	6	∗hb,2t(a	∗hb,2t(a	PROPN
ejpam-3319	132	7	,	,	PUNCT
ejpam-3319	132	8	m	m	NOUN
ejpam-3319	132	9	)	)	PUNCT
ejpam-3319	132	10	∗	∗	PROPN
ejpam-3319	132	11	δ	δ	PROPN
ejpam-3319	132	12	.	.	PUNCT
ejpam-3319	133	1	(	(	PUNCT
ejpam-3319	133	2	22	22	NUM
ejpam-3319	133	3	)	)	PUNCT
ejpam-3319	133	4	thus	thus	ADV
ejpam-3319	133	5	t	t	X
ejpam-3319	133	6	(	(	PUNCT
ejpam-3319	133	7	a	a	PRON
ejpam-3319	133	8	,	,	PUNCT
ejpam-3319	133	9	m	m	NOUN
ejpam-3319	133	10	)	)	PUNCT
ejpam-3319	133	11	=	=	SYM
ejpam-3319	133	12	δ	δ	PROPN
ejpam-3319	133	13	∗	∗	NOUN
ejpam-3319	133	14	δ	δ	PROPN
ejpam-3319	133	15	∗	∗	NOUN
ejpam-3319	133	16	t	t	PROPN
ejpam-3319	133	17	(	(	PUNCT
ejpam-3319	133	18	a	a	PRON
ejpam-3319	133	19	,	,	PUNCT
ejpam-3319	133	20	m	m	NOUN
ejpam-3319	133	21	)	)	PUNCT
ejpam-3319	133	22	=	=	SYM
ejpam-3319	134	1	fb,2t(a	fb,2t(a	PROPN
ejpam-3319	134	2	,	,	PUNCT
ejpam-3319	134	3	m	m	NOUN
ejpam-3319	134	4	)	)	PUNCT
ejpam-3319	134	5	∗hb,2t(a	∗hb,2t(a	PROPN
ejpam-3319	134	6	,	,	PUNCT
ejpam-3319	134	7	m	m	NOUN
ejpam-3319	134	8	)	)	PUNCT
ejpam-3319	134	9	(	(	PUNCT
ejpam-3319	134	10	23	23	NUM
ejpam-3319	134	11	)	)	PUNCT
ejpam-3319	134	12	by	by	ADP
ejpam-3319	134	13	lemma	lemma	PROPN
ejpam-3319	134	14	3	3	NUM
ejpam-3319	134	15	and	and	CCONJ
ejpam-3319	134	16	lemma	lemma	PROPN
ejpam-3319	134	17	5	5	NUM
ejpam-3319	134	18	.	.	PUNCT
ejpam-3319	135	1	now	now	ADV
ejpam-3319	135	2	from	from	ADP
ejpam-3319	135	3	(	(	PUNCT
ejpam-3319	135	4	18	18	NUM
ejpam-3319	135	5	)	)	PUNCT
ejpam-3319	135	6	and	and	CCONJ
ejpam-3319	135	7	by	by	ADP
ejpam-3319	135	8	lemma	lemma	PROPN
ejpam-3319	135	9	3	3	NUM
ejpam-3319	135	10	and	and	CCONJ
ejpam-3319	135	11	lemma	lemma	PROPN
ejpam-3319	135	12	4	4	NUM
ejpam-3319	135	13	and	and	CCONJ
ejpam-3319	135	14	properties	property	NOUN
ejpam-3319	135	15	of	of	ADP
ejpam-3319	135	16	inverses	inverse	NOUN
ejpam-3319	135	17	in	in	ADP
ejpam-3319	135	18	the	the	DET
ejpam-3319	135	19	convolution	convolution	NOUN
ejpam-3319	135	20	algebra	algebra	NOUN
ejpam-3319	135	21	,	,	PUNCT
ejpam-3319	135	22	we	we	PRON
ejpam-3319	135	23	obtain	obtain	VERB
ejpam-3319	135	24	fb,−2t(a	fb,−2t(a	PROPN
ejpam-3319	135	25	,	,	PUNCT
ejpam-3319	135	26	m	m	NOUN
ejpam-3319	135	27	)	)	PUNCT
ejpam-3319	135	28	∗	∗	NOUN
ejpam-3319	135	29	t	t	NOUN
ejpam-3319	135	30	(	(	PUNCT
ejpam-3319	135	31	a	a	PRON
ejpam-3319	135	32	,	,	PUNCT
ejpam-3319	135	33	m	m	NOUN
ejpam-3319	135	34	)	)	PUNCT
ejpam-3319	135	35	=	=	SYM
ejpam-3319	135	36	δ	δ	PROPN
ejpam-3319	135	37	∗hb,2t(a	∗hb,2t(a	PROPN
ejpam-3319	135	38	,	,	PUNCT
ejpam-3319	135	39	m	m	NOUN
ejpam-3319	135	40	)	)	PUNCT
ejpam-3319	135	41	=	=	SYM
ejpam-3319	136	1	hb,2t(a	hb,2t(a	PROPN
ejpam-3319	136	2	,	,	PUNCT
ejpam-3319	136	3	m	m	PRON
ejpam-3319	136	4	)	)	PUNCT
ejpam-3319	136	5	is	be	AUX
ejpam-3319	136	6	an	an	DET
ejpam-3319	136	7	elementary	elementary	ADJ
ejpam-3319	136	8	solution	solution	NOUN
ejpam-3319	136	9	of	of	ADP
ejpam-3319	136	10	the	the	DET
ejpam-3319	136	11	bessel	bessel	NOUN
ejpam-3319	136	12	-	-	PUNCT
ejpam-3319	136	13	helmhotz	helmhotz	NOUN
ejpam-3319	136	14	operator	operator	NOUN
ejpam-3319	136	15	iterated	iterate	VERB
ejpam-3319	136	16	t	t	PROPN
ejpam-3319	136	17	-	-	PUNCT
ejpam-3319	136	18	times	time	NOUN
ejpam-3319	136	19	defined	define	VERB
ejpam-3319	136	20	by	by	ADP
ejpam-3319	136	21	(	(	PUNCT
ejpam-3319	136	22	6	6	NUM
ejpam-3319	136	23	)	)	PUNCT
ejpam-3319	136	24	.	.	PUNCT
ejpam-3319	137	1	in	in	ADP
ejpam-3319	137	2	particular	particular	ADJ
ejpam-3319	137	3	,	,	PUNCT
ejpam-3319	137	4	for	for	ADP
ejpam-3319	137	5	q	q	NOUN
ejpam-3319	137	6	=	=	SYM
ejpam-3319	137	7	0	0	NUM
ejpam-3319	137	8	then	then	ADV
ejpam-3319	137	9	(	(	PUNCT
ejpam-3319	137	10	17	17	NUM
ejpam-3319	137	11	)	)	PUNCT
ejpam-3319	137	12	becomes	become	VERB
ejpam-3319	137	13	(	(	PUNCT
ejpam-3319	137	14	4b	4b	X
ejpam-3319	137	15	,	,	PUNCT
ejpam-3319	137	16	p	p	PROPN
ejpam-3319	137	17	+	+	PROPN
ejpam-3319	137	18	m2	m2	PROPN
ejpam-3319	137	19	)	)	PUNCT
ejpam-3319	137	20	2	2	NUM
ejpam-3319	137	21	t	t	NOUN
ejpam-3319	137	22	t	t	NOUN
ejpam-3319	137	23	(	(	PUNCT
ejpam-3319	137	24	a	a	PRON
ejpam-3319	137	25	,	,	PUNCT
ejpam-3319	137	26	m	m	NOUN
ejpam-3319	137	27	)	)	PUNCT
ejpam-3319	137	28	=	=	SYM
ejpam-3319	137	29	δ	δ	PROPN
ejpam-3319	137	30	(	(	PUNCT
ejpam-3319	137	31	24	24	NUM
ejpam-3319	137	32	)	)	PUNCT
ejpam-3319	137	33	where	where	SCONJ
ejpam-3319	137	34	(	(	PUNCT
ejpam-3319	137	35	4b	4b	X
ejpam-3319	137	36	,	,	PUNCT
ejpam-3319	137	37	p	p	PROPN
ejpam-3319	137	38	+	+	PROPN
ejpam-3319	137	39	m2	m2	PROPN
ejpam-3319	137	40	)	)	PUNCT
ejpam-3319	137	41	2	2	NUM
ejpam-3319	137	42	t	t	NOUN
ejpam-3319	137	43	is	be	AUX
ejpam-3319	137	44	the	the	DET
ejpam-3319	137	45	bessel	bessel	NOUN
ejpam-3319	137	46	-	-	PUNCT
ejpam-3319	137	47	helmholtz	helmholtz	NOUN
ejpam-3319	137	48	operator	operator	NOUN
ejpam-3319	137	49	of	of	ADP
ejpam-3319	137	50	p	p	NOUN
ejpam-3319	137	51	-	-	PUNCT
ejpam-3319	137	52	dimension	dimension	NOUN
ejpam-3319	137	53	,	,	PUNCT
ejpam-3319	137	54	iterated	iterate	VERB
ejpam-3319	137	55	2t	2t	NOUN
ejpam-3319	137	56	-	-	PUNCT
ejpam-3319	137	57	times	time	NOUN
ejpam-3319	137	58	and	and	CCONJ
ejpam-3319	137	59	is	be	AUX
ejpam-3319	137	60	defined	define	VERB
ejpam-3319	137	61	by	by	ADP
ejpam-3319	137	62	(	(	PUNCT
ejpam-3319	137	63	8)	8)	NUM
ejpam-3319	137	64	.	.	PUNCT
ejpam-3319	137	65	by	by	ADP
ejpam-3319	137	66	lemma	lemma	PROPN
ejpam-3319	137	67	5	5	NUM
ejpam-3319	137	68	,	,	PUNCT
ejpam-3319	137	69	we	we	PRON
ejpam-3319	137	70	have	have	VERB
ejpam-3319	137	71	t	t	NOUN
ejpam-3319	137	72	(	(	PUNCT
ejpam-3319	137	73	a	a	PRON
ejpam-3319	137	74	,	,	PUNCT
ejpam-3319	137	75	m	m	NOUN
ejpam-3319	137	76	)	)	PUNCT
ejpam-3319	137	77	=	=	SYM
ejpam-3319	138	1	hb,4t(a	hb,4t(a	PROPN
ejpam-3319	138	2	,	,	PUNCT
ejpam-3319	138	3	m	m	NOUN
ejpam-3319	138	4	)	)	PUNCT
ejpam-3319	138	5	(	(	PUNCT
ejpam-3319	138	6	25	25	NUM
ejpam-3319	138	7	)	)	PUNCT
ejpam-3319	138	8	is	be	AUX
ejpam-3319	138	9	an	an	DET
ejpam-3319	138	10	elementary	elementary	ADJ
ejpam-3319	138	11	solution	solution	NOUN
ejpam-3319	138	12	of	of	ADP
ejpam-3319	138	13	(	(	PUNCT
ejpam-3319	138	14	17	17	NUM
ejpam-3319	138	15	)	)	PUNCT
ejpam-3319	138	16	.	.	PUNCT
ejpam-3319	139	1	this	this	PRON
ejpam-3319	139	2	completes	complete	VERB
ejpam-3319	139	3	the	the	DET
ejpam-3319	139	4	proof	proof	NOUN
ejpam-3319	139	5	.	.	PUNCT
ejpam-3319	140	1	corollary	corollary	ADJ
ejpam-3319	140	2	1	1	NUM
ejpam-3319	140	3	.	.	PUNCT
ejpam-3319	140	4	given	give	VERB
ejpam-3319	140	5	the	the	DET
ejpam-3319	140	6	equation	equation	NOUN
ejpam-3319	140	7	�	�	PROPN
ejpam-3319	140	8	tbt	tbt	PROPN
ejpam-3319	140	9	(	(	PUNCT
ejpam-3319	140	10	a	a	PRON
ejpam-3319	140	11	,	,	PUNCT
ejpam-3319	140	12	0	0	NUM
ejpam-3319	140	13	)	)	PUNCT
ejpam-3319	141	1	=	=	SYM
ejpam-3319	141	2	δ	δ	PROPN
ejpam-3319	141	3	(	(	PUNCT
ejpam-3319	141	4	26	26	NUM
ejpam-3319	141	5	)	)	PUNCT
ejpam-3319	141	6	for	for	ADP
ejpam-3319	141	7	a	a	DET
ejpam-3319	141	8	∈	∈	PROPN
ejpam-3319	141	9	r+	r+	NOUN
ejpam-3319	141	10	n	n	PRON
ejpam-3319	141	11	,	,	PUNCT
ejpam-3319	141	12	where	where	SCONJ
ejpam-3319	141	13	�	�	NOUN
ejpam-3319	141	14	tb	tb	X
ejpam-3319	141	15	is	be	AUX
ejpam-3319	141	16	the	the	DET
ejpam-3319	141	17	bessel	bessel	ADJ
ejpam-3319	141	18	operator	operator	NOUN
ejpam-3319	141	19	iterated	iterate	VERB
ejpam-3319	141	20	t	t	PROPN
ejpam-3319	141	21	-	-	PUNCT
ejpam-3319	141	22	times	time	NOUN
ejpam-3319	141	23	defined	define	VERB
ejpam-3319	141	24	by	by	ADP
ejpam-3319	141	25	(	(	PUNCT
ejpam-3319	141	26	5	5	NUM
ejpam-3319	141	27	)	)	PUNCT
ejpam-3319	141	28	,	,	PUNCT
ejpam-3319	141	29	then	then	ADV
ejpam-3319	141	30	t	t	PROPN
ejpam-3319	141	31	(	(	PUNCT
ejpam-3319	141	32	a	a	PRON
ejpam-3319	141	33	,	,	PUNCT
ejpam-3319	141	34	0	0	NUM
ejpam-3319	141	35	)	)	PUNCT
ejpam-3319	141	36	=	=	PRON
ejpam-3319	141	37	(	(	PUNCT
ejpam-3319	141	38	−1)ts2t(a	−1)ts2t(a	NOUN
ejpam-3319	141	39	)	)	PUNCT
ejpam-3319	141	40	∗r2t(a	∗r2t(a	NOUN
ejpam-3319	141	41	)	)	PUNCT
ejpam-3319	141	42	(	(	PUNCT
ejpam-3319	141	43	27	27	NUM
ejpam-3319	141	44	)	)	PUNCT
ejpam-3319	141	45	is	be	AUX
ejpam-3319	141	46	an	an	DET
ejpam-3319	141	47	elementary	elementary	ADJ
ejpam-3319	141	48	solution	solution	NOUN
ejpam-3319	141	49	of	of	ADP
ejpam-3319	141	50	bessel	bessel	ADJ
ejpam-3319	141	51	diamond	diamond	NOUN
ejpam-3319	141	52	operator	operator	NOUN
ejpam-3319	141	53	,	,	PUNCT
ejpam-3319	141	54	where	where	SCONJ
ejpam-3319	141	55	r2t(a	r2t(a	PROPN
ejpam-3319	141	56	)	)	PUNCT
ejpam-3319	141	57	and	and	CCONJ
ejpam-3319	141	58	s2t(a	s2t(a	PROPN
ejpam-3319	141	59	)	)	PUNCT
ejpam-3319	141	60	are	be	AUX
ejpam-3319	141	61	defined	define	VERB
ejpam-3319	141	62	by	by	ADP
ejpam-3319	141	63	(	(	PUNCT
ejpam-3319	141	64	10	10	NUM
ejpam-3319	141	65	)	)	PUNCT
ejpam-3319	141	66	and	and	CCONJ
ejpam-3319	141	67	(	(	PUNCT
ejpam-3319	141	68	12	12	NUM
ejpam-3319	141	69	)	)	PUNCT
ejpam-3319	141	70	,	,	PUNCT
ejpam-3319	141	71	respectively	respectively	ADV
ejpam-3319	141	72	.	.	PUNCT
ejpam-3319	142	1	proof	proof	NOUN
ejpam-3319	142	2	.	.	PUNCT
ejpam-3319	143	1	if	if	SCONJ
ejpam-3319	143	2	m	m	ADV
ejpam-3319	143	3	=	=	SYM
ejpam-3319	143	4	0	0	NUM
ejpam-3319	143	5	,	,	PUNCT
ejpam-3319	143	6	then	then	ADV
ejpam-3319	143	7	we	we	PRON
ejpam-3319	143	8	have	have	VERB
ejpam-3319	143	9	t	t	NOUN
ejpam-3319	143	10	(	(	PUNCT
ejpam-3319	143	11	a	a	PRON
ejpam-3319	143	12	,	,	PUNCT
ejpam-3319	143	13	0	0	NUM
ejpam-3319	143	14	)	)	PUNCT
ejpam-3319	144	1	=	=	PRON
ejpam-3319	144	2	(	(	PUNCT
ejpam-3319	144	3	−1)ts2t(a	−1)ts2t(a	NOUN
ejpam-3319	144	4	)	)	PUNCT
ejpam-3319	144	5	∗	∗	NOUN
ejpam-3319	144	6	r2t(a	r2t(a	PROPN
ejpam-3319	144	7	)	)	PUNCT
ejpam-3319	144	8	yielding	yield	VERB
ejpam-3319	144	9	the	the	DET
ejpam-3319	144	10	result	result	NOUN
ejpam-3319	144	11	,	,	PUNCT
ejpam-3319	144	12	,	,	PUNCT
ejpam-3319	144	13	see	see	VERB
ejpam-3319	144	14	[	[	X
ejpam-3319	144	15	7	7	NUM
ejpam-3319	144	16	]	]	PUNCT
ejpam-3319	144	17	.	.	PUNCT
ejpam-3319	145	1	references	reference	NOUN
ejpam-3319	145	2	928	928	NUM
ejpam-3319	145	3	acknowledgements	acknowledgement	NOUN
ejpam-3319	145	4	the	the	DET
ejpam-3319	145	5	author	author	NOUN
ejpam-3319	145	6	would	would	AUX
ejpam-3319	145	7	like	like	VERB
ejpam-3319	145	8	to	to	PART
ejpam-3319	145	9	thank	thank	VERB
ejpam-3319	145	10	the	the	DET
ejpam-3319	145	11	referee	referee	NOUN
ejpam-3319	145	12	for	for	ADP
ejpam-3319	145	13	his	his	PRON
ejpam-3319	145	14	suggestions	suggestion	NOUN
ejpam-3319	145	15	which	which	PRON
ejpam-3319	145	16	enhanced	enhance	VERB
ejpam-3319	145	17	the	the	DET
ejpam-3319	145	18	presentation	presentation	NOUN
ejpam-3319	145	19	of	of	ADP
ejpam-3319	145	20	the	the	DET
ejpam-3319	145	21	paper	paper	NOUN
ejpam-3319	145	22	.	.	PUNCT
ejpam-3319	146	1	the	the	DET
ejpam-3319	146	2	author	author	NOUN
ejpam-3319	146	3	was	be	AUX
ejpam-3319	146	4	supported	support	VERB
ejpam-3319	146	5	by	by	ADP
ejpam-3319	146	6	sakon	sakon	PROPN
ejpam-3319	146	7	nakhon	nakhon	PROPN
ejpam-3319	146	8	rajabhat	rajabhat	PROPN
ejpam-3319	146	9	university	university	PROPN
ejpam-3319	146	10	.	.	PUNCT
ejpam-3319	147	1	references	reference	NOUN
ejpam-3319	147	2	[	[	X
ejpam-3319	147	3	1	1	NUM
ejpam-3319	147	4	]	]	PUNCT
ejpam-3319	147	5	a.	a.	NOUN
ejpam-3319	147	6	kananthai	kananthai	PROPN
ejpam-3319	147	7	,	,	PUNCT
ejpam-3319	147	8	on	on	ADP
ejpam-3319	147	9	the	the	DET
ejpam-3319	147	10	convolution	convolution	NOUN
ejpam-3319	147	11	equation	equation	NOUN
ejpam-3319	147	12	related	relate	VERB
ejpam-3319	147	13	to	to	ADP
ejpam-3319	147	14	the	the	DET
ejpam-3319	147	15	diamond	diamond	NOUN
ejpam-3319	147	16	kernel	kernel	NOUN
ejpam-3319	147	17	of	of	ADP
ejpam-3319	147	18	marcel	marcel	PROPN
ejpam-3319	147	19	riesz	riesz	PROPN
ejpam-3319	147	20	,	,	PUNCT
ejpam-3319	147	21	appl	appl	PROPN
ejpam-3319	147	22	.	.	PROPN
ejpam-3319	147	23	math	math	NOUN
ejpam-3319	147	24	.	.	PUNCT
ejpam-3319	148	1	comput	comput	NOUN
ejpam-3319	148	2	.	.	PUNCT
ejpam-3319	149	1	114	114	NUM
ejpam-3319	149	2	(	(	PUNCT
ejpam-3319	149	3	1998	1998	NUM
ejpam-3319	149	4	)	)	PUNCT
ejpam-3319	149	5	,	,	PUNCT
ejpam-3319	150	1	95–101	95–101	PRON
ejpam-3319	150	2	.	.	PUNCT
ejpam-3319	151	1	[	[	X
ejpam-3319	151	2	2	2	NUM
ejpam-3319	151	3	]	]	X
ejpam-3319	151	4	b.m	b.m	PROPN
ejpam-3319	151	5	.	.	PROPN
ejpam-3319	151	6	levitan	levitan	PROPN
ejpam-3319	151	7	,	,	PUNCT
ejpam-3319	151	8	expansion	expansion	NOUN
ejpam-3319	151	9	in	in	ADP
ejpam-3319	151	10	fourier	fourier	ADJ
ejpam-3319	151	11	series	series	NOUN
ejpam-3319	151	12	and	and	CCONJ
ejpam-3319	151	13	integrals	integral	NOUN
ejpam-3319	151	14	with	with	ADP
ejpam-3319	151	15	bessel	bessel	ADJ
ejpam-3319	151	16	functions	function	NOUN
ejpam-3319	151	17	,	,	PUNCT
ejpam-3319	151	18	uspeki	uspeki	VERB
ejpam-3319	151	19	mat	mat	NOUN
ejpam-3319	151	20	.	.	PROPN
ejpam-3319	151	21	,	,	PUNCT
ejpam-3319	151	22	nauka	nauka	PROPN
ejpam-3319	151	23	(	(	PUNCT
ejpam-3319	151	24	n.s	n.s	PROPN
ejpam-3319	151	25	.	.	PROPN
ejpam-3319	151	26	)	)	PUNCT
ejpam-3319	151	27	6,2(42)(1951	6,2(42)(1951	NUM
ejpam-3319	151	28	)	)	PUNCT
ejpam-3319	151	29	102	102	NUM
ejpam-3319	151	30	-	-	SYM
ejpam-3319	151	31	143	143	NUM
ejpam-3319	151	32	(	(	PUNCT
ejpam-3319	151	33	in	in	ADP
ejpam-3319	151	34	russian	russian	NOUN
ejpam-3319	151	35	)	)	PUNCT
ejpam-3319	151	36	.	.	PUNCT
ejpam-3319	152	1	[	[	X
ejpam-3319	152	2	3	3	NUM
ejpam-3319	152	3	]	]	PUNCT
ejpam-3319	152	4	a.	a.	NOUN
ejpam-3319	152	5	kananthai	kananthai	PROPN
ejpam-3319	152	6	,	,	PUNCT
ejpam-3319	152	7	on	on	ADP
ejpam-3319	152	8	the	the	DET
ejpam-3319	152	9	convolution	convolution	NOUN
ejpam-3319	152	10	equation	equation	NOUN
ejpam-3319	152	11	related	relate	VERB
ejpam-3319	152	12	to	to	ADP
ejpam-3319	152	13	the	the	DET
ejpam-3319	152	14	n	n	CCONJ
ejpam-3319	152	15	-dimensional	-dimensional	ADJ
ejpam-3319	152	16	ultrahyperbolic	ultrahyperbolic	ADJ
ejpam-3319	152	17	operator	operator	NOUN
ejpam-3319	152	18	,	,	PUNCT
ejpam-3319	152	19	j.	j.	PROPN
ejpam-3319	152	20	comp	comp	PROPN
ejpam-3319	152	21	.	.	PUNCT
ejpam-3319	153	1	appl	appl	PROPN
ejpam-3319	153	2	.	.	PROPN
ejpam-3319	153	3	math	math	NOUN
ejpam-3319	153	4	.	.	PUNCT
ejpam-3319	154	1	115	115	NUM
ejpam-3319	154	2	(	(	PUNCT
ejpam-3319	154	3	2000	2000	NUM
ejpam-3319	154	4	)	)	PUNCT
ejpam-3319	154	5	,	,	PUNCT
ejpam-3319	154	6	301–308	301–308	NUM
ejpam-3319	154	7	.	.	PUNCT
ejpam-3319	155	1	[	[	X
ejpam-3319	155	2	4	4	NUM
ejpam-3319	155	3	]	]	PUNCT
ejpam-3319	155	4	a.	a.	NOUN
ejpam-3319	155	5	h.	h.	PROPN
ejpam-3319	155	6	zemanian	zemanian	PROPN
ejpam-3319	155	7	,	,	PUNCT
ejpam-3319	155	8	distribution	distribution	NOUN
ejpam-3319	155	9	theory	theory	NOUN
ejpam-3319	155	10	and	and	CCONJ
ejpam-3319	155	11	transform	transform	VERB
ejpam-3319	155	12	analysis	analysis	NOUN
ejpam-3319	155	13	,	,	PUNCT
ejpam-3319	155	14	new	new	PROPN
ejpam-3319	155	15	york	york	PROPN
ejpam-3319	155	16	,	,	PUNCT
ejpam-3319	155	17	mcgrawhill	mcgrawhill	NOUN
ejpam-3319	155	18	,	,	PUNCT
ejpam-3319	155	19	1964	1964	NUM
ejpam-3319	155	20	.	.	PUNCT
ejpam-3319	156	1	[	[	X
ejpam-3319	156	2	5	5	NUM
ejpam-3319	156	3	]	]	PUNCT
ejpam-3319	156	4	c.	c.	PROPN
ejpam-3319	156	5	bunpog	bunpog	PROPN
ejpam-3319	156	6	,	,	PUNCT
ejpam-3319	156	7	nonlinear	nonlinear	ADJ
ejpam-3319	156	8	lk1	lk1	ADJ
ejpam-3319	156	9	operator	operator	NOUN
ejpam-3319	156	10	related	relate	VERB
ejpam-3319	156	11	to	to	ADP
ejpam-3319	156	12	the	the	DET
ejpam-3319	156	13	bessel	bessel	NOUN
ejpam-3319	156	14	-	-	PUNCT
ejpam-3319	156	15	helmholtz	helmholtz	NOUN
ejpam-3319	156	16	operator	operator	NOUN
ejpam-3319	156	17	and	and	CCONJ
ejpam-3319	156	18	the	the	DET
ejpam-3319	156	19	bessel	bessel	NOUN
ejpam-3319	156	20	klein	klein	PROPN
ejpam-3319	156	21	-	-	PUNCT
ejpam-3319	156	22	gordon	gordon	PROPN
ejpam-3319	156	23	operator	operator	NOUN
ejpam-3319	156	24	,	,	PUNCT
ejpam-3319	156	25	int	int	NOUN
ejpam-3319	156	26	.	.	PUNCT
ejpam-3319	156	27	journal	journal	PROPN
ejpam-3319	156	28	of	of	ADP
ejpam-3319	156	29	math	math	NOUN
ejpam-3319	156	30	.	.	PUNCT
ejpam-3319	157	1	6	6	NUM
ejpam-3319	157	2	(	(	PUNCT
ejpam-3319	157	3	28	28	NUM
ejpam-3319	157	4	)	)	PUNCT
ejpam-3319	157	5	(	(	PUNCT
ejpam-3319	157	6	2012	2012	NUM
ejpam-3319	157	7	)	)	PUNCT
ejpam-3319	157	8	,	,	PUNCT
ejpam-3319	157	9	1395–1402	1395–1402	NUM
ejpam-3319	157	10	.	.	PUNCT
ejpam-3319	158	1	[	[	X
ejpam-3319	158	2	6	6	NUM
ejpam-3319	158	3	]	]	X
ejpam-3319	158	4	daniel	daniel	PROPN
ejpam-3319	158	5	eceizabarrena	eceizabarrena	PROPN
ejpam-3319	158	6	pérez	pérez	PROPN
ejpam-3319	158	7	,	,	PUNCT
ejpam-3319	158	8	distribution	distribution	NOUN
ejpam-3319	158	9	theory	theory	NOUN
ejpam-3319	158	10	and	and	CCONJ
ejpam-3319	158	11	fundamental	fundamental	ADJ
ejpam-3319	158	12	solutions	solution	NOUN
ejpam-3319	158	13	of	of	ADP
ejpam-3319	158	14	differential	differential	ADJ
ejpam-3319	158	15	operators	operator	NOUN
ejpam-3319	158	16	,	,	PUNCT
ejpam-3319	158	17	leioa	leioa	PROPN
ejpam-3319	158	18	,	,	PUNCT
ejpam-3319	158	19	june	june	PROPN
ejpam-3319	158	20	24th	24th	NOUN
ejpam-3319	158	21	,	,	PUNCT
ejpam-3319	158	22	2015	2015	NUM
ejpam-3319	158	23	.	.	PUNCT
ejpam-3319	159	1	[	[	X
ejpam-3319	159	2	7	7	X
ejpam-3319	159	3	]	]	X
ejpam-3319	159	4	h.	h.	PROPN
ejpam-3319	159	5	yildirim	yildirim	PROPN
ejpam-3319	159	6	,	,	PUNCT
ejpam-3319	159	7	m.z	m.z	PROPN
ejpam-3319	159	8	.	.	PROPN
ejpam-3319	159	9	sarikaya	sarikaya	PROPN
ejpam-3319	159	10	,	,	PUNCT
ejpam-3319	159	11	s.	s.	PROPN
ejpam-3319	159	12	and	and	CCONJ
ejpam-3319	159	13	ozturk	ozturk	PROPN
ejpam-3319	159	14	,	,	PUNCT
ejpam-3319	159	15	the	the	DET
ejpam-3319	159	16	solution	solution	NOUN
ejpam-3319	159	17	of	of	ADP
ejpam-3319	159	18	the	the	DET
ejpam-3319	159	19	n	n	ADV
ejpam-3319	159	20	-	-	PUNCT
ejpam-3319	159	21	dimensional	dimensional	ADJ
ejpam-3319	159	22	bessel	bessel	ADJ
ejpam-3319	159	23	diamond	diamond	NOUN
ejpam-3319	159	24	operator	operator	NOUN
ejpam-3319	159	25	and	and	CCONJ
ejpam-3319	159	26	the	the	DET
ejpam-3319	159	27	fourier	fourier	ADJ
ejpam-3319	159	28	-	-	PUNCT
ejpam-3319	159	29	bessel	bessel	NOUN
ejpam-3319	159	30	transform	transform	NOUN
ejpam-3319	159	31	of	of	ADP
ejpam-3319	159	32	their	their	PRON
ejpam-3319	159	33	convolution	convolution	NOUN
ejpam-3319	159	34	,	,	PUNCT
ejpam-3319	159	35	proc	proc	NOUN
ejpam-3319	159	36	.	.	PUNCT
ejpam-3319	160	1	indian	indian	PROPN
ejpam-3319	160	2	acad	acad	PROPN
ejpam-3319	160	3	.	.	PUNCT
ejpam-3319	161	1	sci	sci	PROPN
ejpam-3319	161	2	.	.	PUNCT
ejpam-3319	162	1	(	(	PUNCT
ejpam-3319	162	2	math	math	NOUN
ejpam-3319	162	3	.	.	PUNCT
ejpam-3319	163	1	sci	sci	PROPN
ejpam-3319	163	2	.	.	PUNCT
ejpam-3319	163	3	)	)	PUNCT
ejpam-3319	164	1	114	114	NUM
ejpam-3319	164	2	(	(	PUNCT
ejpam-3319	164	3	4	4	NUM
ejpam-3319	164	4	)	)	PUNCT
ejpam-3319	164	5	(	(	PUNCT
ejpam-3319	164	6	2004	2004	NUM
ejpam-3319	164	7	)	)	PUNCT
ejpam-3319	164	8	,	,	PUNCT
ejpam-3319	164	9	375–387	375–387	NUM
ejpam-3319	164	10	.	.	PUNCT
ejpam-3319	165	1	[	[	X
ejpam-3319	165	2	8	8	NUM
ejpam-3319	165	3	]	]	X
ejpam-3319	165	4	i.m	i.m	PROPN
ejpam-3319	165	5	.	.	PROPN
ejpam-3319	165	6	gelfand	gelfand	PROPN
ejpam-3319	165	7	,	,	PUNCT
ejpam-3319	165	8	and	and	CCONJ
ejpam-3319	165	9	g.e	g.e	PROPN
ejpam-3319	165	10	.	.	PROPN
ejpam-3319	165	11	shilov	shilov	PROPN
ejpam-3319	165	12	,	,	PUNCT
ejpam-3319	165	13	generalized	generalized	ADJ
ejpam-3319	165	14	function	function	NOUN
ejpam-3319	165	15	,	,	PUNCT
ejpam-3319	165	16	new	new	PROPN
ejpam-3319	165	17	york	york	PROPN
ejpam-3319	165	18	,	,	PUNCT
ejpam-3319	165	19	academic	academic	ADJ
ejpam-3319	165	20	press	press	NOUN
ejpam-3319	165	21	,	,	PUNCT
ejpam-3319	165	22	1964	1964	NUM
ejpam-3319	165	23	.	.	PUNCT
ejpam-3319	166	1	[	[	X
ejpam-3319	166	2	9	9	NUM
ejpam-3319	166	3	]	]	PUNCT
ejpam-3319	166	4	s.	s.	PROPN
ejpam-3319	166	5	niyom	niyom	PROPN
ejpam-3319	166	6	,	,	PUNCT
ejpam-3319	166	7	and	and	CCONJ
ejpam-3319	166	8	a.	a.	NOUN
ejpam-3319	166	9	kananthai	kananthai	PROPN
ejpam-3319	166	10	,	,	PUNCT
ejpam-3319	166	11	the	the	DET
ejpam-3319	166	12	nonlinear	nonlinear	ADJ
ejpam-3319	166	13	product	product	NOUN
ejpam-3319	166	14	of	of	ADP
ejpam-3319	166	15	the	the	DET
ejpam-3319	166	16	bessel	bessel	ADJ
ejpam-3319	166	17	laplace	laplace	NOUN
ejpam-3319	166	18	operator	operator	NOUN
ejpam-3319	166	19	and	and	CCONJ
ejpam-3319	166	20	the	the	DET
ejpam-3319	166	21	bessel	bessel	ADJ
ejpam-3319	166	22	helmholtz	helmholtz	NOUN
ejpam-3319	166	23	operator	operator	NOUN
ejpam-3319	166	24	,	,	PUNCT
ejpam-3319	166	25	applied	apply	VERB
ejpam-3319	166	26	mathematical	mathematical	ADJ
ejpam-3319	166	27	sciences	science	NOUN
ejpam-3319	166	28	4	4	NUM
ejpam-3319	166	29	(	(	PUNCT
ejpam-3319	166	30	36	36	NUM
ejpam-3319	166	31	)	)	PUNCT
ejpam-3319	166	32	(	(	PUNCT
ejpam-3319	166	33	2010	2010	NUM
ejpam-3319	166	34	)	)	PUNCT
ejpam-3319	166	35	,	,	PUNCT
ejpam-3319	166	36	1797–1804	1797–1804	NUM
ejpam-3319	166	37	.	.	PUNCT
ejpam-3319	167	1	[	[	X
ejpam-3319	167	2	10	10	NUM
ejpam-3319	167	3	]	]	X
ejpam-3319	167	4	w.	w.	PROPN
ejpam-3319	167	5	f.	f.	PROPN
ejpam-3319	167	6	donoghue	donoghue	PROPN
ejpam-3319	167	7	,	,	PUNCT
ejpam-3319	167	8	distribution	distribution	NOUN
ejpam-3319	167	9	and	and	CCONJ
ejpam-3319	167	10	fourier	fourier	NOUN
ejpam-3319	167	11	transform	transform	NOUN
ejpam-3319	167	12	,	,	PUNCT
ejpam-3319	167	13	new	new	PROPN
ejpam-3319	167	14	york	york	PROPN
ejpam-3319	167	15	,	,	PUNCT
ejpam-3319	167	16	academic	academic	ADJ
ejpam-3319	167	17	press	press	NOUN
ejpam-3319	167	18	,	,	PUNCT
ejpam-3319	167	19	1969	1969	NUM
ejpam-3319	167	20	.	.	PUNCT