id	sid	tid	token	lemma	pos
ejpam-1980	1	1	compile	compile	NOUN
ejpam-1980	1	2	/	/	SYM
ejpam-1980	1	3	output.dvi	output.dvi	NOUN
ejpam-1980	1	4	european	european	ADJ
ejpam-1980	1	5	journal	journal	NOUN
ejpam-1980	1	6	of	of	ADP
ejpam-1980	1	7	pure	pure	ADJ
ejpam-1980	1	8	and	and	CCONJ
ejpam-1980	1	9	applied	apply	VERB
ejpam-1980	1	10	mathematics	mathematic	NOUN
ejpam-1980	1	11	vol	vol	NOUN
ejpam-1980	1	12	.	.	PROPN
ejpam-1980	1	13	8	8	NUM
ejpam-1980	1	14	,	,	PUNCT
ejpam-1980	1	15	no	no	INTJ
ejpam-1980	1	16	.	.	NOUN
ejpam-1980	1	17	3	3	NUM
ejpam-1980	1	18	,	,	PUNCT
ejpam-1980	1	19	2015	2015	NUM
ejpam-1980	1	20	,	,	PUNCT
ejpam-1980	1	21	368	368	NUM
ejpam-1980	1	22	-	-	SYM
ejpam-1980	1	23	374	374	NUM
ejpam-1980	1	24	issn	issn	PROPN
ejpam-1980	1	25	1307	1307	NUM
ejpam-1980	1	26	-	-	SYM
ejpam-1980	1	27	5543	5543	NUM
ejpam-1980	1	28	–	–	PUNCT
ejpam-1980	1	29	www.ejpam.com	www.ejpam.com	X
ejpam-1980	1	30	a	a	DET
ejpam-1980	1	31	generalization	generalization	NOUN
ejpam-1980	1	32	of	of	ADP
ejpam-1980	1	33	the	the	DET
ejpam-1980	1	34	calderón	calderón	NOUN
ejpam-1980	1	35	admissibility	admissibility	NOUN
ejpam-1980	1	36	condition	condition	NOUN
ejpam-1980	1	37	ali	ali	PROPN
ejpam-1980	1	38	akbar	akbar	PROPN
ejpam-1980	1	39	arefijamaal1,∗	arefijamaal1,∗	PROPN
ejpam-1980	1	40	,	,	PUNCT
ejpam-1980	1	41	mehdi	mehdi	NOUN
ejpam-1980	1	42	mohammadzadeh	mohammadzadeh	NOUN
ejpam-1980	1	43	karizaki2	karizaki2	PROPN
ejpam-1980	1	44	1	1	NUM
ejpam-1980	1	45	department	department	NOUN
ejpam-1980	1	46	of	of	ADP
ejpam-1980	1	47	mathematics	mathematics	PROPN
ejpam-1980	1	48	and	and	CCONJ
ejpam-1980	1	49	computer	computer	NOUN
ejpam-1980	1	50	sciences	sciences	PROPN
ejpam-1980	1	51	,	,	PUNCT
ejpam-1980	1	52	hakim	hakim	PROPN
ejpam-1980	1	53	sabzevari	sabzevari	PROPN
ejpam-1980	1	54	university	university	PROPN
ejpam-1980	1	55	,	,	PUNCT
ejpam-1980	1	56	sabzevar	sabzevar	PROPN
ejpam-1980	1	57	,	,	PUNCT
ejpam-1980	1	58	iran	iran	PROPN
ejpam-1980	1	59	2	2	NUM
ejpam-1980	1	60	kashmar	kashmar	PROPN
ejpam-1980	1	61	higher	high	ADJ
ejpam-1980	1	62	education	education	PROPN
ejpam-1980	1	63	institute	institute	PROPN
ejpam-1980	1	64	,	,	PUNCT
ejpam-1980	1	65	kashmar	kashmar	PROPN
ejpam-1980	1	66	,	,	PUNCT
ejpam-1980	1	67	iran	iran	PROPN
ejpam-1980	1	68	abstract	abstract	ADJ
ejpam-1980	1	69	.	.	PUNCT
ejpam-1980	2	1	many	many	ADJ
ejpam-1980	2	2	authors	author	NOUN
ejpam-1980	2	3	have	have	AUX
ejpam-1980	2	4	been	be	AUX
ejpam-1980	2	5	considered	consider	VERB
ejpam-1980	2	6	several	several	ADJ
ejpam-1980	2	7	conditions	condition	NOUN
ejpam-1980	2	8	equivalent	equivalent	ADJ
ejpam-1980	2	9	to	to	ADP
ejpam-1980	2	10	the	the	DET
ejpam-1980	2	11	calderón	calderón	NOUN
ejpam-1980	2	12	admissibility	admissibility	NOUN
ejpam-1980	2	13	condition	condition	NOUN
ejpam-1980	2	14	.	.	PUNCT
ejpam-1980	3	1	in	in	ADP
ejpam-1980	3	2	this	this	DET
ejpam-1980	3	3	paper	paper	NOUN
ejpam-1980	3	4	,	,	PUNCT
ejpam-1980	3	5	we	we	PRON
ejpam-1980	3	6	review	review	VERB
ejpam-1980	3	7	these	these	DET
ejpam-1980	3	8	results	result	NOUN
ejpam-1980	3	9	and	and	CCONJ
ejpam-1980	3	10	give	give	VERB
ejpam-1980	3	11	a	a	DET
ejpam-1980	3	12	characterization	characterization	NOUN
ejpam-1980	3	13	of	of	ADP
ejpam-1980	3	14	generalized	generalize	VERB
ejpam-1980	3	15	calderón	calderón	NOUN
ejpam-1980	3	16	admissibility	admissibility	NOUN
ejpam-1980	3	17	condition	condition	NOUN
ejpam-1980	3	18	.	.	PUNCT
ejpam-1980	4	1	2010	2010	NUM
ejpam-1980	4	2	mathematics	mathematic	NOUN
ejpam-1980	4	3	subject	subject	NOUN
ejpam-1980	4	4	classifications	classification	NOUN
ejpam-1980	4	5	:	:	PUNCT
ejpam-1980	4	6	46c50	46c50	NUM
ejpam-1980	4	7	;	;	PUNCT
ejpam-1980	4	8	42c99	42c99	NUM
ejpam-1980	4	9	key	key	ADJ
ejpam-1980	4	10	words	word	NOUN
ejpam-1980	4	11	and	and	CCONJ
ejpam-1980	4	12	phrases	phrase	NOUN
ejpam-1980	4	13	:	:	PUNCT
ejpam-1980	4	14	calderón	calderón	NOUN
ejpam-1980	4	15	admissibility	admissibility	NOUN
ejpam-1980	4	16	condition	condition	NOUN
ejpam-1980	4	17	,	,	PUNCT
ejpam-1980	4	18	continuous	continuous	ADJ
ejpam-1980	4	19	wavelet	wavelet	NOUN
ejpam-1980	4	20	transform	transform	NOUN
ejpam-1980	4	21	,	,	PUNCT
ejpam-1980	4	22	semidirect	semidirect	NOUN
ejpam-1980	4	23	product	product	NOUN
ejpam-1980	4	24	1	1	NUM
ejpam-1980	4	25	.	.	PUNCT
ejpam-1980	5	1	introduction	introduction	NOUN
ejpam-1980	5	2	for	for	ADP
ejpam-1980	5	3	every	every	DET
ejpam-1980	5	4	ψ	ψ	X
ejpam-1980	5	5	∈	∈	PROPN
ejpam-1980	5	6	l2(r	l2(r	NOUN
ejpam-1980	5	7	)	)	PUNCT
ejpam-1980	5	8	the	the	DET
ejpam-1980	5	9	continuous	continuous	ADJ
ejpam-1980	5	10	wavelet	wavelet	NOUN
ejpam-1980	5	11	transform	transform	NOUN
ejpam-1980	5	12	(	(	PUNCT
ejpam-1980	5	13	cwt	cwt	NOUN
ejpam-1980	5	14	)	)	PUNCT
ejpam-1980	5	15	of	of	ADP
ejpam-1980	5	16	f	f	PROPN
ejpam-1980	5	17	∈	∈	PROPN
ejpam-1980	5	18	l2(r	l2(r	PROPN
ejpam-1980	5	19	)	)	PUNCT
ejpam-1980	5	20	is	be	AUX
ejpam-1980	5	21	given	give	VERB
ejpam-1980	5	22	by	by	ADP
ejpam-1980	5	23	(	(	PUNCT
ejpam-1980	5	24	wψ	wψ	ADP
ejpam-1980	5	25	f	f	PROPN
ejpam-1980	5	26	)	)	PUNCT
ejpam-1980	5	27	(	(	PUNCT
ejpam-1980	5	28	a	a	DET
ejpam-1980	5	29	,	,	PUNCT
ejpam-1980	5	30	b	b	NOUN
ejpam-1980	5	31	)	)	PUNCT
ejpam-1980	5	32	=	=	SYM
ejpam-1980	6	1	|a|	|a|	NOUN
ejpam-1980	6	2	−1	−1	NOUN
ejpam-1980	6	3	2	2	NUM
ejpam-1980	6	4	∫	∫	NOUN
ejpam-1980	6	5	r	r	NOUN
ejpam-1980	6	6	f	f	PROPN
ejpam-1980	6	7	(	(	PUNCT
ejpam-1980	6	8	x)ψ	x)ψ	X
ejpam-1980	6	9	(	(	PUNCT
ejpam-1980	6	10	x	x	SYM
ejpam-1980	6	11	−	−	PROPN
ejpam-1980	6	12	b	b	PROPN
ejpam-1980	6	13	a	a	NOUN
ejpam-1980	6	14	)	)	PUNCT
ejpam-1980	7	1	d	d	NOUN
ejpam-1980	7	2	x	x	X
ejpam-1980	7	3	,	,	PUNCT
ejpam-1980	7	4	(	(	PUNCT
ejpam-1980	7	5	a	a	DET
ejpam-1980	7	6	∈	∈	PROPN
ejpam-1980	7	7	r	r	NOUN
ejpam-1980	7	8	\	\	PUNCT
ejpam-1980	7	9	{	{	PUNCT
ejpam-1980	7	10	0	0	NUM
ejpam-1980	7	11	}	}	PUNCT
ejpam-1980	7	12	,	,	PUNCT
ejpam-1980	7	13	b	b	X
ejpam-1980	7	14	∈	∈	PROPN
ejpam-1980	7	15	r	r	NOUN
ejpam-1980	7	16	)	)	PUNCT
ejpam-1980	7	17	.	.	PUNCT
ejpam-1980	8	1	the	the	DET
ejpam-1980	8	2	mapping	mapping	NOUN
ejpam-1980	8	3	wψ	wψ	ADP
ejpam-1980	8	4	is	be	AUX
ejpam-1980	8	5	well	well	ADV
ejpam-1980	8	6	-	-	PUNCT
ejpam-1980	8	7	defined	define	VERB
ejpam-1980	8	8	if	if	SCONJ
ejpam-1980	8	9	ψ	ψ	PRON
ejpam-1980	8	10	satisfies	satisfy	VERB
ejpam-1980	8	11	the	the	DET
ejpam-1980	8	12	calderón	calderón	NOUN
ejpam-1980	8	13	admissibility	admissibility	NOUN
ejpam-1980	8	14	condition	condition	NOUN
ejpam-1980	8	15	∫	∫	PROPN
ejpam-1980	8	16	r\{0	r\{0	PROPN
ejpam-1980	8	17	}	}	PUNCT
ejpam-1980	8	18	|òψ(ξ)|2	|òψ(ξ)|2	NOUN
ejpam-1980	8	19	|ξ|	|ξ|	PROPN
ejpam-1980	8	20	dξ=	dξ=	PROPN
ejpam-1980	8	21	1	1	NUM
ejpam-1980	8	22	.	.	PUNCT
ejpam-1980	9	1	(	(	PUNCT
ejpam-1980	9	2	1	1	X
ejpam-1980	9	3	)	)	PUNCT
ejpam-1980	9	4	the	the	DET
ejpam-1980	9	5	generalization	generalization	NOUN
ejpam-1980	9	6	of	of	ADP
ejpam-1980	9	7	this	this	DET
ejpam-1980	9	8	construction	construction	NOUN
ejpam-1980	9	9	,	,	PUNCT
ejpam-1980	9	10	in	in	ADP
ejpam-1980	9	11	particular	particular	ADJ
ejpam-1980	9	12	to	to	ADP
ejpam-1980	9	13	higher	higher	ADV
ejpam-1980	9	14	-	-	PUNCT
ejpam-1980	9	15	dimensional	dimensional	ADJ
ejpam-1980	9	16	euclidean	euclidean	ADJ
ejpam-1980	9	17	space	space	NOUN
ejpam-1980	9	18	,	,	PUNCT
ejpam-1980	9	19	has	have	AUX
ejpam-1980	9	20	been	be	AUX
ejpam-1980	9	21	studied	study	VERB
ejpam-1980	9	22	early	early	ADV
ejpam-1980	9	23	on	on	ADV
ejpam-1980	9	24	,	,	PUNCT
ejpam-1980	9	25	see	see	VERB
ejpam-1980	9	26	e.g.	e.g.	ADV
ejpam-1980	9	27	[	[	X
ejpam-1980	9	28	4	4	NUM
ejpam-1980	9	29	]	]	PUNCT
ejpam-1980	9	30	.	.	PUNCT
ejpam-1980	10	1	one	one	NUM
ejpam-1980	10	2	class	class	NOUN
ejpam-1980	10	3	of	of	ADP
ejpam-1980	10	4	groups	group	NOUN
ejpam-1980	10	5	and	and	CCONJ
ejpam-1980	10	6	representations	representation	NOUN
ejpam-1980	10	7	attracting	attract	VERB
ejpam-1980	10	8	particular	particular	ADJ
ejpam-1980	10	9	attention	attention	NOUN
ejpam-1980	10	10	are	be	AUX
ejpam-1980	10	11	the	the	DET
ejpam-1980	10	12	semidirect	semidirect	ADJ
ejpam-1980	10	13	products	product	NOUN
ejpam-1980	10	14	of	of	ADP
ejpam-1980	10	15	the	the	DET
ejpam-1980	10	16	type	type	NOUN
ejpam-1980	10	17	g	g	PROPN
ejpam-1980	10	18	=	=	NOUN
ejpam-1980	10	19	h	h	NOUN
ejpam-1980	10	20	×τ	×τ	NOUN
ejpam-1980	10	21	r	r	NOUN
ejpam-1980	10	22	n.	n.	NOUN
ejpam-1980	10	23	here	here	ADV
ejpam-1980	10	24	h	h	NOUN
ejpam-1980	10	25	is	be	AUX
ejpam-1980	10	26	a	a	DET
ejpam-1980	10	27	closed	closed	ADJ
ejpam-1980	10	28	matrix	matrix	NOUN
ejpam-1980	10	29	group	group	NOUN
ejpam-1980	10	30	,	,	PUNCT
ejpam-1980	10	31	the	the	DET
ejpam-1980	10	32	so	so	ADV
ejpam-1980	10	33	-	-	PUNCT
ejpam-1980	10	34	called	call	VERB
ejpam-1980	10	35	dilation	dilation	NOUN
ejpam-1980	10	36	group	group	NOUN
ejpam-1980	10	37	.	.	PUNCT
ejpam-1980	11	1	to	to	PART
ejpam-1980	11	2	construct	construct	VERB
ejpam-1980	11	3	continuous	continuous	ADJ
ejpam-1980	11	4	wavelet	wavelet	NOUN
ejpam-1980	11	5	transforms	transform	VERB
ejpam-1980	11	6	from	from	ADP
ejpam-1980	11	7	quasi	quasi	ADJ
ejpam-1980	11	8	-	-	ADJ
ejpam-1980	11	9	regular	regular	ADJ
ejpam-1980	11	10	representations	representation	NOUN
ejpam-1980	11	11	of	of	ADP
ejpam-1980	11	12	a	a	DET
ejpam-1980	11	13	semidirect	semidirect	NOUN
ejpam-1980	11	14	product	product	NOUN
ejpam-1980	11	15	topological	topological	ADJ
ejpam-1980	11	16	group	group	NOUN
ejpam-1980	11	17	we	we	PRON
ejpam-1980	11	18	require	require	VERB
ejpam-1980	11	19	a	a	DET
ejpam-1980	11	20	square	square	ADJ
ejpam-1980	11	21	integrable	integrable	ADJ
ejpam-1980	11	22	function	function	NOUN
ejpam-1980	11	23	whose	whose	DET
ejpam-1980	11	24	plancherel	plancherel	NOUN
ejpam-1980	11	25	transform	transform	VERB
ejpam-1980	11	26	satisfies	satisfie	NOUN
ejpam-1980	11	27	calderón	calderón	NOUN
ejpam-1980	11	28	admissibility	admissibility	NOUN
ejpam-1980	11	29	condition	condition	NOUN
ejpam-1980	11	30	.	.	PUNCT
ejpam-1980	12	1	the	the	DET
ejpam-1980	12	2	∗corresponding	∗corresponde	VERB
ejpam-1980	12	3	author	author	NOUN
ejpam-1980	12	4	.	.	PUNCT
ejpam-1980	13	1	email	email	NOUN
ejpam-1980	13	2	addresses	address	NOUN
ejpam-1980	13	3	:	:	PUNCT
ejpam-1980	13	4	arefijamaal@hsu.ac.ir;arefijamaal@gmail.com	arefijamaal@hsu.ac.ir;arefijamaal@gmail.com	X
ejpam-1980	13	5	(	(	PUNCT
ejpam-1980	13	6	a.	a.	NOUN
ejpam-1980	13	7	arefijamaal	arefijamaal	NOUN
ejpam-1980	13	8	)	)	PUNCT
ejpam-1980	13	9	,	,	PUNCT
ejpam-1980	13	10	mohammadzadehkarizaki@gmail.com	mohammadzadehkarizaki@gmail.com	X
ejpam-1980	14	1	(	(	PUNCT
ejpam-1980	14	2	m.	m.	NOUN
ejpam-1980	14	3	karizaki	karizaki	PROPN
ejpam-1980	14	4	)	)	PUNCT
ejpam-1980	14	5	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-1980	15	1	368	368	NUM
ejpam-1980	15	2	c	c	NOUN
ejpam-1980	15	3	©	©	PROPN
ejpam-1980	15	4	2015	2015	NUM
ejpam-1980	15	5	ejpam	ejpam	NOUN
ejpam-1980	15	6	all	all	DET
ejpam-1980	15	7	rights	right	NOUN
ejpam-1980	15	8	reserved	reserve	VERB
ejpam-1980	15	9	.	.	PUNCT
ejpam-1980	16	1	a.	a.	NOUN
ejpam-1980	16	2	arefijamaal	arefijamaal	NOUN
ejpam-1980	16	3	,	,	PUNCT
ejpam-1980	16	4	m.	m.	NOUN
ejpam-1980	16	5	karizaki	karizaki	PROPN
ejpam-1980	16	6	/	/	SYM
ejpam-1980	16	7	eur	eur	PROPN
ejpam-1980	16	8	.	.	PUNCT
ejpam-1980	17	1	j.	j.	PROPN
ejpam-1980	17	2	pure	pure	PROPN
ejpam-1980	17	3	appl	appl	PROPN
ejpam-1980	17	4	.	.	PROPN
ejpam-1980	17	5	math	math	PROPN
ejpam-1980	17	6	,	,	PUNCT
ejpam-1980	17	7	8	8	NUM
ejpam-1980	17	8	(	(	PUNCT
ejpam-1980	17	9	2015	2015	NUM
ejpam-1980	17	10	)	)	PUNCT
ejpam-1980	17	11	,	,	PUNCT
ejpam-1980	17	12	368	368	NUM
ejpam-1980	17	13	-	-	SYM
ejpam-1980	17	14	374	374	NUM
ejpam-1980	17	15	369	369	NUM
ejpam-1980	17	16	question	question	NOUN
ejpam-1980	17	17	then	then	ADV
ejpam-1980	17	18	arises	arise	VERB
ejpam-1980	17	19	under	under	ADP
ejpam-1980	17	20	what	what	DET
ejpam-1980	17	21	conditions	condition	NOUN
ejpam-1980	17	22	such	such	ADJ
ejpam-1980	17	23	square	square	ADJ
ejpam-1980	17	24	-	-	PUNCT
ejpam-1980	17	25	integrable	integrable	ADJ
ejpam-1980	17	26	functions	function	NOUN
ejpam-1980	17	27	exist	exist	VERB
ejpam-1980	17	28	.	.	PUNCT
ejpam-1980	18	1	the	the	DET
ejpam-1980	18	2	cwt	cwt	NOUN
ejpam-1980	18	3	on	on	ADP
ejpam-1980	18	4	these	these	DET
ejpam-1980	18	5	groups	group	NOUN
ejpam-1980	18	6	was	be	AUX
ejpam-1980	18	7	discussed	discuss	VERB
ejpam-1980	18	8	in	in	ADP
ejpam-1980	18	9	[	[	X
ejpam-1980	18	10	2	2	NUM
ejpam-1980	18	11	,	,	PUNCT
ejpam-1980	18	12	7	7	NUM
ejpam-1980	18	13	,	,	PUNCT
ejpam-1980	18	14	8	8	NUM
ejpam-1980	18	15	,	,	PUNCT
ejpam-1980	18	16	11	11	NUM
ejpam-1980	18	17	]	]	PUNCT
ejpam-1980	18	18	.	.	PUNCT
ejpam-1980	19	1	many	many	ADJ
ejpam-1980	19	2	authors	author	NOUN
ejpam-1980	19	3	have	have	AUX
ejpam-1980	19	4	been	be	AUX
ejpam-1980	19	5	considered	consider	VERB
ejpam-1980	19	6	several	several	ADJ
ejpam-1980	19	7	conditions	condition	NOUN
ejpam-1980	19	8	equivalent	equivalent	ADJ
ejpam-1980	19	9	to	to	ADP
ejpam-1980	19	10	the	the	DET
ejpam-1980	19	11	calderón	calderón	NOUN
ejpam-1980	19	12	admissibility	admissibility	NOUN
ejpam-1980	19	13	condition	condition	NOUN
ejpam-1980	19	14	,	,	PUNCT
ejpam-1980	19	15	[	[	X
ejpam-1980	19	16	1	1	NUM
ejpam-1980	19	17	,	,	PUNCT
ejpam-1980	19	18	2	2	NUM
ejpam-1980	19	19	,	,	PUNCT
ejpam-1980	19	20	6	6	NUM
ejpam-1980	19	21	,	,	PUNCT
ejpam-1980	19	22	8	8	NUM
ejpam-1980	19	23	]	]	PUNCT
ejpam-1980	19	24	.	.	PUNCT
ejpam-1980	20	1	in	in	ADP
ejpam-1980	20	2	this	this	DET
ejpam-1980	20	3	paper	paper	NOUN
ejpam-1980	20	4	,	,	PUNCT
ejpam-1980	20	5	we	we	PRON
ejpam-1980	20	6	first	first	ADV
ejpam-1980	20	7	review	review	VERB
ejpam-1980	20	8	these	these	DET
ejpam-1980	20	9	results	result	NOUN
ejpam-1980	20	10	and	and	CCONJ
ejpam-1980	20	11	then	then	ADV
ejpam-1980	20	12	introduce	introduce	VERB
ejpam-1980	20	13	a	a	DET
ejpam-1980	20	14	more	more	ADV
ejpam-1980	20	15	general	general	ADJ
ejpam-1980	20	16	setting	setting	NOUN
ejpam-1980	20	17	for	for	ADP
ejpam-1980	20	18	admissible	admissible	ADJ
ejpam-1980	20	19	groups	group	NOUN
ejpam-1980	20	20	.	.	PUNCT
ejpam-1980	21	1	moreover	moreover	ADV
ejpam-1980	21	2	,	,	PUNCT
ejpam-1980	21	3	some	some	DET
ejpam-1980	21	4	necessary	necessary	ADJ
ejpam-1980	21	5	conditions	condition	NOUN
ejpam-1980	21	6	are	be	AUX
ejpam-1980	21	7	provided	provide	VERB
ejpam-1980	21	8	for	for	ADP
ejpam-1980	21	9	a	a	DET
ejpam-1980	21	10	class	class	NOUN
ejpam-1980	21	11	of	of	ADP
ejpam-1980	21	12	admissible	admissible	ADJ
ejpam-1980	21	13	groups	group	NOUN
ejpam-1980	21	14	.	.	PUNCT
ejpam-1980	22	1	let	let	VERB
ejpam-1980	22	2	us	we	PRON
ejpam-1980	22	3	shortly	shortly	ADV
ejpam-1980	22	4	sketch	sketch	VERB
ejpam-1980	22	5	the	the	DET
ejpam-1980	22	6	group	group	NOUN
ejpam-1980	22	7	-	-	PUNCT
ejpam-1980	22	8	theoretic	theoretic	NOUN
ejpam-1980	22	9	framework	framework	NOUN
ejpam-1980	22	10	for	for	ADP
ejpam-1980	22	11	the	the	DET
ejpam-1980	22	12	construction	construction	NOUN
ejpam-1980	22	13	of	of	ADP
ejpam-1980	22	14	continuous	continuous	ADJ
ejpam-1980	22	15	wavelet	wavelet	NOUN
ejpam-1980	22	16	transforms	transform	VERB
ejpam-1980	22	17	on	on	ADP
ejpam-1980	22	18	locally	locally	ADV
ejpam-1980	22	19	compact	compact	ADJ
ejpam-1980	22	20	abelian	abelian	ADJ
ejpam-1980	22	21	groups	group	NOUN
ejpam-1980	22	22	.	.	PUNCT
ejpam-1980	23	1	it	it	PRON
ejpam-1980	23	2	is	be	AUX
ejpam-1980	23	3	well	well	ADV
ejpam-1980	23	4	known	know	VERB
ejpam-1980	23	5	that	that	SCONJ
ejpam-1980	23	6	for	for	ADP
ejpam-1980	23	7	irreducible	irreducible	ADJ
ejpam-1980	23	8	,	,	PUNCT
ejpam-1980	23	9	square	square	ADJ
ejpam-1980	23	10	-	-	PUNCT
ejpam-1980	23	11	integrable	integrable	ADJ
ejpam-1980	23	12	representations	representation	NOUN
ejpam-1980	23	13	of	of	ADP
ejpam-1980	23	14	a	a	DET
ejpam-1980	23	15	locally	locally	ADV
ejpam-1980	23	16	compact	compact	ADJ
ejpam-1980	23	17	group	group	NOUN
ejpam-1980	23	18	,	,	PUNCT
ejpam-1980	23	19	there	there	PRON
ejpam-1980	23	20	exist	exist	VERB
ejpam-1980	23	21	so	so	ADV
ejpam-1980	23	22	-	-	PUNCT
ejpam-1980	23	23	called	call	VERB
ejpam-1980	23	24	admissible	admissible	ADJ
ejpam-1980	23	25	vectors	vector	NOUN
ejpam-1980	23	26	which	which	PRON
ejpam-1980	23	27	allow	allow	VERB
ejpam-1980	23	28	the	the	DET
ejpam-1980	23	29	construction	construction	NOUN
ejpam-1980	23	30	of	of	ADP
ejpam-1980	23	31	generalized	generalized	ADJ
ejpam-1980	23	32	continuous	continuous	ADJ
ejpam-1980	23	33	wavelet	wavelet	NOUN
ejpam-1980	23	34	transforms	transform	VERB
ejpam-1980	23	35	.	.	PUNCT
ejpam-1980	24	1	let	let	VERB
ejpam-1980	24	2	g	g	PRON
ejpam-1980	24	3	be	be	AUX
ejpam-1980	24	4	a	a	DET
ejpam-1980	24	5	locally	locally	ADV
ejpam-1980	24	6	compact	compact	ADJ
ejpam-1980	24	7	topological	topological	ADJ
ejpam-1980	24	8	group	group	NOUN
ejpam-1980	24	9	with	with	ADP
ejpam-1980	24	10	the	the	DET
ejpam-1980	24	11	left	left	ADJ
ejpam-1980	24	12	haar	haar	NOUN
ejpam-1980	24	13	measure	measure	NOUN
ejpam-1980	24	14	µg	µg	ADP
ejpam-1980	24	15	and	and	CCONJ
ejpam-1980	24	16	modular	modular	ADJ
ejpam-1980	24	17	function	function	NOUN
ejpam-1980	24	18	∆g	∆g	PROPN
ejpam-1980	24	19	.	.	PUNCT
ejpam-1980	25	1	if	if	SCONJ
ejpam-1980	25	2	π	π	PROPN
ejpam-1980	25	3	is	be	AUX
ejpam-1980	25	4	a	a	DET
ejpam-1980	25	5	unitary	unitary	ADJ
ejpam-1980	25	6	representation	representation	NOUN
ejpam-1980	25	7	of	of	ADP
ejpam-1980	25	8	g	g	NOUN
ejpam-1980	25	9	on	on	ADP
ejpam-1980	25	10	a	a	DET
ejpam-1980	25	11	hilbert	hilbert	NOUN
ejpam-1980	25	12	spaceh	spaceh	NOUN
ejpam-1980	25	13	,	,	PUNCT
ejpam-1980	25	14	then	then	ADV
ejpam-1980	25	15	a	a	DET
ejpam-1980	25	16	vector	vector	NOUN
ejpam-1980	25	17	ψ	ψ	X
ejpam-1980	25	18	∈h	∈h	NOUN
ejpam-1980	25	19	where	where	SCONJ
ejpam-1980	25	20	cψ	cψ	NOUN
ejpam-1980	25	21	:	:	PUNCT
ejpam-1980	25	22	=	=	SYM
ejpam-1980	25	23	1	1	NUM
ejpam-1980	25	24	‖ψ‖2	‖ψ‖2	NOUN
ejpam-1980	25	25	∫	∫	PROPN
ejpam-1980	25	26	g	g	PROPN
ejpam-1980	25	27	|<ψ	|<ψ	PROPN
ejpam-1980	25	28	,	,	PUNCT
ejpam-1980	25	29	π(x)ψ>|2	π(x)ψ>|2	NOUN
ejpam-1980	25	30	dµg(x)<∞	dµg(x)<∞	X
ejpam-1980	25	31	(	(	PUNCT
ejpam-1980	25	32	2	2	X
ejpam-1980	25	33	)	)	PUNCT
ejpam-1980	25	34	is	be	AUX
ejpam-1980	25	35	called	call	VERB
ejpam-1980	25	36	an	an	DET
ejpam-1980	25	37	admissible	admissible	ADJ
ejpam-1980	25	38	vector	vector	NOUN
ejpam-1980	25	39	.	.	PUNCT
ejpam-1980	26	1	the	the	DET
ejpam-1980	26	2	existence	existence	NOUN
ejpam-1980	26	3	of	of	ADP
ejpam-1980	26	4	an	an	DET
ejpam-1980	26	5	admissible	admissible	ADJ
ejpam-1980	26	6	vector	vector	NOUN
ejpam-1980	26	7	is	be	AUX
ejpam-1980	26	8	not	not	PART
ejpam-1980	26	9	generally	generally	ADV
ejpam-1980	26	10	guaranteed	guarantee	VERB
ejpam-1980	26	11	[	[	PUNCT
ejpam-1980	26	12	10	10	NUM
ejpam-1980	26	13	]	]	PUNCT
ejpam-1980	26	14	.	.	PUNCT
ejpam-1980	27	1	now	now	ADV
ejpam-1980	27	2	for	for	ADP
ejpam-1980	27	3	a	a	DET
ejpam-1980	27	4	fixed	fix	VERB
ejpam-1980	27	5	admissible	admissible	ADJ
ejpam-1980	27	6	vector	vector	NOUN
ejpam-1980	27	7	ψ	ψ	NOUN
ejpam-1980	27	8	in	in	ADP
ejpam-1980	27	9	h	h	NOUN
ejpam-1980	27	10	the	the	DET
ejpam-1980	27	11	linear	linear	ADJ
ejpam-1980	27	12	isometry	isometry	NOUN
ejpam-1980	27	13	wψ	wψ	ADP
ejpam-1980	27	14	:	:	PUNCT
ejpam-1980	27	15	h	h	NOUN
ejpam-1980	27	16	→	→	SYM
ejpam-1980	27	17	l2(g	l2(g	NOUN
ejpam-1980	27	18	)	)	PUNCT
ejpam-1980	27	19	given	give	VERB
ejpam-1980	27	20	by	by	ADP
ejpam-1980	27	21	(	(	PUNCT
ejpam-1980	27	22	wψη)(x	wψη)(x	NOUN
ejpam-1980	27	23	)	)	PUNCT
ejpam-1980	28	1	=	=	PUNCT
ejpam-1980	28	2	c	c	NOUN
ejpam-1980	28	3	−1	−1	NOUN
ejpam-1980	28	4	2	2	NUM
ejpam-1980	28	5	ψ	ψ	NOUN
ejpam-1980	28	6	<	<	X
ejpam-1980	28	7	η	η	PROPN
ejpam-1980	28	8	,	,	PUNCT
ejpam-1980	28	9	π(x)ψ	π(x)ψ	NOUN
ejpam-1980	28	10	>	>	X
ejpam-1980	28	11	,	,	PUNCT
ejpam-1980	28	12	(	(	PUNCT
ejpam-1980	28	13	η	η	PROPN
ejpam-1980	28	14	∈h	∈h	NOUN
ejpam-1980	28	15	,	,	PUNCT
ejpam-1980	28	16	x	x	PUNCT
ejpam-1980	28	17	∈	∈	PROPN
ejpam-1980	28	18	g	g	NOUN
ejpam-1980	28	19	)	)	PUNCT
ejpam-1980	28	20	is	be	AUX
ejpam-1980	28	21	called	call	VERB
ejpam-1980	28	22	the	the	DET
ejpam-1980	28	23	cwt	cwt	NOUN
ejpam-1980	28	24	on	on	ADP
ejpam-1980	28	25	g.	g.	PROPN
ejpam-1980	28	26	also	also	ADV
ejpam-1980	28	27	we	we	PRON
ejpam-1980	28	28	refer	refer	VERB
ejpam-1980	28	29	to	to	ADP
ejpam-1980	28	30	the	the	DET
ejpam-1980	28	31	inequality	inequality	NOUN
ejpam-1980	28	32	(	(	PUNCT
ejpam-1980	28	33	2	2	NUM
ejpam-1980	28	34	)	)	PUNCT
ejpam-1980	28	35	as	as	ADP
ejpam-1980	28	36	the	the	DET
ejpam-1980	28	37	admissibility	admissibility	NOUN
ejpam-1980	28	38	condition	condition	NOUN
ejpam-1980	28	39	.	.	PUNCT
ejpam-1980	29	1	among	among	ADP
ejpam-1980	29	2	the	the	DET
ejpam-1980	29	3	many	many	ADJ
ejpam-1980	29	4	useful	useful	ADJ
ejpam-1980	29	5	aspects	aspect	NOUN
ejpam-1980	29	6	of	of	ADP
ejpam-1980	29	7	wavelets	wavelet	NOUN
ejpam-1980	29	8	,	,	PUNCT
ejpam-1980	29	9	probably	probably	ADV
ejpam-1980	29	10	the	the	DET
ejpam-1980	29	11	most	most	ADV
ejpam-1980	29	12	fundamental	fundamental	ADJ
ejpam-1980	29	13	one	one	NUM
ejpam-1980	29	14	is	be	AUX
ejpam-1980	29	15	the	the	DET
ejpam-1980	29	16	wavelet	wavelet	NOUN
ejpam-1980	29	17	inversion	inversion	NOUN
ejpam-1980	29	18	formula	formula	NOUN
ejpam-1980	29	19	,	,	PUNCT
ejpam-1980	29	20	usually	usually	ADV
ejpam-1980	29	21	given	give	VERB
ejpam-1980	29	22	by	by	ADP
ejpam-1980	29	23	∫	∫	PROPN
ejpam-1980	29	24	g	g	PROPN
ejpam-1980	29	25	(	(	PUNCT
ejpam-1980	29	26	wψη)(x)π(x)ψ	wψη)(x)π(x)ψ	PROPN
ejpam-1980	29	27	dµg(x	dµg(x	NOUN
ejpam-1980	29	28	)	)	PUNCT
ejpam-1980	29	29	=	=	SYM
ejpam-1980	29	30	η	η	PROPN
ejpam-1980	29	31	,	,	PUNCT
ejpam-1980	29	32	(	(	PUNCT
ejpam-1980	29	33	η	η	NOUN
ejpam-1980	29	34	∈h	∈h	NOUN
ejpam-1980	29	35	)	)	PUNCT
ejpam-1980	29	36	.	.	PUNCT
ejpam-1980	30	1	for	for	ADP
ejpam-1980	30	2	locally	locally	ADV
ejpam-1980	30	3	compact	compact	ADJ
ejpam-1980	30	4	groups	group	NOUN
ejpam-1980	30	5	h	h	NOUN
ejpam-1980	30	6	and	and	CCONJ
ejpam-1980	30	7	k	k	PROPN
ejpam-1980	30	8	where	where	SCONJ
ejpam-1980	30	9	k	k	PROPN
ejpam-1980	30	10	is	be	AUX
ejpam-1980	30	11	also	also	ADV
ejpam-1980	30	12	abelian	abelian	ADJ
ejpam-1980	30	13	,	,	PUNCT
ejpam-1980	30	14	let	let	VERB
ejpam-1980	30	15	h	h	NOUN
ejpam-1980	30	16	7−→	7−→	PROPN
ejpam-1980	30	17	τh	τh	PART
ejpam-1980	30	18	be	be	AUX
ejpam-1980	30	19	a	a	DET
ejpam-1980	30	20	homomorphism	homomorphism	NOUN
ejpam-1980	30	21	of	of	ADP
ejpam-1980	30	22	h	h	NOUN
ejpam-1980	30	23	into	into	ADP
ejpam-1980	30	24	the	the	DET
ejpam-1980	30	25	group	group	NOUN
ejpam-1980	30	26	of	of	ADP
ejpam-1980	30	27	automorphisms	automorphisms	PROPN
ejpam-1980	30	28	of	of	ADP
ejpam-1980	30	29	k	k	PROPN
ejpam-1980	30	30	denoted	denote	VERB
ejpam-1980	30	31	by	by	ADP
ejpam-1980	30	32	aut(k	aut(k	PROPN
ejpam-1980	30	33	)	)	PUNCT
ejpam-1980	30	34	.	.	PUNCT
ejpam-1980	31	1	also	also	ADV
ejpam-1980	31	2	,	,	PUNCT
ejpam-1980	31	3	assume	assume	VERB
ejpam-1980	31	4	that	that	SCONJ
ejpam-1980	31	5	the	the	DET
ejpam-1980	31	6	mapping	mapping	NOUN
ejpam-1980	31	7	(	(	PUNCT
ejpam-1980	31	8	h	h	NOUN
ejpam-1980	31	9	,	,	PUNCT
ejpam-1980	31	10	x	x	NOUN
ejpam-1980	31	11	)	)	PUNCT
ejpam-1980	31	12	7−→	7−→	NOUN
ejpam-1980	31	13	τh(x	τh(x	PUNCT
ejpam-1980	31	14	)	)	PUNCT
ejpam-1980	31	15	from	from	ADP
ejpam-1980	31	16	h	h	NOUN
ejpam-1980	31	17	×k	×k	NOUN
ejpam-1980	31	18	onto	onto	ADP
ejpam-1980	31	19	k	k	PROPN
ejpam-1980	31	20	is	be	AUX
ejpam-1980	31	21	continuous	continuous	ADJ
ejpam-1980	31	22	.	.	PUNCT
ejpam-1980	32	1	then	then	ADV
ejpam-1980	32	2	the	the	DET
ejpam-1980	32	3	set	set	NOUN
ejpam-1980	32	4	h	h	NOUN
ejpam-1980	32	5	×k	×k	NOUN
ejpam-1980	32	6	endowed	endow	VERB
ejpam-1980	32	7	with	with	ADP
ejpam-1980	32	8	the	the	DET
ejpam-1980	32	9	product	product	NOUN
ejpam-1980	32	10	topology	topology	NOUN
ejpam-1980	32	11	and	and	CCONJ
ejpam-1980	32	12	the	the	DET
ejpam-1980	32	13	operations	operation	NOUN
ejpam-1980	32	14	:	:	PUNCT
ejpam-1980	32	15	(	(	PUNCT
ejpam-1980	32	16	h	h	NOUN
ejpam-1980	32	17	,	,	PUNCT
ejpam-1980	32	18	x).(h′	x).(h′	PROPN
ejpam-1980	32	19	,	,	PUNCT
ejpam-1980	32	20	x	x	NOUN
ejpam-1980	32	21	′	′	NUM
ejpam-1980	32	22	)	)	PUNCT
ejpam-1980	32	23	=	=	SYM
ejpam-1980	32	24	(	(	PUNCT
ejpam-1980	32	25	hh′	hh′	INTJ
ejpam-1980	32	26	,	,	PUNCT
ejpam-1980	32	27	x	x	PROPN
ejpam-1980	32	28	.τh(x	.τh(x	PUNCT
ejpam-1980	32	29	′	′	NUM
ejpam-1980	32	30	)	)	PUNCT
ejpam-1980	32	31	)	)	PUNCT
ejpam-1980	32	32	,	,	PUNCT
ejpam-1980	32	33	(	(	PUNCT
ejpam-1980	32	34	h	h	NOUN
ejpam-1980	32	35	,	,	PUNCT
ejpam-1980	32	36	x)−1	x)−1	X
ejpam-1980	32	37	=	=	SYM
ejpam-1980	32	38	(	(	PUNCT
ejpam-1980	32	39	h−1,τh−1(x−1	h−1,τh−1(x−1	NOUN
ejpam-1980	32	40	)	)	PUNCT
ejpam-1980	32	41	)	)	PUNCT
ejpam-1980	32	42	is	be	AUX
ejpam-1980	32	43	a	a	DET
ejpam-1980	32	44	locally	locally	ADV
ejpam-1980	32	45	compact	compact	ADJ
ejpam-1980	32	46	group	group	NOUN
ejpam-1980	32	47	.	.	PUNCT
ejpam-1980	33	1	this	this	DET
ejpam-1980	33	2	group	group	NOUN
ejpam-1980	33	3	is	be	AUX
ejpam-1980	33	4	called	call	VERB
ejpam-1980	33	5	the	the	DET
ejpam-1980	33	6	semidirect	semidirect	NOUN
ejpam-1980	33	7	product	product	NOUN
ejpam-1980	33	8	of	of	ADP
ejpam-1980	33	9	h	h	NOUN
ejpam-1980	33	10	and	and	CCONJ
ejpam-1980	33	11	k	k	PROPN
ejpam-1980	33	12	,	,	PUNCT
ejpam-1980	33	13	respectively	respectively	ADV
ejpam-1980	33	14	,	,	PUNCT
ejpam-1980	33	15	and	and	CCONJ
ejpam-1980	33	16	is	be	AUX
ejpam-1980	33	17	denoted	denote	VERB
ejpam-1980	33	18	by	by	ADP
ejpam-1980	33	19	h	h	NOUN
ejpam-1980	33	20	×τ	×τ	NOUN
ejpam-1980	33	21	k	k	X
ejpam-1980	33	22	.	.	PUNCT
ejpam-1980	34	1	let	let	VERB
ejpam-1980	34	2	g	g	NOUN
ejpam-1980	34	3	=	=	PUNCT
ejpam-1980	34	4	h	h	NOUN
ejpam-1980	34	5	×τ	×τ	NOUN
ejpam-1980	34	6	k	k	X
ejpam-1980	34	7	.	.	PUNCT
ejpam-1980	35	1	then	then	ADV
ejpam-1980	35	2	the	the	DET
ejpam-1980	35	3	left	left	ADJ
ejpam-1980	35	4	haar	haar	PROPN
ejpam-1980	35	5	measure	measure	NOUN
ejpam-1980	35	6	of	of	ADP
ejpam-1980	35	7	g	g	PROPN
ejpam-1980	35	8	is	be	AUX
ejpam-1980	35	9	dµg(h	dµg(h	PROPN
ejpam-1980	35	10	,	,	PUNCT
ejpam-1980	35	11	x	x	X
ejpam-1980	35	12	)	)	PUNCT
ejpam-1980	35	13	=	=	SYM
ejpam-1980	35	14	δ(h)dµh(h)dµk(x	δ(h)dµh(h)dµk(x	NOUN
ejpam-1980	35	15	)	)	PUNCT
ejpam-1980	35	16	and	and	CCONJ
ejpam-1980	35	17	∆g(h	∆g(h	NOUN
ejpam-1980	35	18	,	,	PUNCT
ejpam-1980	35	19	x	x	NOUN
ejpam-1980	35	20	)	)	PUNCT
ejpam-1980	35	21	=	=	SYM
ejpam-1980	35	22	δ(h)∆h(h	δ(h)∆h(h	NOUN
ejpam-1980	35	23	)	)	PUNCT
ejpam-1980	35	24	is	be	AUX
ejpam-1980	35	25	its	its	PRON
ejpam-1980	35	26	modular	modular	ADJ
ejpam-1980	35	27	function	function	NOUN
ejpam-1980	35	28	,	,	PUNCT
ejpam-1980	35	29	in	in	ADP
ejpam-1980	35	30	which	which	PRON
ejpam-1980	35	31	δ	δ	PROPN
ejpam-1980	35	32	is	be	AUX
ejpam-1980	35	33	a	a	DET
ejpam-1980	35	34	positive	positive	ADJ
ejpam-1980	35	35	continuous	continuous	ADJ
ejpam-1980	35	36	homomorphism	homomorphism	NOUN
ejpam-1980	35	37	on	on	ADP
ejpam-1980	35	38	h	h	NOUN
ejpam-1980	35	39	and	and	CCONJ
ejpam-1980	35	40	is	be	AUX
ejpam-1980	35	41	given	give	VERB
ejpam-1980	35	42	by	by	ADP
ejpam-1980	35	43	µk(e	µk(e	NOUN
ejpam-1980	35	44	)	)	PUNCT
ejpam-1980	35	45	=	=	SYM
ejpam-1980	35	46	δ(h)µk(τh(e	δ(h)µk(τh(e	PROPN
ejpam-1980	35	47	)	)	PUNCT
ejpam-1980	35	48	)	)	PUNCT
ejpam-1980	35	49	,	,	PUNCT
ejpam-1980	35	50	for	for	ADP
ejpam-1980	35	51	all	all	DET
ejpam-1980	35	52	measurable	measurable	ADJ
ejpam-1980	35	53	subsets	subset	NOUN
ejpam-1980	35	54	e	e	PROPN
ejpam-1980	35	55	of	of	ADP
ejpam-1980	35	56	k	k	PROPN
ejpam-1980	35	57	,	,	PUNCT
ejpam-1980	35	58	for	for	ADP
ejpam-1980	35	59	more	more	ADJ
ejpam-1980	35	60	details	detail	NOUN
ejpam-1980	35	61	of	of	ADP
ejpam-1980	35	62	these	these	DET
ejpam-1980	35	63	facts	fact	NOUN
ejpam-1980	35	64	see	see	VERB
ejpam-1980	35	65	[	[	X
ejpam-1980	35	66	5	5	NUM
ejpam-1980	35	67	]	]	PUNCT
ejpam-1980	35	68	.	.	PUNCT
ejpam-1980	36	1	from	from	ADP
ejpam-1980	36	2	the	the	DET
ejpam-1980	36	3	canonical	canonical	ADJ
ejpam-1980	36	4	action	action	NOUN
ejpam-1980	36	5	of	of	ADP
ejpam-1980	36	6	g	g	PROPN
ejpam-1980	36	7	on	on	ADP
ejpam-1980	36	8	k	k	PROPN
ejpam-1980	36	9	arises	arise	VERB
ejpam-1980	36	10	a	a	DET
ejpam-1980	36	11	natural	natural	ADJ
ejpam-1980	36	12	unitary	unitary	ADJ
ejpam-1980	36	13	representation	representation	NOUN
ejpam-1980	36	14	,	,	PUNCT
ejpam-1980	36	15	which	which	PRON
ejpam-1980	36	16	is	be	AUX
ejpam-1980	36	17	called	call	VERB
ejpam-1980	36	18	the	the	DET
ejpam-1980	36	19	quasi	quasi	ADJ
ejpam-1980	36	20	regular	regular	ADJ
ejpam-1980	36	21	representation	representation	NOUN
ejpam-1980	36	22	on	on	ADP
ejpam-1980	36	23	the	the	DET
ejpam-1980	36	24	semidirect	semidirect	NOUN
ejpam-1980	36	25	product	product	NOUN
ejpam-1980	36	26	group	group	NOUN
ejpam-1980	36	27	g.	g.	PROPN
ejpam-1980	36	28	a.	a.	PROPN
ejpam-1980	36	29	arefijamaal	arefijamaal	PROPN
ejpam-1980	36	30	,	,	PUNCT
ejpam-1980	36	31	m.	m.	NOUN
ejpam-1980	36	32	karizaki	karizaki	PROPN
ejpam-1980	36	33	/	/	SYM
ejpam-1980	36	34	eur	eur	PROPN
ejpam-1980	36	35	.	.	PUNCT
ejpam-1980	37	1	j.	j.	PROPN
ejpam-1980	37	2	pure	pure	PROPN
ejpam-1980	37	3	appl	appl	PROPN
ejpam-1980	37	4	.	.	PROPN
ejpam-1980	37	5	math	math	PROPN
ejpam-1980	37	6	,	,	PUNCT
ejpam-1980	37	7	8	8	NUM
ejpam-1980	37	8	(	(	PUNCT
ejpam-1980	37	9	2015	2015	NUM
ejpam-1980	37	10	)	)	PUNCT
ejpam-1980	37	11	,	,	PUNCT
ejpam-1980	37	12	368	368	NUM
ejpam-1980	37	13	-	-	SYM
ejpam-1980	37	14	374	374	NUM
ejpam-1980	37	15	370	370	NUM
ejpam-1980	37	16	definition	definition	NOUN
ejpam-1980	37	17	1	1	NUM
ejpam-1980	37	18	.	.	PUNCT
ejpam-1980	38	1	the	the	DET
ejpam-1980	38	2	quasi	quasi	ADJ
ejpam-1980	38	3	regular	regular	ADJ
ejpam-1980	38	4	representation	representation	NOUN
ejpam-1980	38	5	(	(	PUNCT
ejpam-1980	38	6	u	u	NOUN
ejpam-1980	38	7	,	,	PUNCT
ejpam-1980	38	8	l2(k	l2(k	PROPN
ejpam-1980	38	9	)	)	PUNCT
ejpam-1980	38	10	)	)	PUNCT
ejpam-1980	38	11	on	on	ADP
ejpam-1980	38	12	g	g	PROPN
ejpam-1980	38	13	=	=	PUNCT
ejpam-1980	38	14	h	h	NOUN
ejpam-1980	38	15	×τ	×τ	NOUN
ejpam-1980	38	16	k	k	PROPN
ejpam-1980	38	17	is	be	AUX
ejpam-1980	38	18	defined	define	VERB
ejpam-1980	38	19	by	by	ADP
ejpam-1980	38	20	u(h	u(h	PROPN
ejpam-1980	38	21	,	,	PUNCT
ejpam-1980	38	22	x	x	NOUN
ejpam-1980	38	23	)	)	PUNCT
ejpam-1980	38	24	f	f	PROPN
ejpam-1980	38	25	(	(	PUNCT
ejpam-1980	38	26	y	y	NOUN
ejpam-1980	38	27	)	)	PUNCT
ejpam-1980	38	28	=	=	SYM
ejpam-1980	38	29	δ(h	δ(h	NOUN
ejpam-1980	38	30	)	)	PUNCT
ejpam-1980	38	31	1	1	NUM
ejpam-1980	38	32	2	2	NUM
ejpam-1980	38	33	f	f	X
ejpam-1980	38	34	(	(	PUNCT
ejpam-1980	38	35	τh−1(y	τh−1(y	PROPN
ejpam-1980	38	36	x−1	x−1	PROPN
ejpam-1980	38	37	)	)	PUNCT
ejpam-1980	38	38	)	)	PUNCT
ejpam-1980	38	39	,	,	PUNCT
ejpam-1980	38	40	(	(	PUNCT
ejpam-1980	38	41	f	f	PROPN
ejpam-1980	38	42	∈	∈	PROPN
ejpam-1980	38	43	l2(k	l2(k	PROPN
ejpam-1980	38	44	)	)	PUNCT
ejpam-1980	38	45	)	)	PUNCT
ejpam-1980	38	46	.	.	PUNCT
ejpam-1980	39	1	u	u	NOUN
ejpam-1980	39	2	is	be	AUX
ejpam-1980	39	3	not	not	PART
ejpam-1980	39	4	generally	generally	ADV
ejpam-1980	39	5	irreducible	irreducible	ADJ
ejpam-1980	39	6	[	[	X
ejpam-1980	39	7	10	10	NUM
ejpam-1980	39	8	]	]	PUNCT
ejpam-1980	39	9	.	.	PUNCT
ejpam-1980	40	1	an	an	DET
ejpam-1980	40	2	element	element	NOUN
ejpam-1980	40	3	ψ	ψ	ADP
ejpam-1980	40	4	∈	∈	PROPN
ejpam-1980	40	5	l2(k	l2(k	PROPN
ejpam-1980	40	6	)	)	PUNCT
ejpam-1980	40	7	is	be	AUX
ejpam-1980	40	8	admissible	admissible	ADJ
ejpam-1980	40	9	if	if	SCONJ
ejpam-1980	40	10	satisfies	satisfy	VERB
ejpam-1980	40	11	the	the	DET
ejpam-1980	40	12	generalized	generalize	VERB
ejpam-1980	40	13	calderón	calderón	NOUN
ejpam-1980	40	14	admissibility	admissibility	NOUN
ejpam-1980	40	15	condition	condition	NOUN
ejpam-1980	40	16	∫	∫	PROPN
ejpam-1980	41	1	h	h	PROPN
ejpam-1980	41	2	∫	∫	PROPN
ejpam-1980	42	1	k	k	PROPN
ejpam-1980	42	2	|<ψ	|<ψ	PROPN
ejpam-1980	42	3	,	,	PUNCT
ejpam-1980	42	4	u(h	u(h	PROPN
ejpam-1980	42	5	,	,	PUNCT
ejpam-1980	42	6	x)ψ	x)ψ	NOUN
ejpam-1980	42	7	>	>	X
ejpam-1980	42	8	|2δ(h)dµh(h)dµk(x)<∞	|2δ(h)dµh(h)dµk(x)<∞	NOUN
ejpam-1980	42	9	,	,	PUNCT
ejpam-1980	42	10	(	(	PUNCT
ejpam-1980	42	11	f	f	PROPN
ejpam-1980	42	12	∈	∈	PROPN
ejpam-1980	42	13	l2(k	l2(k	PROPN
ejpam-1980	42	14	)	)	PUNCT
ejpam-1980	42	15	)	)	PUNCT
ejpam-1980	42	16	.	.	PUNCT
ejpam-1980	43	1	(	(	PUNCT
ejpam-1980	43	2	3	3	X
ejpam-1980	43	3	)	)	PUNCT
ejpam-1980	43	4	consider	consider	VERB
ejpam-1980	43	5	bk	bk	NOUN
ejpam-1980	43	6	as	as	ADP
ejpam-1980	43	7	the	the	DET
ejpam-1980	43	8	dual	dual	ADJ
ejpam-1980	43	9	group	group	NOUN
ejpam-1980	43	10	of	of	ADP
ejpam-1980	43	11	the	the	DET
ejpam-1980	43	12	lca	lca	PROPN
ejpam-1980	43	13	group	group	NOUN
ejpam-1980	43	14	k	k	PROPN
ejpam-1980	43	15	and	and	CCONJ
ejpam-1980	43	16	denote	denote	VERB
ejpam-1980	43	17	its	its	PRON
ejpam-1980	43	18	left	left	ADJ
ejpam-1980	43	19	haar	haar	NOUN
ejpam-1980	43	20	measure	measure	NOUN
ejpam-1980	43	21	by	by	ADP
ejpam-1980	43	22	dω	dω	PROPN
ejpam-1980	43	23	.	.	PUNCT
ejpam-1980	44	1	then	then	ADV
ejpam-1980	44	2	one	one	PRON
ejpam-1980	44	3	can	can	AUX
ejpam-1980	44	4	define	define	VERB
ejpam-1980	44	5	a	a	DET
ejpam-1980	44	6	continuous	continuous	ADJ
ejpam-1980	44	7	action	action	NOUN
ejpam-1980	44	8	from	from	ADP
ejpam-1980	44	9	h	h	NOUN
ejpam-1980	44	10	on	on	ADP
ejpam-1980	44	11	bk	bk	NOUN
ejpam-1980	44	12	by	by	ADP
ejpam-1980	44	13	(	(	PUNCT
ejpam-1980	44	14	h	h	NOUN
ejpam-1980	44	15	,	,	PUNCT
ejpam-1980	44	16	ω	ω	NOUN
ejpam-1980	44	17	)	)	PUNCT
ejpam-1980	44	18	7−→	7−→	NOUN
ejpam-1980	44	19	ω	ω	NUM
ejpam-1980	44	20	◦	◦	NOUN
ejpam-1980	44	21	τh−1	τh−1	ADJ
ejpam-1980	44	22	.	.	PUNCT
ejpam-1980	45	1	now	now	ADV
ejpam-1980	45	2	for	for	ADP
ejpam-1980	45	3	each	each	DET
ejpam-1980	45	4	ω	ω	PROPN
ejpam-1980	45	5	∈	∈	PROPN
ejpam-1980	45	6	bk	bk	PROPN
ejpam-1980	45	7	,	,	PUNCT
ejpam-1980	45	8	the	the	DET
ejpam-1980	45	9	stabilizer	stabilizer	NOUN
ejpam-1980	45	10	and	and	CCONJ
ejpam-1980	45	11	the	the	DET
ejpam-1980	45	12	orbit	orbit	NOUN
ejpam-1980	45	13	of	of	ADP
ejpam-1980	45	14	ω	ω	NUM
ejpam-1980	45	15	,	,	PUNCT
ejpam-1980	45	16	that	that	PRON
ejpam-1980	45	17	play	play	VERB
ejpam-1980	45	18	a	a	DET
ejpam-1980	45	19	key	key	ADJ
ejpam-1980	45	20	role	role	NOUN
ejpam-1980	45	21	in	in	ADP
ejpam-1980	45	22	our	our	PRON
ejpam-1980	45	23	discussion	discussion	NOUN
ejpam-1980	45	24	are	be	AUX
ejpam-1980	45	25	defined	define	VERB
ejpam-1980	45	26	by	by	ADP
ejpam-1980	45	27	hω	hω	ADP
ejpam-1980	45	28	:	:	PUNCT
ejpam-1980	45	29	=	=	SYM
ejpam-1980	45	30	{	{	PUNCT
ejpam-1980	45	31	h	h	NOUN
ejpam-1980	45	32	∈	∈	PROPN
ejpam-1980	45	33	h	h	NOUN
ejpam-1980	45	34	;	;	PUNCT
ejpam-1980	45	35	;	;	PUNCT
ejpam-1980	45	36	ω	ω	X
ejpam-1980	45	37	◦	◦	NOUN
ejpam-1980	45	38	τh	τh	ADP
ejpam-1980	45	39	=	=	NOUN
ejpam-1980	45	40	ω	ω	NOUN
ejpam-1980	45	41	}	}	PUNCT
ejpam-1980	45	42	,	,	PUNCT
ejpam-1980	45	43	oω	oω	ADP
ejpam-1980	45	44	:	:	PUNCT
ejpam-1980	45	45	=	=	SYM
ejpam-1980	45	46	{	{	PUNCT
ejpam-1980	45	47	ω	ω	INTJ
ejpam-1980	45	48	◦	◦	NOUN
ejpam-1980	45	49	τh	τh	ADP
ejpam-1980	45	50	;	;	PUNCT
ejpam-1980	45	51	h	h	NOUN
ejpam-1980	45	52	∈	∈	PROPN
ejpam-1980	45	53	h	h	NOUN
ejpam-1980	45	54	}	}	PUNCT
ejpam-1980	45	55	,	,	PUNCT
ejpam-1980	45	56	respectively	respectively	ADV
ejpam-1980	45	57	.	.	PUNCT
ejpam-1980	46	1	the	the	DET
ejpam-1980	46	2	set	set	NOUN
ejpam-1980	46	3	hω	hω	ADP
ejpam-1980	46	4	is	be	AUX
ejpam-1980	46	5	a	a	DET
ejpam-1980	46	6	closed	closed	ADJ
ejpam-1980	46	7	subgroup	subgroup	NOUN
ejpam-1980	46	8	of	of	ADP
ejpam-1980	46	9	h	h	NOUN
ejpam-1980	46	10	and	and	CCONJ
ejpam-1980	46	11	oω	oω	NOUN
ejpam-1980	46	12	is	be	AUX
ejpam-1980	46	13	an	an	DET
ejpam-1980	46	14	h	h	NOUN
ejpam-1980	46	15	-	-	PUNCT
ejpam-1980	46	16	invariant	invariant	ADJ
ejpam-1980	46	17	subset	subset	NOUN
ejpam-1980	46	18	in	in	ADP
ejpam-1980	46	19	bk	bk	NOUN
ejpam-1980	46	20	.	.	PUNCT
ejpam-1980	47	1	2	2	X
ejpam-1980	47	2	.	.	X
ejpam-1980	47	3	admissible	admissible	ADJ
ejpam-1980	47	4	subgroups	subgroup	NOUN
ejpam-1980	47	5	of	of	ADP
ejpam-1980	47	6	gl(n	gl(n	PROPN
ejpam-1980	47	7	,	,	PUNCT
ejpam-1980	47	8	r	r	NOUN
ejpam-1980	47	9	)	)	PUNCT
ejpam-1980	47	10	let	let	VERB
ejpam-1980	47	11	h	h	NOUN
ejpam-1980	47	12	≤	≤	NOUN
ejpam-1980	47	13	gl(n	gl(n	PUNCT
ejpam-1980	47	14	,	,	PUNCT
ejpam-1980	47	15	r	r	NOUN
ejpam-1980	47	16	)	)	PUNCT
ejpam-1980	47	17	be	be	VERB
ejpam-1980	47	18	the	the	DET
ejpam-1980	47	19	group	group	NOUN
ejpam-1980	47	20	consisting	consist	VERB
ejpam-1980	47	21	of	of	ADP
ejpam-1980	47	22	diagonal	diagonal	ADJ
ejpam-1980	47	23	matrices	matrix	NOUN
ejpam-1980	47	24	,	,	PUNCT
ejpam-1980	47	25	also	also	ADV
ejpam-1980	47	26	let	let	VERB
ejpam-1980	47	27	h	h	NOUN
ejpam-1980	47	28	×τ	×τ	NOUN
ejpam-1980	48	1	r	r	NOUN
ejpam-1980	48	2	n	n	VERB
ejpam-1980	48	3	be	be	VERB
ejpam-1980	48	4	the	the	DET
ejpam-1980	48	5	semidirect	semidirect	NOUN
ejpam-1980	48	6	product	product	NOUN
ejpam-1980	48	7	of	of	ADP
ejpam-1980	48	8	h	h	PROPN
ejpam-1980	48	9	and	and	CCONJ
ejpam-1980	48	10	rn	rn	PROPN
ejpam-1980	48	11	,	,	PUNCT
ejpam-1980	48	12	with	with	ADP
ejpam-1980	48	13	the	the	DET
ejpam-1980	48	14	usual	usual	ADJ
ejpam-1980	48	15	action	action	NOUN
ejpam-1980	48	16	of	of	ADP
ejpam-1980	48	17	h	h	PROPN
ejpam-1980	48	18	on	on	ADP
ejpam-1980	48	19	rn	rn	PROPN
ejpam-1980	48	20	.	.	PUNCT
ejpam-1980	49	1	in	in	ADP
ejpam-1980	49	2	[	[	X
ejpam-1980	49	3	3	3	X
ejpam-1980	49	4	]	]	X
ejpam-1980	49	5	it	it	PRON
ejpam-1980	49	6	is	be	AUX
ejpam-1980	49	7	shown	show	VERB
ejpam-1980	49	8	that	that	SCONJ
ejpam-1980	49	9	ψ	ψ	ADP
ejpam-1980	49	10	∈	∈	PROPN
ejpam-1980	49	11	l2(rn	l2(rn	PROPN
ejpam-1980	49	12	)	)	PUNCT
ejpam-1980	49	13	is	be	AUX
ejpam-1980	49	14	admissible	admissible	ADJ
ejpam-1980	49	15	if	if	SCONJ
ejpam-1980	49	16	and	and	CCONJ
ejpam-1980	49	17	only	only	ADV
ejpam-1980	49	18	if	if	SCONJ
ejpam-1980	49	19	∫	∫	PROPN
ejpam-1980	49	20	h	h	PROPN
ejpam-1980	49	21	|òψ(ξ)|2	|òψ(ξ)|2	PROPN
ejpam-1980	49	22	|ξ1ξ2	|ξ1ξ2	VERB
ejpam-1980	49	23	.	.	PUNCT
ejpam-1980	49	24	.	.	PUNCT
ejpam-1980	50	1	.ξn|	.ξn|	PROPN
ejpam-1980	51	1	dξ	dξ	PROPN
ejpam-1980	51	2	<	<	PRON
ejpam-1980	51	3	∞.	∞.	PROPN
ejpam-1980	51	4	a	a	DET
ejpam-1980	51	5	subgroup	subgroup	NOUN
ejpam-1980	51	6	h	h	NOUN
ejpam-1980	51	7	of	of	ADP
ejpam-1980	51	8	gl(n	gl(n	PUNCT
ejpam-1980	51	9	,	,	PUNCT
ejpam-1980	51	10	r	r	NOUN
ejpam-1980	51	11	)	)	PUNCT
ejpam-1980	51	12	is	be	AUX
ejpam-1980	51	13	said	say	VERB
ejpam-1980	51	14	to	to	PART
ejpam-1980	51	15	be	be	AUX
ejpam-1980	51	16	admissible	admissible	ADJ
ejpam-1980	51	17	if	if	SCONJ
ejpam-1980	51	18	the	the	DET
ejpam-1980	51	19	quasi	quasi	ADJ
ejpam-1980	51	20	-	-	ADJ
ejpam-1980	51	21	regular	regular	ADJ
ejpam-1980	51	22	representation	representation	NOUN
ejpam-1980	51	23	on	on	ADP
ejpam-1980	51	24	the	the	DET
ejpam-1980	51	25	semidirect	semidirect	NOUN
ejpam-1980	51	26	product	product	NOUN
ejpam-1980	51	27	group	group	NOUN
ejpam-1980	51	28	h	h	NOUN
ejpam-1980	51	29	×τ	×τ	NOUN
ejpam-1980	51	30	r	r	NOUN
ejpam-1980	51	31	n	n	CCONJ
ejpam-1980	51	32	,	,	PUNCT
ejpam-1980	51	33	with	with	ADP
ejpam-1980	51	34	the	the	DET
ejpam-1980	51	35	natural	natural	ADJ
ejpam-1980	51	36	action	action	NOUN
ejpam-1980	51	37	of	of	ADP
ejpam-1980	51	38	h	h	PROPN
ejpam-1980	51	39	on	on	ADP
ejpam-1980	51	40	rn	rn	PROPN
ejpam-1980	51	41	,	,	PUNCT
ejpam-1980	51	42	has	have	VERB
ejpam-1980	51	43	an	an	DET
ejpam-1980	51	44	admissible	admissible	ADJ
ejpam-1980	51	45	vector	vector	NOUN
ejpam-1980	51	46	ψ	ψ	NOUN
ejpam-1980	51	47	∈	∈	PROPN
ejpam-1980	51	48	l2(rn	l2(rn	PROPN
ejpam-1980	51	49	)	)	PUNCT
ejpam-1980	51	50	.	.	PUNCT
ejpam-1980	52	1	in	in	ADP
ejpam-1980	52	2	[	[	X
ejpam-1980	52	3	12	12	NUM
ejpam-1980	52	4	]	]	X
ejpam-1980	52	5	it	it	PRON
ejpam-1980	52	6	is	be	AUX
ejpam-1980	52	7	shown	show	VERB
ejpam-1980	52	8	that	that	SCONJ
ejpam-1980	52	9	a	a	DET
ejpam-1980	52	10	subgroup	subgroup	NOUN
ejpam-1980	52	11	h	h	NOUN
ejpam-1980	52	12	of	of	ADP
ejpam-1980	52	13	gl(n	gl(n	PUNCT
ejpam-1980	52	14	,	,	PUNCT
ejpam-1980	52	15	r	r	NOUN
ejpam-1980	52	16	)	)	PUNCT
ejpam-1980	52	17	is	be	AUX
ejpam-1980	52	18	admissible	admissible	ADJ
ejpam-1980	52	19	if	if	SCONJ
ejpam-1980	52	20	and	and	CCONJ
ejpam-1980	52	21	only	only	ADV
ejpam-1980	52	22	if	if	SCONJ
ejpam-1980	52	23	there	there	PRON
ejpam-1980	52	24	exists	exist	VERB
ejpam-1980	52	25	ψ	ψ	X
ejpam-1980	52	26	∈	∈	PROPN
ejpam-1980	52	27	l2(rn	l2(rn	PROPN
ejpam-1980	52	28	)	)	PUNCT
ejpam-1980	52	29	such	such	ADJ
ejpam-1980	52	30	that	that	DET
ejpam-1980	52	31	∫	∫	PROPN
ejpam-1980	52	32	h	h	PROPN
ejpam-1980	52	33	|òψ(ωh)|2dµh(h	|òψ(ωh)|2dµh(h	PUNCT
ejpam-1980	52	34	)	)	PUNCT
ejpam-1980	52	35	=	=	SYM
ejpam-1980	52	36	1	1	NUM
ejpam-1980	52	37	for	for	ADP
ejpam-1980	52	38	a.e	a.e	PROPN
ejpam-1980	52	39	.	.	PROPN
ejpam-1980	52	40	ω	ω	PROPN
ejpam-1980	52	41	∈	∈	PROPN
ejpam-1980	52	42	rn	rn	PROPN
ejpam-1980	52	43	.	.	PUNCT
ejpam-1980	53	1	a	a	DET
ejpam-1980	53	2	straightforward	straightforward	ADJ
ejpam-1980	53	3	calculation	calculation	NOUN
ejpam-1980	53	4	gives	give	VERB
ejpam-1980	53	5	that	that	PRON
ejpam-1980	53	6	h	h	NOUN
ejpam-1980	53	7	≤	≤	NOUN
ejpam-1980	53	8	gl(n	gl(n	PUNCT
ejpam-1980	53	9	,	,	PUNCT
ejpam-1980	53	10	r	r	NOUN
ejpam-1980	53	11	)	)	PUNCT
ejpam-1980	53	12	is	be	AUX
ejpam-1980	53	13	admissible	admissible	ADJ
ejpam-1980	53	14	if	if	SCONJ
ejpam-1980	54	1	and	and	CCONJ
ejpam-1980	54	2	only	only	ADV
ejpam-1980	54	3	if	if	SCONJ
ejpam-1980	54	4	there	there	PRON
ejpam-1980	54	5	exists	exist	VERB
ejpam-1980	54	6	a	a	DET
ejpam-1980	54	7	borel	borel	NOUN
ejpam-1980	54	8	measurable	measurable	ADJ
ejpam-1980	54	9	function	function	NOUN
ejpam-1980	54	10	g	g	PROPN
ejpam-1980	54	11	∈	∈	PROPN
ejpam-1980	54	12	l1(rn	l1(rn	PROPN
ejpam-1980	54	13	)	)	PUNCT
ejpam-1980	55	1	such	such	ADJ
ejpam-1980	55	2	that	that	SCONJ
ejpam-1980	55	3	g	g	PROPN
ejpam-1980	55	4	≥	≥	NOUN
ejpam-1980	55	5	0	0	NUM
ejpam-1980	55	6	and	and	CCONJ
ejpam-1980	55	7	∫	∫	PROPN
ejpam-1980	55	8	h	h	PROPN
ejpam-1980	55	9	g(ht	g(ht	NOUN
ejpam-1980	55	10	x)dµh(h	x)dµh(h	NUM
ejpam-1980	55	11	)	)	PUNCT
ejpam-1980	55	12	=	=	SYM
ejpam-1980	55	13	1	1	NUM
ejpam-1980	55	14	for	for	ADP
ejpam-1980	55	15	a.e	a.e	PROPN
ejpam-1980	55	16	.	.	PUNCT
ejpam-1980	55	17	x	x	PROPN
ejpam-1980	55	18	∈	∈	PROPN
ejpam-1980	55	19	rn	rn	PROPN
ejpam-1980	55	20	,	,	PUNCT
ejpam-1980	55	21	(	(	PUNCT
ejpam-1980	55	22	4	4	NUM
ejpam-1980	55	23	)	)	PUNCT
ejpam-1980	55	24	in	in	ADP
ejpam-1980	55	25	which	which	PRON
ejpam-1980	55	26	ht	ht	PROPN
ejpam-1980	55	27	is	be	AUX
ejpam-1980	55	28	the	the	DET
ejpam-1980	55	29	transpose	transpose	NOUN
ejpam-1980	55	30	of	of	ADP
ejpam-1980	55	31	h.	h.	PROPN
ejpam-1980	55	32	for	for	ADP
ejpam-1980	55	33	example	example	NOUN
ejpam-1980	55	34	,	,	PUNCT
ejpam-1980	55	35	with	with	ADP
ejpam-1980	55	36	the	the	DET
ejpam-1980	55	37	natural	natural	ADJ
ejpam-1980	55	38	action	action	NOUN
ejpam-1980	55	39	on	on	ADP
ejpam-1980	55	40	r2	r2	PROPN
ejpam-1980	55	41	the	the	DET
ejpam-1980	55	42	affine	affine	NOUN
ejpam-1980	55	43	group	group	NOUN
ejpam-1980	55	44	r	r	NOUN
ejpam-1980	55	45	\	\	PROPN
ejpam-1980	55	46	{	{	PUNCT
ejpam-1980	55	47	0	0	NUM
ejpam-1980	55	48	}	}	PUNCT
ejpam-1980	55	49	×τ	×τ	NOUN
ejpam-1980	55	50	r	r	NOUN
ejpam-1980	55	51	is	be	AUX
ejpam-1980	55	52	admissible	admissible	ADJ
ejpam-1980	55	53	.	.	PUNCT
ejpam-1980	56	1	the	the	DET
ejpam-1980	56	2	best	good	ADJ
ejpam-1980	56	3	results	result	NOUN
ejpam-1980	56	4	are	be	AUX
ejpam-1980	56	5	due	due	ADJ
ejpam-1980	56	6	to	to	ADP
ejpam-1980	56	7	laugesen	laugesen	PROPN
ejpam-1980	56	8	et	et	PROPN
ejpam-1980	56	9	al	al	PROPN
ejpam-1980	56	10	.	.	PROPN
ejpam-1980	56	11	proved	prove	VERB
ejpam-1980	56	12	in	in	ADP
ejpam-1980	56	13	[	[	X
ejpam-1980	56	14	11	11	NUM
ejpam-1980	56	15	]	]	PUNCT
ejpam-1980	56	16	is	be	AUX
ejpam-1980	56	17	a	a	DET
ejpam-1980	56	18	characterization	characterization	NOUN
ejpam-1980	56	19	of	of	ADP
ejpam-1980	56	20	those	those	DET
ejpam-1980	56	21	admissible	admissible	ADJ
ejpam-1980	56	22	groups	group	NOUN
ejpam-1980	56	23	which	which	PRON
ejpam-1980	56	24	admit	admit	VERB
ejpam-1980	56	25	an	an	DET
ejpam-1980	56	26	inversion	inversion	NOUN
ejpam-1980	56	27	formula	formula	NOUN
ejpam-1980	56	28	;	;	PUNCT
ejpam-1980	56	29	a.	a.	NOUN
ejpam-1980	56	30	arefijamaal	arefijamaal	NOUN
ejpam-1980	56	31	,	,	PUNCT
ejpam-1980	56	32	m.	m.	NOUN
ejpam-1980	56	33	karizaki	karizaki	PROPN
ejpam-1980	56	34	/	/	SYM
ejpam-1980	56	35	eur	eur	PROPN
ejpam-1980	56	36	.	.	PUNCT
ejpam-1980	57	1	j.	j.	PROPN
ejpam-1980	57	2	pure	pure	PROPN
ejpam-1980	57	3	appl	appl	PROPN
ejpam-1980	57	4	.	.	PROPN
ejpam-1980	57	5	math	math	PROPN
ejpam-1980	57	6	,	,	PUNCT
ejpam-1980	57	7	8	8	NUM
ejpam-1980	57	8	(	(	PUNCT
ejpam-1980	57	9	2015	2015	NUM
ejpam-1980	57	10	)	)	PUNCT
ejpam-1980	57	11	,	,	PUNCT
ejpam-1980	57	12	368	368	NUM
ejpam-1980	57	13	-	-	SYM
ejpam-1980	57	14	374	374	NUM
ejpam-1980	57	15	371	371	NUM
ejpam-1980	57	16	theorem	theorem	VERB
ejpam-1980	57	17	1	1	NUM
ejpam-1980	57	18	(	(	PUNCT
ejpam-1980	57	19	[	[	X
ejpam-1980	57	20	11	11	NUM
ejpam-1980	57	21	]	]	NUM
ejpam-1980	57	22	)	)	PUNCT
ejpam-1980	57	23	.	.	PUNCT
ejpam-1980	58	1	let	let	VERB
ejpam-1980	58	2	h	h	PRON
ejpam-1980	58	3	be	be	AUX
ejpam-1980	58	4	a	a	DET
ejpam-1980	58	5	σ	σ	NOUN
ejpam-1980	58	6	-	-	ADJ
ejpam-1980	58	7	compact	compact	ADJ
ejpam-1980	58	8	,	,	PUNCT
ejpam-1980	58	9	locally	locally	ADV
ejpam-1980	58	10	compact	compact	ADJ
ejpam-1980	58	11	group	group	NOUN
ejpam-1980	58	12	,	,	PUNCT
ejpam-1980	58	13	and	and	CCONJ
ejpam-1980	58	14	h	h	NOUN
ejpam-1980	58	15	7−→	7−→	NOUN
ejpam-1980	58	16	τh	τh	ADP
ejpam-1980	58	17	from	from	ADP
ejpam-1980	58	18	h	h	NOUN
ejpam-1980	58	19	to	to	ADP
ejpam-1980	58	20	gl(n	gl(n	PUNCT
ejpam-1980	58	21	,	,	PUNCT
ejpam-1980	58	22	r	r	AUX
ejpam-1980	58	23	)	)	PUNCT
ejpam-1980	58	24	be	be	AUX
ejpam-1980	58	25	a	a	DET
ejpam-1980	58	26	continuous	continuous	ADJ
ejpam-1980	58	27	homomorphism	homomorphism	NOUN
ejpam-1980	58	28	.	.	PUNCT
ejpam-1980	59	1	then	then	ADV
ejpam-1980	59	2	(	(	PUNCT
ejpam-1980	59	3	i	i	NOUN
ejpam-1980	59	4	)	)	PUNCT
ejpam-1980	59	5	if	if	SCONJ
ejpam-1980	59	6	h	h	NOUN
ejpam-1980	59	7	is	be	AUX
ejpam-1980	59	8	admissible	admissible	ADJ
ejpam-1980	59	9	,	,	PUNCT
ejpam-1980	59	10	then	then	ADV
ejpam-1980	59	11	∆h	∆h	PROPN
ejpam-1980	59	12	6≡	6≡	NUM
ejpam-1980	59	13	δ	δ	NOUN
ejpam-1980	59	14	−1	−1	NOUN
ejpam-1980	59	15	and	and	CCONJ
ejpam-1980	59	16	hω	hω	ADV
ejpam-1980	59	17	is	be	AUX
ejpam-1980	59	18	compact	compact	ADJ
ejpam-1980	59	19	for	for	ADP
ejpam-1980	59	20	a.e	a.e	PROPN
ejpam-1980	59	21	.	.	PROPN
ejpam-1980	59	22	ω	ω	PROPN
ejpam-1980	59	23	∈	∈	PROPN
ejpam-1980	59	24	rn	rn	PROPN
ejpam-1980	59	25	.	.	PROPN
ejpam-1980	59	26	(	(	PUNCT
ejpam-1980	59	27	ii	ii	NOUN
ejpam-1980	59	28	)	)	PUNCT
ejpam-1980	59	29	if	if	SCONJ
ejpam-1980	59	30	∆h	∆h	PROPN
ejpam-1980	59	31	6≡	6≡	NUM
ejpam-1980	59	32	δ	δ	NOUN
ejpam-1980	59	33	−1	−1	NOUN
ejpam-1980	59	34	and	and	CCONJ
ejpam-1980	59	35	for	for	ADP
ejpam-1980	59	36	a.e	a.e	PROPN
ejpam-1980	59	37	.	.	PROPN
ejpam-1980	59	38	ω	ω	PROPN
ejpam-1980	59	39	∈	∈	PROPN
ejpam-1980	59	40	rn	rn	PROPN
ejpam-1980	59	41	there	there	PRON
ejpam-1980	59	42	exists	exist	VERB
ejpam-1980	59	43	an	an	DET
ejpam-1980	59	44	ε	ε	PROPN
ejpam-1980	59	45	>	>	X
ejpam-1980	59	46	0	0	NUM
ejpam-1980	59	47	such	such	ADJ
ejpam-1980	59	48	that	that	SCONJ
ejpam-1980	59	49	hωε	hωε	ADV
ejpam-1980	59	50	=	=	SYM
ejpam-1980	59	51	{	{	PUNCT
ejpam-1980	59	52	h	h	NOUN
ejpam-1980	59	53	∈	∈	PROPN
ejpam-1980	59	54	h	h	NOUN
ejpam-1980	59	55	;	;	PUNCT
ejpam-1980	59	56	‖ω	‖ω	NOUN
ejpam-1980	59	57	◦	◦	NOUN
ejpam-1980	59	58	τh	τh	ADP
ejpam-1980	59	59	−ω‖	−ω‖	PROPN
ejpam-1980	59	60	≤	≤	X
ejpam-1980	59	61	ε	ε	PROPN
ejpam-1980	59	62	}	}	PUNCT
ejpam-1980	59	63	,	,	PUNCT
ejpam-1980	59	64	the	the	DET
ejpam-1980	59	65	ε	ε	NOUN
ejpam-1980	59	66	-	-	PUNCT
ejpam-1980	59	67	stabilizer	stabilizer	NOUN
ejpam-1980	59	68	of	of	ADP
ejpam-1980	59	69	ω	ω	NUM
ejpam-1980	59	70	,	,	PUNCT
ejpam-1980	59	71	is	be	AUX
ejpam-1980	59	72	compact	compact	ADJ
ejpam-1980	59	73	,	,	PUNCT
ejpam-1980	59	74	then	then	ADV
ejpam-1980	59	75	h	h	NOUN
ejpam-1980	59	76	is	be	AUX
ejpam-1980	59	77	admissible	admissible	ADJ
ejpam-1980	59	78	.	.	PUNCT
ejpam-1980	60	1	proposition	proposition	NOUN
ejpam-1980	60	2	1	1	NUM
ejpam-1980	60	3	.	.	X
ejpam-1980	61	1	for	for	ADP
ejpam-1980	61	2	any	any	DET
ejpam-1980	61	3	n	n	CCONJ
ejpam-1980	61	4	>	>	X
ejpam-1980	61	5	1	1	NUM
ejpam-1980	61	6	the	the	DET
ejpam-1980	61	7	group	group	NOUN
ejpam-1980	61	8	gl(n	gl(n	X
ejpam-1980	61	9	,	,	PUNCT
ejpam-1980	61	10	r	r	NOUN
ejpam-1980	61	11	)	)	PUNCT
ejpam-1980	61	12	is	be	AUX
ejpam-1980	61	13	not	not	PART
ejpam-1980	61	14	admissible	admissible	ADJ
ejpam-1980	61	15	.	.	PUNCT
ejpam-1980	62	1	proof	proof	NOUN
ejpam-1980	62	2	.	.	PUNCT
ejpam-1980	63	1	assume	assume	VERB
ejpam-1980	63	2	that	that	SCONJ
ejpam-1980	63	3	h	h	NOUN
ejpam-1980	63	4	=	=	PUNCT
ejpam-1980	63	5	gl(n	gl(n	X
ejpam-1980	63	6	,	,	PUNCT
ejpam-1980	63	7	r	r	NOUN
ejpam-1980	63	8	)	)	PUNCT
ejpam-1980	63	9	.	.	PUNCT
ejpam-1980	64	1	it	it	PRON
ejpam-1980	64	2	is	be	AUX
ejpam-1980	64	3	sufficient	sufficient	ADJ
ejpam-1980	64	4	to	to	PART
ejpam-1980	64	5	show	show	VERB
ejpam-1980	64	6	that	that	SCONJ
ejpam-1980	64	7	the	the	DET
ejpam-1980	64	8	stabilizers	stabilizer	NOUN
ejpam-1980	64	9	hω	hω	ADP
ejpam-1980	64	10	,	,	PUNCT
ejpam-1980	64	11	for	for	ADP
ejpam-1980	64	12	all	all	DET
ejpam-1980	64	13	ω	ω	NOUN
ejpam-1980	64	14	in	in	ADP
ejpam-1980	64	15	a	a	DET
ejpam-1980	64	16	positive	positive	ADJ
ejpam-1980	64	17	lebesgue	lebesgue	NOUN
ejpam-1980	64	18	measure	measure	NOUN
ejpam-1980	64	19	subset	subset	NOUN
ejpam-1980	64	20	of	of	ADP
ejpam-1980	64	21	rn	rn	PROPN
ejpam-1980	64	22	,	,	PUNCT
ejpam-1980	64	23	are	be	AUX
ejpam-1980	64	24	not	not	PART
ejpam-1980	64	25	compact	compact	ADJ
ejpam-1980	64	26	.	.	PUNCT
ejpam-1980	65	1	let	let	VERB
ejpam-1980	65	2	e	e	NOUN
ejpam-1980	65	3	=	=	PRON
ejpam-1980	65	4	{	{	PUNCT
ejpam-1980	65	5	ω	ω	NUM
ejpam-1980	65	6	∈	∈	PROPN
ejpam-1980	65	7	rn;ωi	rn;ωi	X
ejpam-1980	65	8	>	>	X
ejpam-1980	65	9	0	0	NUM
ejpam-1980	65	10	}	}	PUNCT
ejpam-1980	65	11	.	.	PUNCT
ejpam-1980	66	1	then	then	ADV
ejpam-1980	66	2	the	the	DET
ejpam-1980	66	3	equation	equation	NOUN
ejpam-1980	66	4	htω	htω	NOUN
ejpam-1980	66	5	=	=	PROPN
ejpam-1980	66	6	ω	ω	PROPN
ejpam-1980	66	7	can	can	AUX
ejpam-1980	66	8	be	be	AUX
ejpam-1980	66	9	solved	solve	VERB
ejpam-1980	66	10	with	with	ADP
ejpam-1980	66	11	respect	respect	NOUN
ejpam-1980	66	12	to	to	ADP
ejpam-1980	66	13	any	any	DET
ejpam-1980	66	14	ω	ω	PROPN
ejpam-1980	66	15	∈	∈	PROPN
ejpam-1980	66	16	e.	e.	PROPN
ejpam-1980	66	17	in	in	ADP
ejpam-1980	66	18	fact	fact	NOUN
ejpam-1980	66	19	,	,	PUNCT
ejpam-1980	66	20	we	we	PRON
ejpam-1980	66	21	may	may	AUX
ejpam-1980	66	22	find	find	VERB
ejpam-1980	66	23	solutions	solution	NOUN
ejpam-1980	66	24	h	h	NOUN
ejpam-1980	66	25	∈	∈	NOUN
ejpam-1980	66	26	h	h	NOUN
ejpam-1980	66	27	whose	whose	DET
ejpam-1980	66	28	some	some	DET
ejpam-1980	66	29	arrays	array	NOUN
ejpam-1980	66	30	are	be	AUX
ejpam-1980	66	31	arbitrary	arbitrary	ADJ
ejpam-1980	66	32	large	large	ADJ
ejpam-1980	66	33	.	.	PUNCT
ejpam-1980	67	1	so	so	ADV
ejpam-1980	67	2	that	that	SCONJ
ejpam-1980	67	3	hω	hω	INTJ
ejpam-1980	67	4	is	be	AUX
ejpam-1980	67	5	not	not	PART
ejpam-1980	67	6	compact	compact	ADJ
ejpam-1980	67	7	for	for	ADP
ejpam-1980	67	8	all	all	DET
ejpam-1980	67	9	ω	ω	PROPN
ejpam-1980	67	10	∈	∈	PROPN
ejpam-1980	67	11	e.	e.	NOUN
ejpam-1980	67	12	the	the	DET
ejpam-1980	67	13	structure	structure	NOUN
ejpam-1980	67	14	of	of	ADP
ejpam-1980	67	15	stabilizers	stabilizer	NOUN
ejpam-1980	67	16	of	of	ADP
ejpam-1980	67	17	a	a	DET
ejpam-1980	67	18	group	group	NOUN
ejpam-1980	67	19	and	and	CCONJ
ejpam-1980	67	20	its	its	PRON
ejpam-1980	67	21	subgroup	subgroup	NOUN
ejpam-1980	67	22	are	be	AUX
ejpam-1980	67	23	almost	almost	ADV
ejpam-1980	67	24	the	the	DET
ejpam-1980	67	25	same	same	ADJ
ejpam-1980	67	26	.	.	PUNCT
ejpam-1980	68	1	let	let	VERB
ejpam-1980	68	2	h	h	PRON
ejpam-1980	68	3	be	be	AUX
ejpam-1980	68	4	an	an	DET
ejpam-1980	68	5	admissible	admissible	ADJ
ejpam-1980	68	6	group	group	NOUN
ejpam-1980	68	7	and	and	CCONJ
ejpam-1980	68	8	l	l	NOUN
ejpam-1980	68	9	≤	≤	PROPN
ejpam-1980	69	1	h.	h.	NOUN
ejpam-1980	69	2	then	then	ADV
ejpam-1980	69	3	lω	lω	INTJ
ejpam-1980	69	4	is	be	AUX
ejpam-1980	69	5	compact	compact	ADJ
ejpam-1980	69	6	for	for	ADP
ejpam-1980	70	1	a.e	a.e	PROPN
ejpam-1980	70	2	.	.	PROPN
ejpam-1980	70	3	ω	ω	PROPN
ejpam-1980	70	4	∈	∈	PROPN
ejpam-1980	71	1	rn	rn	NOUN
ejpam-1980	71	2	since	since	SCONJ
ejpam-1980	71	3	it	it	PRON
ejpam-1980	71	4	is	be	AUX
ejpam-1980	71	5	a	a	DET
ejpam-1980	71	6	closed	closed	ADJ
ejpam-1980	71	7	subgroup	subgroup	NOUN
ejpam-1980	71	8	of	of	ADP
ejpam-1980	71	9	hω	hω	PROPN
ejpam-1980	71	10	.	.	PUNCT
ejpam-1980	72	1	but	but	CCONJ
ejpam-1980	72	2	the	the	DET
ejpam-1980	72	3	condition	condition	NOUN
ejpam-1980	72	4	∆h	∆h	NOUN
ejpam-1980	72	5	6≡	6≡	NUM
ejpam-1980	72	6	|det|	|det|	NOUN
ejpam-1980	72	7	about	about	ADP
ejpam-1980	72	8	h	h	NOUN
ejpam-1980	72	9	and	and	CCONJ
ejpam-1980	72	10	l	l	NOUN
ejpam-1980	72	11	may	may	AUX
ejpam-1980	72	12	be	be	AUX
ejpam-1980	72	13	different	different	ADJ
ejpam-1980	72	14	.	.	PUNCT
ejpam-1980	73	1	for	for	ADP
ejpam-1980	73	2	example	example	NOUN
ejpam-1980	73	3	,	,	PUNCT
ejpam-1980	73	4	the	the	DET
ejpam-1980	73	5	group	group	NOUN
ejpam-1980	73	6	sl(2,r	sl(2,r	NOUN
ejpam-1980	73	7	)	)	PUNCT
ejpam-1980	73	8	and	and	CCONJ
ejpam-1980	73	9	its	its	PRON
ejpam-1980	73	10	subgroup	subgroup	NOUN
ejpam-1980	73	11	k	k	PROPN
ejpam-1980	73	12	=	=	PUNCT
ejpam-1980	73	13	�	�	PROPN
ejpam-1980	73	14	�	�	PROPN
ejpam-1980	73	15	1	1	NUM
ejpam-1980	73	16	y	y	PROPN
ejpam-1980	73	17	0	0	NUM
ejpam-1980	73	18	1	1	NUM
ejpam-1980	73	19	�	�	PROPN
ejpam-1980	73	20	,	,	PUNCT
ejpam-1980	73	21	y	y	PROPN
ejpam-1980	73	22	∈	∈	PROPN
ejpam-1980	73	23	r	r	NOUN
ejpam-1980	73	24	�	�	PROPN
ejpam-1980	73	25	are	be	AUX
ejpam-1980	73	26	not	not	PART
ejpam-1980	73	27	admissible	admissible	ADJ
ejpam-1980	73	28	by	by	ADP
ejpam-1980	73	29	theorem	theorem	NOUN
ejpam-1980	73	30	1	1	NUM
ejpam-1980	73	31	.	.	PUNCT
ejpam-1980	74	1	although	although	SCONJ
ejpam-1980	74	2	the	the	DET
ejpam-1980	74	3	subgroup	subgroup	NOUN
ejpam-1980	74	4	h	h	NOUN
ejpam-1980	74	5	=	=	SYM
ejpam-1980	74	6	�	�	PROPN
ejpam-1980	74	7	�	�	PROPN
ejpam-1980	74	8	x	x	SYM
ejpam-1980	74	9	y	y	PROPN
ejpam-1980	74	10	0	0	NUM
ejpam-1980	74	11	x−1	x−1	PROPN
ejpam-1980	74	12	�	�	PROPN
ejpam-1980	74	13	x	x	SYM
ejpam-1980	74	14	6=	6=	PROPN
ejpam-1980	74	15	0	0	NUM
ejpam-1980	74	16	,	,	PUNCT
ejpam-1980	74	17	y	y	PROPN
ejpam-1980	74	18	∈	∈	PROPN
ejpam-1980	74	19	r	r	NOUN
ejpam-1980	74	20	�	�	PROPN
ejpam-1980	74	21	of	of	ADP
ejpam-1980	74	22	sl(2,r	sl(2,r	NOUN
ejpam-1980	74	23	)	)	PUNCT
ejpam-1980	74	24	is	be	AUX
ejpam-1980	74	25	admissible	admissible	ADJ
ejpam-1980	74	26	[	[	X
ejpam-1980	74	27	11	11	NUM
ejpam-1980	74	28	]	]	PUNCT
ejpam-1980	74	29	.	.	PUNCT
ejpam-1980	75	1	the	the	DET
ejpam-1980	75	2	following	follow	VERB
ejpam-1980	75	3	theorem	theorem	NOUN
ejpam-1980	75	4	is	be	AUX
ejpam-1980	75	5	about	about	ADP
ejpam-1980	75	6	the	the	DET
ejpam-1980	75	7	admissibility	admissibility	NOUN
ejpam-1980	75	8	of	of	ADP
ejpam-1980	75	9	h	h	NOUN
ejpam-1980	75	10	and	and	CCONJ
ejpam-1980	75	11	h	h	PROPN
ejpam-1980	75	12	t	t	PROPN
ejpam-1980	75	13	.	.	PUNCT
ejpam-1980	76	1	theorem	theorem	NOUN
ejpam-1980	76	2	2	2	NUM
ejpam-1980	76	3	.	.	PUNCT
ejpam-1980	76	4	a	a	DET
ejpam-1980	76	5	closed	closed	ADJ
ejpam-1980	76	6	unimodular	unimodular	ADJ
ejpam-1980	76	7	subgroup	subgroup	NOUN
ejpam-1980	76	8	h	h	NOUN
ejpam-1980	76	9	of	of	ADP
ejpam-1980	76	10	gl(n	gl(n	PROPN
ejpam-1980	76	11	,	,	PUNCT
ejpam-1980	76	12	r	r	NOUN
ejpam-1980	76	13	)	)	PUNCT
ejpam-1980	76	14	is	be	AUX
ejpam-1980	76	15	admissible	admissible	ADJ
ejpam-1980	76	16	if	if	SCONJ
ejpam-1980	77	1	and	and	CCONJ
ejpam-1980	77	2	only	only	ADV
ejpam-1980	77	3	if	if	SCONJ
ejpam-1980	77	4	h	h	PROPN
ejpam-1980	77	5	t	t	PROPN
ejpam-1980	77	6	is	be	AUX
ejpam-1980	77	7	admissible	admissible	ADJ
ejpam-1980	77	8	.	.	PUNCT
ejpam-1980	78	1	proof	proof	NOUN
ejpam-1980	78	2	.	.	PUNCT
ejpam-1980	79	1	first	first	ADV
ejpam-1980	79	2	we	we	PRON
ejpam-1980	79	3	would	would	AUX
ejpam-1980	79	4	like	like	VERB
ejpam-1980	79	5	to	to	PART
ejpam-1980	79	6	compute	compute	VERB
ejpam-1980	79	7	∆h	∆h	PROPN
ejpam-1980	79	8	t	t	PROPN
ejpam-1980	79	9	,	,	PUNCT
ejpam-1980	79	10	the	the	DET
ejpam-1980	79	11	modular	modular	ADJ
ejpam-1980	79	12	function	function	NOUN
ejpam-1980	79	13	of	of	ADP
ejpam-1980	79	14	h	h	PROPN
ejpam-1980	79	15	t	t	PROPN
ejpam-1980	79	16	.	.	PUNCT
ejpam-1980	80	1	clearly	clearly	ADV
ejpam-1980	80	2	ν(e	ν(e	NOUN
ejpam-1980	80	3	)	)	PUNCT
ejpam-1980	81	1	=	=	PUNCT
ejpam-1980	81	2	µh	µh	ADP
ejpam-1980	81	3	t	t	PROPN
ejpam-1980	81	4	(	(	PUNCT
ejpam-1980	81	5	e	e	NOUN
ejpam-1980	81	6	t	t	PROPN
ejpam-1980	81	7	)	)	PUNCT
ejpam-1980	81	8	defines	define	VERB
ejpam-1980	81	9	a	a	DET
ejpam-1980	81	10	right	right	ADJ
ejpam-1980	81	11	haar	haar	NOUN
ejpam-1980	81	12	measure	measure	NOUN
ejpam-1980	81	13	on	on	ADP
ejpam-1980	81	14	h	h	NOUN
ejpam-1980	81	15	,	,	PUNCT
ejpam-1980	81	16	so	so	ADV
ejpam-1980	81	17	µh(e	µh(e	PUNCT
ejpam-1980	81	18	−1	−1	NOUN
ejpam-1980	81	19	)	)	PUNCT
ejpam-1980	82	1	=	=	VERB
ejpam-1980	82	2	cµh	cµh	PROPN
ejpam-1980	82	3	t	t	PROPN
ejpam-1980	82	4	(	(	PUNCT
ejpam-1980	82	5	e	e	PROPN
ejpam-1980	82	6	t	t	PROPN
ejpam-1980	82	7	)	)	PUNCT
ejpam-1980	82	8	for	for	ADP
ejpam-1980	82	9	all	all	DET
ejpam-1980	82	10	borel	borel	NOUN
ejpam-1980	82	11	sets	set	NOUN
ejpam-1980	82	12	e	e	PROPN
ejpam-1980	82	13	of	of	ADP
ejpam-1980	82	14	h	h	NOUN
ejpam-1980	82	15	and	and	CCONJ
ejpam-1980	82	16	for	for	ADP
ejpam-1980	82	17	some	some	DET
ejpam-1980	82	18	c	c	PROPN
ejpam-1980	82	19	>	>	X
ejpam-1980	82	20	0	0	X
ejpam-1980	82	21	.	.	PUNCT
ejpam-1980	83	1	this	this	PRON
ejpam-1980	83	2	implies	imply	VERB
ejpam-1980	83	3	that	that	SCONJ
ejpam-1980	83	4	∆h	∆h	PROPN
ejpam-1980	83	5	t	t	PROPN
ejpam-1980	83	6	(	(	PUNCT
ejpam-1980	83	7	ht	ht	PROPN
ejpam-1980	83	8	)	)	PUNCT
ejpam-1980	83	9	=	=	PUNCT
ejpam-1980	84	1	µh	µh	ADP
ejpam-1980	84	2	t	t	PROPN
ejpam-1980	84	3	(	(	PUNCT
ejpam-1980	84	4	eht	eht	PROPN
ejpam-1980	84	5	)	)	PUNCT
ejpam-1980	85	1	µh	µh	ADP
ejpam-1980	85	2	t	t	PROPN
ejpam-1980	85	3	(	(	PUNCT
ejpam-1980	85	4	e	e	NOUN
ejpam-1980	85	5	)	)	PUNCT
ejpam-1980	85	6	=	=	SYM
ejpam-1980	85	7	µh((he	µh((he	ADP
ejpam-1980	85	8	t)−1	t)−1	NOUN
ejpam-1980	85	9	)	)	PUNCT
ejpam-1980	85	10	µh((e	µh((e	ADV
ejpam-1980	85	11	t)−1	t)−1	NOUN
ejpam-1980	85	12	)	)	PUNCT
ejpam-1980	85	13	=	=	PUNCT
ejpam-1980	85	14	∆h(h	∆h(h	VERB
ejpam-1980	85	15	−1	−1	NOUN
ejpam-1980	85	16	)	)	PUNCT
ejpam-1980	85	17	i.e.	i.e.	X
ejpam-1980	85	18	∆h	∆h	PROPN
ejpam-1980	85	19	t	t	NOUN
ejpam-1980	85	20	=	=	SYM
ejpam-1980	85	21	∆−1	∆−1	NOUN
ejpam-1980	85	22	h	h	NOUN
ejpam-1980	85	23	.	.	PUNCT
ejpam-1980	86	1	now	now	ADV
ejpam-1980	86	2	assume	assume	VERB
ejpam-1980	86	3	that	that	SCONJ
ejpam-1980	86	4	h	h	NOUN
ejpam-1980	86	5	is	be	AUX
ejpam-1980	86	6	admissible	admissible	ADJ
ejpam-1980	86	7	,	,	PUNCT
ejpam-1980	86	8	then	then	ADV
ejpam-1980	86	9	there	there	PRON
ejpam-1980	86	10	exists	exist	VERB
ejpam-1980	86	11	a	a	DET
ejpam-1980	86	12	non	non	ADJ
ejpam-1980	86	13	-	-	ADJ
ejpam-1980	86	14	negative	negative	ADJ
ejpam-1980	86	15	g	g	PROPN
ejpam-1980	86	16	∈	∈	PROPN
ejpam-1980	86	17	l1(rn	l1(rn	PROPN
ejpam-1980	86	18	)	)	PUNCT
ejpam-1980	86	19	such	such	ADJ
ejpam-1980	86	20	that	that	SCONJ
ejpam-1980	86	21	(	(	PUNCT
ejpam-1980	86	22	4	4	X
ejpam-1980	86	23	)	)	PUNCT
ejpam-1980	86	24	holds	hold	VERB
ejpam-1980	86	25	.	.	PUNCT
ejpam-1980	87	1	this	this	PRON
ejpam-1980	87	2	implies	imply	VERB
ejpam-1980	87	3	that	that	SCONJ
ejpam-1980	87	4	∫	∫	PROPN
ejpam-1980	87	5	h	h	PROPN
ejpam-1980	87	6	t	t	PROPN
ejpam-1980	87	7	g(hx)dµh	g(hx)dµh	PROPN
ejpam-1980	87	8	t	t	PROPN
ejpam-1980	87	9	(	(	PUNCT
ejpam-1980	87	10	ht	ht	PROPN
ejpam-1980	87	11	)	)	PUNCT
ejpam-1980	87	12	=	=	SYM
ejpam-1980	88	1	∫	∫	PROPN
ejpam-1980	88	2	h	h	NOUN
ejpam-1980	88	3	g(ht	g(ht	NOUN
ejpam-1980	88	4	x)dµh(h	x)dµh(h	PROPN
ejpam-1980	88	5	−1	−1	NOUN
ejpam-1980	88	6	)	)	PUNCT
ejpam-1980	88	7	a.	a.	NOUN
ejpam-1980	88	8	arefijamaal	arefijamaal	NOUN
ejpam-1980	88	9	,	,	PUNCT
ejpam-1980	88	10	m.	m.	NOUN
ejpam-1980	88	11	karizaki	karizaki	PROPN
ejpam-1980	88	12	/	/	SYM
ejpam-1980	88	13	eur	eur	PROPN
ejpam-1980	88	14	.	.	PUNCT
ejpam-1980	89	1	j.	j.	PROPN
ejpam-1980	89	2	pure	pure	PROPN
ejpam-1980	89	3	appl	appl	PROPN
ejpam-1980	89	4	.	.	PROPN
ejpam-1980	89	5	math	math	PROPN
ejpam-1980	89	6	,	,	PUNCT
ejpam-1980	89	7	8	8	NUM
ejpam-1980	89	8	(	(	PUNCT
ejpam-1980	89	9	2015	2015	NUM
ejpam-1980	89	10	)	)	PUNCT
ejpam-1980	89	11	,	,	PUNCT
ejpam-1980	89	12	368	368	NUM
ejpam-1980	89	13	-	-	SYM
ejpam-1980	89	14	374	374	NUM
ejpam-1980	89	15	372	372	NUM
ejpam-1980	89	16	=	=	SYM
ejpam-1980	89	17	∫	∫	PROPN
ejpam-1980	89	18	h	h	NOUN
ejpam-1980	89	19	g(ht	g(ht	VERB
ejpam-1980	89	20	x)∆h(h	x)∆h(h	VERB
ejpam-1980	89	21	−1)dµh(h	−1)dµh(h	NOUN
ejpam-1980	89	22	)	)	PUNCT
ejpam-1980	89	23	=	=	SYM
ejpam-1980	90	1	∫	∫	PROPN
ejpam-1980	90	2	h	h	NOUN
ejpam-1980	90	3	g(ht	g(ht	NOUN
ejpam-1980	90	4	x)dµh(h	x)dµh(h	NOUN
ejpam-1980	90	5	)	)	PUNCT
ejpam-1980	90	6	=	=	SYM
ejpam-1980	90	7	1	1	NUM
ejpam-1980	90	8	,	,	PUNCT
ejpam-1980	90	9	for	for	ADP
ejpam-1980	90	10	a.e	a.e	PROPN
ejpam-1980	90	11	.	.	PUNCT
ejpam-1980	90	12	x	x	PROPN
ejpam-1980	90	13	∈	∈	PROPN
ejpam-1980	90	14	rn	rn	PROPN
ejpam-1980	90	15	.	.	PROPN
ejpam-1980	91	1	therefore	therefore	ADV
ejpam-1980	91	2	,	,	PUNCT
ejpam-1980	91	3	h	h	PROPN
ejpam-1980	91	4	t	t	PROPN
ejpam-1980	91	5	is	be	AUX
ejpam-1980	91	6	admissible	admissible	ADJ
ejpam-1980	91	7	.	.	PUNCT
ejpam-1980	92	1	the	the	DET
ejpam-1980	92	2	following	follow	VERB
ejpam-1980	92	3	example	example	NOUN
ejpam-1980	92	4	shows	show	VERB
ejpam-1980	92	5	that	that	SCONJ
ejpam-1980	92	6	the	the	DET
ejpam-1980	92	7	condition	condition	NOUN
ejpam-1980	92	8	h	h	NOUN
ejpam-1980	92	9	is	be	AUX
ejpam-1980	92	10	unimodular	unimodular	ADJ
ejpam-1980	92	11	can	can	AUX
ejpam-1980	92	12	not	not	PART
ejpam-1980	92	13	be	be	AUX
ejpam-1980	92	14	removed	remove	VERB
ejpam-1980	92	15	;	;	PUNCT
ejpam-1980	92	16	example	example	NOUN
ejpam-1980	92	17	1	1	X
ejpam-1980	92	18	.	.	PUNCT
ejpam-1980	93	1	let	let	VERB
ejpam-1980	93	2	h	h	NOUN
ejpam-1980	93	3	=	=	PUNCT
ejpam-1980	93	4	(	(	PUNCT
ejpam-1980	93	5	r	r	NOUN
ejpam-1980	93	6	\	\	NOUN
ejpam-1980	93	7	{	{	PUNCT
ejpam-1980	93	8	0})×τ	0})×τ	NOUN
ejpam-1980	93	9	r	r	NOUN
ejpam-1980	93	10	be	be	VERB
ejpam-1980	93	11	the	the	DET
ejpam-1980	93	12	affine	affine	NOUN
ejpam-1980	93	13	group	group	NOUN
ejpam-1980	93	14	.	.	PUNCT
ejpam-1980	94	1	as	as	SCONJ
ejpam-1980	94	2	we	we	PRON
ejpam-1980	94	3	have	have	AUX
ejpam-1980	94	4	seen	see	VERB
ejpam-1980	94	5	before	before	ADV
ejpam-1980	94	6	,	,	PUNCT
ejpam-1980	94	7	dµh(h	dµh(h	PROPN
ejpam-1980	94	8	,	,	PUNCT
ejpam-1980	94	9	x	x	NOUN
ejpam-1980	94	10	)	)	PUNCT
ejpam-1980	95	1	=	=	SYM
ejpam-1980	95	2	h−2dhd	h−2dhd	NOUN
ejpam-1980	95	3	x	x	X
ejpam-1980	95	4	is	be	AUX
ejpam-1980	95	5	the	the	DET
ejpam-1980	95	6	left	left	ADJ
ejpam-1980	95	7	haar	haar	NOUN
ejpam-1980	95	8	measure	measure	NOUN
ejpam-1980	95	9	of	of	ADP
ejpam-1980	95	10	h.	h.	PROPN
ejpam-1980	95	11	this	this	PRON
ejpam-1980	95	12	shows	show	VERB
ejpam-1980	95	13	that	that	SCONJ
ejpam-1980	95	14	every	every	DET
ejpam-1980	95	15	non	non	ADJ
ejpam-1980	95	16	-	-	ADJ
ejpam-1980	95	17	negative	negative	ADJ
ejpam-1980	95	18	normalized	normalize	VERB
ejpam-1980	95	19	function	function	NOUN
ejpam-1980	95	20	g	g	PROPN
ejpam-1980	95	21	∈	∈	PROPN
ejpam-1980	95	22	l1(r2	l1(r2	NOUN
ejpam-1980	95	23	)	)	PUNCT
ejpam-1980	95	24	such	such	ADJ
ejpam-1980	95	25	that	that	SCONJ
ejpam-1980	95	26	x2	x2	PROPN
ejpam-1980	95	27	1	1	NUM
ejpam-1980	95	28	g(x1	g(x1	NOUN
ejpam-1980	95	29	,	,	PUNCT
ejpam-1980	95	30	x2	x2	PROPN
ejpam-1980	95	31	)	)	PUNCT
ejpam-1980	95	32	is	be	AUX
ejpam-1980	95	33	integrable	integrable	ADJ
ejpam-1980	95	34	satisfies	satisfie	NOUN
ejpam-1980	95	35	in	in	ADP
ejpam-1980	95	36	(	(	PUNCT
ejpam-1980	95	37	4	4	NUM
ejpam-1980	95	38	)	)	PUNCT
ejpam-1980	95	39	.	.	PUNCT
ejpam-1980	96	1	hence	hence	ADV
ejpam-1980	96	2	,	,	PUNCT
ejpam-1980	96	3	h	h	NOUN
ejpam-1980	96	4	is	be	AUX
ejpam-1980	96	5	admissible	admissible	ADJ
ejpam-1980	96	6	but	but	CCONJ
ejpam-1980	96	7	∆h	∆h	PROPN
ejpam-1980	96	8	t	t	PROPN
ejpam-1980	96	9	≡	≡	PROPN
ejpam-1980	96	10	|det|	|det|	PROPN
ejpam-1980	97	1	and	and	CCONJ
ejpam-1980	97	2	so	so	ADV
ejpam-1980	97	3	h	h	PROPN
ejpam-1980	97	4	t	t	PROPN
ejpam-1980	97	5	is	be	AUX
ejpam-1980	97	6	not	not	PART
ejpam-1980	97	7	admissible	admissible	ADJ
ejpam-1980	97	8	by	by	ADP
ejpam-1980	97	9	theorem	theorem	NOUN
ejpam-1980	97	10	1	1	NUM
ejpam-1980	98	1	.	.	NOUN
ejpam-1980	98	2	3	3	X
ejpam-1980	98	3	.	.	X
ejpam-1980	98	4	admissibility	admissibility	NOUN
ejpam-1980	98	5	of	of	ADP
ejpam-1980	98	6	arbitrary	arbitrary	ADJ
ejpam-1980	98	7	topological	topological	ADJ
ejpam-1980	98	8	groups	group	NOUN
ejpam-1980	98	9	a	a	DET
ejpam-1980	98	10	more	more	ADV
ejpam-1980	98	11	general	general	ADJ
ejpam-1980	98	12	family	family	NOUN
ejpam-1980	98	13	of	of	ADP
ejpam-1980	98	14	admissible	admissible	ADJ
ejpam-1980	98	15	groups	group	NOUN
ejpam-1980	98	16	was	be	AUX
ejpam-1980	98	17	studied	study	VERB
ejpam-1980	98	18	by	by	ADP
ejpam-1980	98	19	grochenig	grochenig	PROPN
ejpam-1980	98	20	,	,	PUNCT
ejpam-1980	98	21	kaniuth	kaniuth	PROPN
ejpam-1980	98	22	and	and	CCONJ
ejpam-1980	98	23	taylor	taylor	PROPN
ejpam-1980	99	1	[	[	X
ejpam-1980	99	2	9	9	NUM
ejpam-1980	99	3	]	]	PUNCT
ejpam-1980	99	4	,	,	PUNCT
ejpam-1980	99	5	who	who	PRON
ejpam-1980	99	6	focused	focus	VERB
ejpam-1980	99	7	on	on	ADP
ejpam-1980	99	8	certain	certain	ADJ
ejpam-1980	99	9	one	one	NUM
ejpam-1980	99	10	-	-	PUNCT
ejpam-1980	99	11	parameter	parameter	NOUN
ejpam-1980	99	12	groups	group	NOUN
ejpam-1980	99	13	;	;	PUNCT
ejpam-1980	99	14	in	in	ADP
ejpam-1980	99	15	particular	particular	ADJ
ejpam-1980	99	16	all	all	PRON
ejpam-1980	99	17	of	of	ADP
ejpam-1980	99	18	the	the	DET
ejpam-1980	99	19	aforementioned	aforementioned	ADJ
ejpam-1980	99	20	examples	example	NOUN
ejpam-1980	99	21	fall	fall	VERB
ejpam-1980	99	22	under	under	ADP
ejpam-1980	99	23	the	the	DET
ejpam-1980	99	24	class	class	NOUN
ejpam-1980	99	25	described	describe	VERB
ejpam-1980	99	26	in	in	ADP
ejpam-1980	99	27	[	[	X
ejpam-1980	99	28	8	8	NUM
ejpam-1980	99	29	,	,	PUNCT
ejpam-1980	99	30	11	11	NUM
ejpam-1980	99	31	]	]	PUNCT
ejpam-1980	99	32	.	.	PUNCT
ejpam-1980	100	1	consider	consider	VERB
ejpam-1980	100	2	the	the	DET
ejpam-1980	100	3	semidirect	semidirect	NOUN
ejpam-1980	100	4	product	product	NOUN
ejpam-1980	100	5	group	group	NOUN
ejpam-1980	100	6	g×τr	g×τr	NOUN
ejpam-1980	100	7	n	n	ADV
ejpam-1980	100	8	where	where	SCONJ
ejpam-1980	100	9	g	g	PROPN
ejpam-1980	100	10	is	be	AUX
ejpam-1980	100	11	an	an	DET
ejpam-1980	100	12	arbitrary	arbitrary	ADJ
ejpam-1980	100	13	topological	topological	ADJ
ejpam-1980	100	14	group	group	NOUN
ejpam-1980	100	15	and	and	CCONJ
ejpam-1980	100	16	τ	τ	PROPN
ejpam-1980	100	17	:	:	PUNCT
ejpam-1980	100	18	g→	g→	NOUN
ejpam-1980	100	19	gl(n	gl(n	PUNCT
ejpam-1980	100	20	,	,	PUNCT
ejpam-1980	100	21	r);a	r);a	PROPN
ejpam-1980	100	22	7−→	7−→	PROPN
ejpam-1980	100	23	τa	τa	VERB
ejpam-1980	100	24	is	be	AUX
ejpam-1980	100	25	a	a	DET
ejpam-1980	100	26	homomorphism	homomorphism	NOUN
ejpam-1980	100	27	such	such	ADJ
ejpam-1980	100	28	that	that	SCONJ
ejpam-1980	100	29	(	(	PUNCT
ejpam-1980	100	30	a	a	PRON
ejpam-1980	100	31	,	,	PUNCT
ejpam-1980	100	32	x	x	NOUN
ejpam-1980	100	33	)	)	PUNCT
ejpam-1980	100	34	7−→	7−→	NOUN
ejpam-1980	100	35	τa(x	τa(x	PUNCT
ejpam-1980	100	36	)	)	PUNCT
ejpam-1980	100	37	is	be	AUX
ejpam-1980	100	38	continuous	continuous	ADJ
ejpam-1980	100	39	.	.	PUNCT
ejpam-1980	101	1	the	the	DET
ejpam-1980	101	2	topological	topological	ADJ
ejpam-1980	101	3	group	group	NOUN
ejpam-1980	101	4	g	g	PROPN
ejpam-1980	101	5	is	be	AUX
ejpam-1980	101	6	called	call	VERB
ejpam-1980	101	7	admissible	admissible	ADJ
ejpam-1980	101	8	if	if	SCONJ
ejpam-1980	101	9	the	the	DET
ejpam-1980	101	10	quasi	quasi	ADJ
ejpam-1980	101	11	-	-	ADJ
ejpam-1980	101	12	regular	regular	ADJ
ejpam-1980	101	13	representation	representation	NOUN
ejpam-1980	101	14	on	on	ADP
ejpam-1980	101	15	the	the	DET
ejpam-1980	101	16	semidirect	semidirect	PROPN
ejpam-1980	101	17	group	group	NOUN
ejpam-1980	101	18	g	g	PROPN
ejpam-1980	101	19	×τ	×τ	NOUN
ejpam-1980	101	20	r	r	NOUN
ejpam-1980	101	21	n	n	PRON
ejpam-1980	101	22	has	have	VERB
ejpam-1980	101	23	an	an	DET
ejpam-1980	101	24	admissible	admissible	ADJ
ejpam-1980	101	25	vector	vector	NOUN
ejpam-1980	101	26	.	.	PUNCT
ejpam-1980	102	1	a	a	DET
ejpam-1980	102	2	further	further	ADJ
ejpam-1980	102	3	extension	extension	NOUN
ejpam-1980	102	4	,	,	PUNCT
ejpam-1980	102	5	replacingrn	replacingrn	PROPN
ejpam-1980	102	6	by	by	ADP
ejpam-1980	102	7	a	a	DET
ejpam-1980	102	8	general	general	ADJ
ejpam-1980	102	9	locally	locally	ADV
ejpam-1980	102	10	compact	compact	ADJ
ejpam-1980	102	11	abelian	abelian	NOUN
ejpam-1980	102	12	group	group	PROPN
ejpam-1980	102	13	k	k	PROPN
ejpam-1980	102	14	.	.	PUNCT
ejpam-1980	103	1	in	in	ADP
ejpam-1980	103	2	this	this	DET
ejpam-1980	103	3	case	case	NOUN
ejpam-1980	103	4	,	,	PUNCT
ejpam-1980	103	5	we	we	PRON
ejpam-1980	103	6	can	can	AUX
ejpam-1980	103	7	also	also	ADV
ejpam-1980	103	8	modify	modify	VERB
ejpam-1980	103	9	(	(	PUNCT
ejpam-1980	103	10	4	4	NUM
ejpam-1980	103	11	)	)	PUNCT
ejpam-1980	103	12	to	to	PART
ejpam-1980	103	13	describe	describe	VERB
ejpam-1980	103	14	admissible	admissible	ADJ
ejpam-1980	103	15	groups	group	NOUN
ejpam-1980	103	16	.	.	PUNCT
ejpam-1980	104	1	a	a	DET
ejpam-1980	104	2	characterization	characterization	NOUN
ejpam-1980	104	3	of	of	ADP
ejpam-1980	104	4	such	such	ADJ
ejpam-1980	104	5	admissible	admissible	ADJ
ejpam-1980	104	6	groups	group	NOUN
ejpam-1980	104	7	which	which	PRON
ejpam-1980	104	8	extends	extend	VERB
ejpam-1980	104	9	(	(	PUNCT
ejpam-1980	104	10	1	1	X
ejpam-1980	104	11	)	)	PUNCT
ejpam-1980	104	12	can	can	AUX
ejpam-1980	104	13	be	be	AUX
ejpam-1980	104	14	found	find	VERB
ejpam-1980	104	15	in	in	ADP
ejpam-1980	104	16	[	[	X
ejpam-1980	104	17	2	2	NUM
ejpam-1980	104	18	,	,	PUNCT
ejpam-1980	104	19	8	8	NUM
ejpam-1980	104	20	]	]	PUNCT
ejpam-1980	104	21	.	.	PUNCT
ejpam-1980	105	1	theorem	theorem	NOUN
ejpam-1980	105	2	3	3	NUM
ejpam-1980	105	3	.	.	PUNCT
ejpam-1980	106	1	[	[	X
ejpam-1980	106	2	2	2	NUM
ejpam-1980	106	3	]	]	PUNCT
ejpam-1980	106	4	equality	equality	NOUN
ejpam-1980	106	5	(	(	PUNCT
ejpam-1980	106	6	3	3	NUM
ejpam-1980	106	7	)	)	PUNCT
ejpam-1980	106	8	is	be	AUX
ejpam-1980	106	9	valid	valid	ADJ
ejpam-1980	106	10	for	for	ADP
ejpam-1980	106	11	ψ	ψ	X
ejpam-1980	106	12	∈	∈	PROPN
ejpam-1980	106	13	l2(k	l2(k	PROPN
ejpam-1980	106	14	)	)	PUNCT
ejpam-1980	106	15	if	if	SCONJ
ejpam-1980	106	16	∫	∫	PROPN
ejpam-1980	106	17	h	h	NOUN
ejpam-1980	106	18	|òψ(ω	|òψ(ω	PROPN
ejpam-1980	106	19	◦	◦	VERB
ejpam-1980	106	20	τh)|	τh)|	PROPN
ejpam-1980	106	21	2dµh(h	2dµh(h	NUM
ejpam-1980	106	22	)	)	PUNCT
ejpam-1980	106	23	=	=	SYM
ejpam-1980	106	24	1	1	NUM
ejpam-1980	106	25	for	for	ADP
ejpam-1980	106	26	a.e	a.e	PROPN
ejpam-1980	106	27	.	.	PROPN
ejpam-1980	106	28	ω	ω	PROPN
ejpam-1980	106	29	∈	∈	NOUN
ejpam-1980	106	30	bk	bk	PRON
ejpam-1980	106	31	.	.	PUNCT
ejpam-1980	107	1	(	(	PUNCT
ejpam-1980	107	2	5	5	NUM
ejpam-1980	107	3	)	)	PUNCT
ejpam-1980	107	4	moreover	moreover	ADV
ejpam-1980	107	5	,	,	PUNCT
ejpam-1980	107	6	the	the	DET
ejpam-1980	107	7	converse	converse	NOUN
ejpam-1980	107	8	is	be	AUX
ejpam-1980	107	9	also	also	ADV
ejpam-1980	107	10	true	true	ADJ
ejpam-1980	107	11	by	by	ADP
ejpam-1980	107	12	more	more	ADJ
ejpam-1980	107	13	assumptions	assumption	NOUN
ejpam-1980	107	14	.	.	PUNCT
ejpam-1980	108	1	let	let	VERB
ejpam-1980	108	2	h	h	PRON
ejpam-1980	108	3	be	be	AUX
ejpam-1980	108	4	a	a	DET
ejpam-1980	108	5	closed	closed	ADJ
ejpam-1980	108	6	subgroup	subgroup	NOUN
ejpam-1980	108	7	of	of	ADP
ejpam-1980	108	8	g.	g.	PROPN
ejpam-1980	108	9	we	we	PRON
ejpam-1980	108	10	consider	consider	VERB
ejpam-1980	108	11	the	the	DET
ejpam-1980	108	12	left	left	ADJ
ejpam-1980	108	13	multiplication	multiplication	NOUN
ejpam-1980	108	14	as	as	ADP
ejpam-1980	108	15	the	the	DET
ejpam-1980	108	16	usual	usual	ADJ
ejpam-1980	108	17	action	action	NOUN
ejpam-1980	108	18	of	of	ADP
ejpam-1980	108	19	g	g	NOUN
ejpam-1980	108	20	on	on	ADP
ejpam-1980	108	21	quotient	quotient	NOUN
ejpam-1980	108	22	space	space	NOUN
ejpam-1980	108	23	g	g	PROPN
ejpam-1980	108	24	/	/	SYM
ejpam-1980	108	25	h.	h.	PROPN
ejpam-1980	108	26	a	a	DET
ejpam-1980	108	27	radon	radon	PROPN
ejpam-1980	108	28	measure	measure	NOUN
ejpam-1980	108	29	µ	µ	X
ejpam-1980	108	30	on	on	ADP
ejpam-1980	108	31	g	g	PROPN
ejpam-1980	108	32	/	/	SYM
ejpam-1980	108	33	h	h	NOUN
ejpam-1980	108	34	is	be	AUX
ejpam-1980	108	35	called	call	VERB
ejpam-1980	108	36	invariant	invariant	ADJ
ejpam-1980	108	37	if	if	SCONJ
ejpam-1980	108	38	µ(ab	µ(ab	NOUN
ejpam-1980	108	39	)	)	PUNCT
ejpam-1980	108	40	=	=	SYM
ejpam-1980	108	41	µ(b	µ(b	PROPN
ejpam-1980	108	42	)	)	PUNCT
ejpam-1980	108	43	for	for	ADP
ejpam-1980	108	44	every	every	DET
ejpam-1980	108	45	g	g	PROPN
ejpam-1980	108	46	∈	∈	PROPN
ejpam-1980	108	47	g	g	PROPN
ejpam-1980	108	48	and	and	CCONJ
ejpam-1980	108	49	borel	borel	PROPN
ejpam-1980	108	50	set	set	PROPN
ejpam-1980	108	51	b	b	PROPN
ejpam-1980	108	52	of	of	ADP
ejpam-1980	108	53	g	g	PROPN
ejpam-1980	108	54	/	/	SYM
ejpam-1980	108	55	h.	h.	PROPN
ejpam-1980	108	56	there	there	PRON
ejpam-1980	108	57	is	be	VERB
ejpam-1980	108	58	an	an	DET
ejpam-1980	108	59	invariant	invariant	ADJ
ejpam-1980	108	60	measure	measure	NOUN
ejpam-1980	108	61	on	on	ADP
ejpam-1980	108	62	g	g	PROPN
ejpam-1980	108	63	/	/	SYM
ejpam-1980	108	64	h	h	NOUN
ejpam-1980	108	65	if	if	SCONJ
ejpam-1980	109	1	and	and	CCONJ
ejpam-1980	109	2	only	only	ADV
ejpam-1980	109	3	if	if	SCONJ
ejpam-1980	109	4	∆g	∆g	PROPN
ejpam-1980	109	5	|h=	|h=	ADJ
ejpam-1980	109	6	∆h	∆h	PROPN
ejpam-1980	109	7	,	,	PUNCT
ejpam-1980	109	8	for	for	ADP
ejpam-1980	109	9	more	more	ADJ
ejpam-1980	109	10	details	detail	NOUN
ejpam-1980	109	11	see	see	VERB
ejpam-1980	109	12	2.49	2.49	NUM
ejpam-1980	109	13	of	of	ADP
ejpam-1980	109	14	[	[	X
ejpam-1980	109	15	5	5	NUM
ejpam-1980	109	16	]	]	PUNCT
ejpam-1980	109	17	.	.	PUNCT
ejpam-1980	110	1	the	the	DET
ejpam-1980	110	2	following	follow	VERB
ejpam-1980	110	3	theorem	theorem	NOUN
ejpam-1980	110	4	shows	show	VERB
ejpam-1980	110	5	that	that	SCONJ
ejpam-1980	110	6	the	the	DET
ejpam-1980	110	7	admissibility	admissibility	NOUN
ejpam-1980	110	8	can	can	AUX
ejpam-1980	110	9	be	be	AUX
ejpam-1980	110	10	extended	extend	VERB
ejpam-1980	110	11	from	from	ADP
ejpam-1980	110	12	a	a	DET
ejpam-1980	110	13	subgroup	subgroup	NOUN
ejpam-1980	110	14	to	to	PART
ejpam-1980	110	15	own	own	ADJ
ejpam-1980	110	16	group	group	NOUN
ejpam-1980	110	17	.	.	PUNCT
ejpam-1980	111	1	theorem	theorem	ADJ
ejpam-1980	111	2	4	4	NUM
ejpam-1980	111	3	.	.	PUNCT
ejpam-1980	112	1	let	let	VERB
ejpam-1980	112	2	h	h	PRON
ejpam-1980	112	3	be	be	AUX
ejpam-1980	112	4	a	a	DET
ejpam-1980	112	5	closed	closed	ADJ
ejpam-1980	112	6	subgroup	subgroup	NOUN
ejpam-1980	112	7	of	of	ADP
ejpam-1980	112	8	a	a	DET
ejpam-1980	112	9	σ−compact	σ−compact	PROPN
ejpam-1980	112	10	group	group	NOUN
ejpam-1980	112	11	g	g	NOUN
ejpam-1980	112	12	such	such	ADJ
ejpam-1980	112	13	that	that	SCONJ
ejpam-1980	112	14	g	g	NOUN
ejpam-1980	112	15	/	/	SYM
ejpam-1980	112	16	h	h	NOUN
ejpam-1980	112	17	is	be	AUX
ejpam-1980	112	18	compact	compact	ADJ
ejpam-1980	112	19	.	.	PUNCT
ejpam-1980	113	1	if	if	SCONJ
ejpam-1980	113	2	h	h	NOUN
ejpam-1980	113	3	is	be	AUX
ejpam-1980	113	4	admissible	admissible	ADJ
ejpam-1980	113	5	and	and	CCONJ
ejpam-1980	113	6	g	g	PROPN
ejpam-1980	113	7	/	/	SYM
ejpam-1980	113	8	h	h	PROPN
ejpam-1980	113	9	has	have	VERB
ejpam-1980	113	10	an	an	DET
ejpam-1980	113	11	invariant	invariant	ADJ
ejpam-1980	113	12	measure	measure	NOUN
ejpam-1980	113	13	,	,	PUNCT
ejpam-1980	113	14	then	then	ADV
ejpam-1980	113	15	is	be	AUX
ejpam-1980	113	16	g	g	NOUN
ejpam-1980	113	17	also	also	ADV
ejpam-1980	113	18	admissible	admissible	ADJ
ejpam-1980	113	19	.	.	PUNCT
ejpam-1980	114	1	proof	proof	NOUN
ejpam-1980	114	2	.	.	PUNCT
ejpam-1980	115	1	suppose	suppose	VERB
ejpam-1980	115	2	µ	µ	PRON
ejpam-1980	115	3	is	be	AUX
ejpam-1980	115	4	an	an	DET
ejpam-1980	115	5	invariant	invariant	ADJ
ejpam-1980	115	6	measure	measure	NOUN
ejpam-1980	115	7	on	on	ADP
ejpam-1980	115	8	g	g	PROPN
ejpam-1980	115	9	/	/	SYM
ejpam-1980	115	10	h	h	NOUN
ejpam-1980	115	11	,	,	PUNCT
ejpam-1980	115	12	then	then	ADV
ejpam-1980	115	13	we	we	PRON
ejpam-1980	115	14	have	have	VERB
ejpam-1980	115	15	∫	∫	PROPN
ejpam-1980	115	16	g	g	PROPN
ejpam-1980	115	17	f	f	PROPN
ejpam-1980	115	18	(	(	PUNCT
ejpam-1980	115	19	a)dµg(a	a)dµg(a	PROPN
ejpam-1980	115	20	)	)	PUNCT
ejpam-1980	115	21	=	=	SYM
ejpam-1980	116	1	∫	∫	PROPN
ejpam-1980	116	2	g	g	PROPN
ejpam-1980	116	3	/	/	SYM
ejpam-1980	116	4	h	h	NOUN
ejpam-1980	116	5	∫	∫	PROPN
ejpam-1980	117	1	h	h	PROPN
ejpam-1980	117	2	f	f	PROPN
ejpam-1980	117	3	(	(	PUNCT
ejpam-1980	117	4	ah)dµh(h)dµ(ah	ah)dµh(h)dµ(ah	PROPN
ejpam-1980	117	5	)	)	PUNCT
ejpam-1980	117	6	,	,	PUNCT
ejpam-1980	117	7	(	(	PUNCT
ejpam-1980	117	8	f	f	PROPN
ejpam-1980	117	9	∈	∈	PROPN
ejpam-1980	117	10	l1(g	l1(g	PROPN
ejpam-1980	117	11	)	)	PUNCT
ejpam-1980	117	12	)	)	PUNCT
ejpam-1980	117	13	.	.	PUNCT
ejpam-1980	118	1	(	(	PUNCT
ejpam-1980	118	2	6	6	NUM
ejpam-1980	118	3	)	)	PUNCT
ejpam-1980	118	4	a.	a.	NOUN
ejpam-1980	118	5	arefijamaal	arefijamaal	NOUN
ejpam-1980	118	6	,	,	PUNCT
ejpam-1980	118	7	m.	m.	NOUN
ejpam-1980	118	8	karizaki	karizaki	PROPN
ejpam-1980	118	9	/	/	SYM
ejpam-1980	118	10	eur	eur	PROPN
ejpam-1980	118	11	.	.	PUNCT
ejpam-1980	119	1	j.	j.	PROPN
ejpam-1980	119	2	pure	pure	PROPN
ejpam-1980	119	3	appl	appl	PROPN
ejpam-1980	119	4	.	.	PROPN
ejpam-1980	119	5	math	math	PROPN
ejpam-1980	119	6	,	,	PUNCT
ejpam-1980	119	7	8	8	NUM
ejpam-1980	119	8	(	(	PUNCT
ejpam-1980	119	9	2015	2015	NUM
ejpam-1980	119	10	)	)	PUNCT
ejpam-1980	119	11	,	,	PUNCT
ejpam-1980	119	12	368	368	NUM
ejpam-1980	119	13	-	-	SYM
ejpam-1980	119	14	374	374	NUM
ejpam-1980	119	15	373	373	NUM
ejpam-1980	119	16	this	this	DET
ejpam-1980	119	17	identity	identity	NOUN
ejpam-1980	119	18	is	be	AUX
ejpam-1980	119	19	known	know	VERB
ejpam-1980	119	20	as	as	ADP
ejpam-1980	119	21	weil	weil	PROPN
ejpam-1980	119	22	’s	’s	PART
ejpam-1980	119	23	formula	formula	NOUN
ejpam-1980	119	24	and	and	CCONJ
ejpam-1980	119	25	holds	hold	VERB
ejpam-1980	119	26	also	also	ADV
ejpam-1980	119	27	for	for	ADP
ejpam-1980	119	28	any	any	DET
ejpam-1980	119	29	f	f	PROPN
ejpam-1980	119	30	≥	≥	NOUN
ejpam-1980	119	31	0	0	NUM
ejpam-1980	119	32	that	that	PRON
ejpam-1980	119	33	vanishes	vanish	VERB
ejpam-1980	119	34	outside	outside	ADP
ejpam-1980	119	35	a	a	DET
ejpam-1980	119	36	finite	finite	NOUN
ejpam-1980	119	37	set	set	NOUN
ejpam-1980	119	38	[	[	X
ejpam-1980	119	39	5	5	NUM
ejpam-1980	119	40	]	]	PUNCT
ejpam-1980	119	41	.	.	PUNCT
ejpam-1980	120	1	now	now	ADV
ejpam-1980	120	2	let	let	VERB
ejpam-1980	120	3	h	h	NOUN
ejpam-1980	120	4	be	be	AUX
ejpam-1980	120	5	admissible	admissible	ADJ
ejpam-1980	120	6	and	and	CCONJ
ejpam-1980	120	7	g	g	PROPN
ejpam-1980	120	8	∈	∈	PROPN
ejpam-1980	120	9	l1(r	l1(r	PROPN
ejpam-1980	120	10	)	)	PUNCT
ejpam-1980	120	11	a	a	DET
ejpam-1980	120	12	non	non	ADJ
ejpam-1980	120	13	-	-	ADJ
ejpam-1980	120	14	negative	negative	ADJ
ejpam-1980	120	15	measurable	measurable	ADJ
ejpam-1980	120	16	function	function	NOUN
ejpam-1980	120	17	such	such	ADJ
ejpam-1980	120	18	that	that	DET
ejpam-1980	120	19	∫	∫	PROPN
ejpam-1980	120	20	h	h	PROPN
ejpam-1980	120	21	g((τh	g((τh	PROPN
ejpam-1980	120	22	)	)	PUNCT
ejpam-1980	120	23	t	t	PROPN
ejpam-1980	120	24	x)dµh(h	x)dµh(h	NUM
ejpam-1980	120	25	)	)	PUNCT
ejpam-1980	120	26	=	=	SYM
ejpam-1980	120	27	1	1	NUM
ejpam-1980	120	28	,	,	PUNCT
ejpam-1980	120	29	for	for	ADP
ejpam-1980	120	30	a.e	a.e	PROPN
ejpam-1980	120	31	.	.	PUNCT
ejpam-1980	120	32	x	x	PROPN
ejpam-1980	120	33	∈	∈	PROPN
ejpam-1980	120	34	rn	rn	PROPN
ejpam-1980	120	35	.	.	PROPN
ejpam-1980	121	1	since	since	SCONJ
ejpam-1980	121	2	a	a	DET
ejpam-1980	121	3	7−→	7−→	PROPN
ejpam-1980	121	4	g((τa	g((τa	NUM
ejpam-1980	121	5	)	)	PUNCT
ejpam-1980	121	6	t	t	PROPN
ejpam-1980	121	7	x	x	X
ejpam-1980	121	8	)	)	PUNCT
ejpam-1980	121	9	on	on	ADP
ejpam-1980	121	10	g	g	PROPN
ejpam-1980	121	11	is	be	AUX
ejpam-1980	121	12	positive	positive	ADJ
ejpam-1980	121	13	by	by	ADP
ejpam-1980	121	14	using	use	VERB
ejpam-1980	121	15	(	(	PUNCT
ejpam-1980	121	16	6	6	NUM
ejpam-1980	121	17	)	)	PUNCT
ejpam-1980	121	18	with	with	ADP
ejpam-1980	121	19	the	the	DET
ejpam-1980	121	20	fact	fact	NOUN
ejpam-1980	121	21	that	that	SCONJ
ejpam-1980	121	22	µ	µ	NOUN
ejpam-1980	121	23	is	be	AUX
ejpam-1980	121	24	finite	finite	NOUN
ejpam-1980	121	25	we	we	PRON
ejpam-1980	121	26	obtain	obtain	VERB
ejpam-1980	121	27	∫	∫	PROPN
ejpam-1980	121	28	g	g	PROPN
ejpam-1980	121	29	g((τa	g((τa	PROPN
ejpam-1980	121	30	)	)	PUNCT
ejpam-1980	121	31	t	t	PROPN
ejpam-1980	121	32	x)dµg(a	x)dµg(a	NUM
ejpam-1980	121	33	)	)	PUNCT
ejpam-1980	122	1	=	=	PUNCT
ejpam-1980	122	2	∫	∫	PROPN
ejpam-1980	122	3	g	g	PROPN
ejpam-1980	122	4	/	/	SYM
ejpam-1980	122	5	h	h	NOUN
ejpam-1980	123	1	∫	∫	PROPN
ejpam-1980	123	2	h	h	PROPN
ejpam-1980	123	3	g((τah)t	g((τah)t	PROPN
ejpam-1980	123	4	x)dµh(h)dµ(ah	x)dµh(h)dµ(ah	PROPN
ejpam-1980	123	5	)	)	PUNCT
ejpam-1980	123	6	=	=	PUNCT
ejpam-1980	124	1	∫	∫	PROPN
ejpam-1980	124	2	g	g	PROPN
ejpam-1980	124	3	/	/	SYM
ejpam-1980	124	4	h	h	NOUN
ejpam-1980	124	5	∫	∫	PROPN
ejpam-1980	124	6	h	h	PROPN
ejpam-1980	124	7	g((τh	g((τh	PROPN
ejpam-1980	124	8	)	)	PUNCT
ejpam-1980	124	9	t(τa	t(τa	NOUN
ejpam-1980	124	10	)	)	PUNCT
ejpam-1980	124	11	t	t	PROPN
ejpam-1980	124	12	x)dµh(h)dµ(ah	x)dµh(h)dµ(ah	PROPN
ejpam-1980	124	13	)	)	PUNCT
ejpam-1980	125	1	=	=	PUNCT
ejpam-1980	125	2	∫	∫	PROPN
ejpam-1980	125	3	g	g	PROPN
ejpam-1980	125	4	/	/	SYM
ejpam-1980	125	5	h	h	NOUN
ejpam-1980	125	6	dµ(ah)<∞	dµ(ah)<∞	NOUN
ejpam-1980	125	7	,	,	PUNCT
ejpam-1980	125	8	for	for	ADP
ejpam-1980	125	9	a.e	a.e	PROPN
ejpam-1980	125	10	.	.	PUNCT
ejpam-1980	125	11	x	x	PROPN
ejpam-1980	125	12	∈	∈	PROPN
ejpam-1980	125	13	r.	r.	PROPN
ejpam-1980	125	14	therefore	therefore	ADV
ejpam-1980	125	15	,	,	PUNCT
ejpam-1980	125	16	g	g	PROPN
ejpam-1980	125	17	is	be	AUX
ejpam-1980	125	18	admissible	admissible	ADJ
ejpam-1980	125	19	.	.	PUNCT
ejpam-1980	126	1	theorem	theorem	NOUN
ejpam-1980	126	2	5	5	NUM
ejpam-1980	126	3	.	.	PUNCT
ejpam-1980	127	1	if	if	SCONJ
ejpam-1980	127	2	g1	g1	PROPN
ejpam-1980	127	3	and	and	CCONJ
ejpam-1980	127	4	g2	g2	PROPN
ejpam-1980	127	5	are	be	AUX
ejpam-1980	127	6	admissible	admissible	ADJ
ejpam-1980	127	7	groups	group	NOUN
ejpam-1980	127	8	,	,	PUNCT
ejpam-1980	127	9	then	then	ADV
ejpam-1980	127	10	so	so	ADV
ejpam-1980	127	11	is	be	AUX
ejpam-1980	127	12	g1	g1	PROPN
ejpam-1980	127	13	×	×	PROPN
ejpam-1980	127	14	g2	g2	PROPN
ejpam-1980	127	15	.	.	PUNCT
ejpam-1980	128	1	proof	proof	NOUN
ejpam-1980	128	2	.	.	PUNCT
ejpam-1980	129	1	since	since	SCONJ
ejpam-1980	129	2	gi	gi	PROPN
ejpam-1980	129	3	is	be	AUX
ejpam-1980	129	4	admissible	admissible	ADJ
ejpam-1980	129	5	there	there	PRON
ejpam-1980	129	6	exists	exist	VERB
ejpam-1980	129	7	a	a	DET
ejpam-1980	129	8	measurable	measurable	ADJ
ejpam-1980	129	9	function	function	NOUN
ejpam-1980	129	10	gi	gi	X
ejpam-1980	129	11	∈	∈	PROPN
ejpam-1980	129	12	l1(rni	l1(rni	NOUN
ejpam-1980	129	13	)	)	PUNCT
ejpam-1980	129	14	such	such	ADJ
ejpam-1980	129	15	that	that	SCONJ
ejpam-1980	129	16	gi	gi	VERB
ejpam-1980	129	17	≥	≥	NOUN
ejpam-1980	129	18	0	0	NUM
ejpam-1980	130	1	and	and	CCONJ
ejpam-1980	130	2	∫	∫	PROPN
ejpam-1980	130	3	g	g	PROPN
ejpam-1980	130	4	gi((τ	gi((τ	VERB
ejpam-1980	130	5	i	i	PRON
ejpam-1980	130	6	a	a	NOUN
ejpam-1980	130	7	)	)	PUNCT
ejpam-1980	130	8	t	t	PROPN
ejpam-1980	130	9	x)dµgi	x)dµgi	PROPN
ejpam-1980	131	1	(	(	PUNCT
ejpam-1980	131	2	a	a	X
ejpam-1980	131	3	)	)	PUNCT
ejpam-1980	131	4	=	=	SYM
ejpam-1980	131	5	1	1	NUM
ejpam-1980	131	6	,	,	PUNCT
ejpam-1980	131	7	for	for	ADP
ejpam-1980	131	8	a.e	a.e	PROPN
ejpam-1980	131	9	.	.	PUNCT
ejpam-1980	131	10	x	x	SYM
ejpam-1980	131	11	∈	∈	PROPN
ejpam-1980	131	12	rni	rni	NOUN
ejpam-1980	131	13	where	where	SCONJ
ejpam-1980	131	14	ni	ni	PROPN
ejpam-1980	131	15	∈	∈	PROPN
ejpam-1980	131	16	n	n	ADV
ejpam-1980	131	17	and	and	CCONJ
ejpam-1980	131	18	τi	τi	VERB
ejpam-1980	131	19	:	:	PUNCT
ejpam-1980	131	20	gi	gi	X
ejpam-1980	131	21	→	→	SYM
ejpam-1980	131	22	gl(ni	gl(ni	PROPN
ejpam-1980	131	23	,	,	PUNCT
ejpam-1980	131	24	r	r	X
ejpam-1980	131	25	)	)	PUNCT
ejpam-1980	131	26	is	be	AUX
ejpam-1980	131	27	a	a	DET
ejpam-1980	131	28	continuous	continuous	ADJ
ejpam-1980	131	29	homomorphism	homomorphism	NOUN
ejpam-1980	131	30	(	(	PUNCT
ejpam-1980	131	31	i	i	NOUN
ejpam-1980	131	32	=	=	NOUN
ejpam-1980	131	33	1,2	1,2	NUM
ejpam-1980	131	34	)	)	PUNCT
ejpam-1980	131	35	.	.	PUNCT
ejpam-1980	132	1	consider	consider	VERB
ejpam-1980	132	2	g	g	NOUN
ejpam-1980	132	3	=	=	PUNCT
ejpam-1980	132	4	g1	g1	PROPN
ejpam-1980	132	5	×	×	PROPN
ejpam-1980	132	6	g2	g2	PROPN
ejpam-1980	132	7	and	and	CCONJ
ejpam-1980	132	8	define	define	VERB
ejpam-1980	132	9	the	the	DET
ejpam-1980	132	10	continuous	continuous	ADJ
ejpam-1980	132	11	homomorphism	homomorphism	NOUN
ejpam-1980	132	12	τ	τ	X
ejpam-1980	132	13	:	:	PUNCT
ejpam-1980	132	14	g→	g→	NOUN
ejpam-1980	132	15	gl(n1	gl(n1	NOUN
ejpam-1980	132	16	+	+	CCONJ
ejpam-1980	132	17	n2,r	n2,r	PROPN
ejpam-1980	132	18	)	)	PUNCT
ejpam-1980	132	19	by	by	ADP
ejpam-1980	132	20	τ(a1,a2	τ(a1,a2	PRON
ejpam-1980	132	21	)	)	PUNCT
ejpam-1980	132	22	=	=	SYM
ejpam-1980	132	23	�	�	PROPN
ejpam-1980	132	24	τ1	τ1	ADP
ejpam-1980	132	25	a1	a1	NOUN
ejpam-1980	132	26	0	0	NUM
ejpam-1980	132	27	0	0	NUM
ejpam-1980	132	28	τ2	τ2	PROPN
ejpam-1980	132	29	a2	a2	PROPN
ejpam-1980	132	30	�	�	PROPN
ejpam-1980	132	31	.	.	PUNCT
ejpam-1980	133	1	(	(	PUNCT
ejpam-1980	133	2	7	7	NUM
ejpam-1980	133	3	)	)	PUNCT
ejpam-1980	133	4	then	then	ADV
ejpam-1980	133	5	the	the	DET
ejpam-1980	133	6	semidirect	semidirect	PROPN
ejpam-1980	133	7	product	product	NOUN
ejpam-1980	133	8	group	group	NOUN
ejpam-1980	133	9	(	(	PUNCT
ejpam-1980	133	10	g1	g1	PROPN
ejpam-1980	133	11	×	×	PROPN
ejpam-1980	133	12	g2	g2	PROPN
ejpam-1980	133	13	)	)	PUNCT
ejpam-1980	133	14	×τ	×τ	NOUN
ejpam-1980	133	15	r	r	PROPN
ejpam-1980	133	16	n1+n2	n1+n2	PROPN
ejpam-1980	133	17	is	be	AUX
ejpam-1980	133	18	well	well	ADV
ejpam-1980	133	19	defined	define	VERB
ejpam-1980	133	20	and	and	CCONJ
ejpam-1980	133	21	g	g	NOUN
ejpam-1980	133	22	:	:	PUNCT
ejpam-1980	133	23	rn1+n2	rn1+n2	PROPN
ejpam-1980	133	24	→	→	PUNCT
ejpam-1980	133	25	c	c	NOUN
ejpam-1980	133	26	given	give	VERB
ejpam-1980	133	27	by	by	ADP
ejpam-1980	133	28	g(x1	g(x1	NOUN
ejpam-1980	133	29	,	,	PUNCT
ejpam-1980	133	30	x2	x2	PROPN
ejpam-1980	133	31	)	)	PUNCT
ejpam-1980	133	32	=	=	SYM
ejpam-1980	133	33	g1(x1)g2(x2	g1(x1)g2(x2	NOUN
ejpam-1980	133	34	)	)	PUNCT
ejpam-1980	133	35	where	where	SCONJ
ejpam-1980	133	36	x1	x1	PROPN
ejpam-1980	133	37	∈	∈	PROPN
ejpam-1980	133	38	r	r	NOUN
ejpam-1980	133	39	n1	n1	NOUN
ejpam-1980	133	40	and	and	CCONJ
ejpam-1980	133	41	x2	x2	PROPN
ejpam-1980	133	42	∈	∈	PROPN
ejpam-1980	133	43	r	r	NOUN
ejpam-1980	133	44	n2	n2	NOUN
ejpam-1980	133	45	is	be	AUX
ejpam-1980	133	46	positive	positive	ADJ
ejpam-1980	133	47	and	and	CCONJ
ejpam-1980	133	48	belongs	belong	VERB
ejpam-1980	133	49	to	to	ADP
ejpam-1980	133	50	l1(rn1+n2	l1(rn1+n2	PROPN
ejpam-1980	133	51	)	)	PUNCT
ejpam-1980	133	52	.	.	PUNCT
ejpam-1980	134	1	moreover	moreover	ADV
ejpam-1980	134	2	∫	∫	PROPN
ejpam-1980	134	3	g	g	PROPN
ejpam-1980	134	4	g((τ(a1,a2	g((τ(a1,a2	PROPN
ejpam-1980	134	5	)	)	PUNCT
ejpam-1980	134	6	)	)	PUNCT
ejpam-1980	135	1	t(x1	t(x1	NOUN
ejpam-1980	135	2	,	,	PUNCT
ejpam-1980	135	3	x2))dµg(a1	x2))dµg(a1	PROPN
ejpam-1980	135	4	,	,	PUNCT
ejpam-1980	135	5	a2	a2	PROPN
ejpam-1980	135	6	)	)	PUNCT
ejpam-1980	135	7	=	=	SYM
ejpam-1980	135	8	1	1	NUM
ejpam-1980	135	9	,	,	PUNCT
ejpam-1980	135	10	for	for	ADP
ejpam-1980	135	11	a.e	a.e	PROPN
ejpam-1980	135	12	.	.	PUNCT
ejpam-1980	135	13	x	x	SYM
ejpam-1980	135	14	∈	∈	PROPN
ejpam-1980	135	15	rn1	rn1	VERB
ejpam-1980	135	16	,	,	PUNCT
ejpam-1980	135	17	x	x	PROPN
ejpam-1980	135	18	∈	∈	PROPN
ejpam-1980	135	19	rn2	rn2	PROPN
ejpam-1980	135	20	.	.	PUNCT
ejpam-1980	136	1	therefore	therefore	ADV
ejpam-1980	136	2	,	,	PUNCT
ejpam-1980	136	3	g	g	PROPN
ejpam-1980	136	4	is	be	AUX
ejpam-1980	136	5	admissible	admissible	ADJ
ejpam-1980	136	6	.	.	PUNCT
ejpam-1980	137	1	the	the	DET
ejpam-1980	137	2	above	above	ADJ
ejpam-1980	137	3	theorem	theorem	NOUN
ejpam-1980	137	4	help	help	VERB
ejpam-1980	137	5	us	we	PRON
ejpam-1980	137	6	to	to	PART
ejpam-1980	137	7	construct	construct	VERB
ejpam-1980	137	8	admissible	admissible	ADJ
ejpam-1980	137	9	groups	group	NOUN
ejpam-1980	137	10	from	from	ADP
ejpam-1980	137	11	a	a	DET
ejpam-1980	137	12	given	give	VERB
ejpam-1980	137	13	admissible	admissible	ADJ
ejpam-1980	137	14	group	group	NOUN
ejpam-1980	137	15	.	.	PUNCT
ejpam-1980	138	1	for	for	ADP
ejpam-1980	138	2	example	example	NOUN
ejpam-1980	138	3	if	if	SCONJ
ejpam-1980	138	4	g	g	PROPN
ejpam-1980	138	5	is	be	AUX
ejpam-1980	138	6	an	an	DET
ejpam-1980	138	7	admissible	admissible	ADJ
ejpam-1980	138	8	group	group	NOUN
ejpam-1980	138	9	,	,	PUNCT
ejpam-1980	138	10	then	then	ADV
ejpam-1980	138	11	g	g	PROPN
ejpam-1980	138	12	×	×	PROPN
ejpam-1980	138	13	gω	gω	PROPN
ejpam-1980	138	14	for	for	ADP
ejpam-1980	138	15	a.e	a.e	PROPN
ejpam-1980	138	16	.	.	PROPN
ejpam-1980	138	17	ω	ω	PROPN
ejpam-1980	138	18	∈	∈	PROPN
ejpam-1980	138	19	rn	rn	PROPN
ejpam-1980	138	20	is	be	AUX
ejpam-1980	138	21	also	also	ADV
ejpam-1980	138	22	admissible	admissible	ADJ
ejpam-1980	138	23	.	.	PUNCT
ejpam-1980	139	1	references	reference	NOUN
ejpam-1980	139	2	374	374	NUM
ejpam-1980	139	3	references	reference	NOUN
ejpam-1980	139	4	[	[	X
ejpam-1980	139	5	1	1	NUM
ejpam-1980	139	6	]	]	PUNCT
ejpam-1980	139	7	s.	s.	PROPN
ejpam-1980	139	8	t.	t.	PROPN
ejpam-1980	139	9	ali	ali	PROPN
ejpam-1980	139	10	,	,	PUNCT
ejpam-1980	139	11	j.	j.	PROPN
ejpam-1980	139	12	p.	p.	PROPN
ejpam-1980	139	13	antoine	antoine	PROPN
ejpam-1980	139	14	,	,	PUNCT
ejpam-1980	139	15	and	and	CCONJ
ejpam-1980	139	16	j.p	j.p	PROPN
ejpam-1980	139	17	.	.	PROPN
ejpam-1980	139	18	gazeau	gazeau	PROPN
ejpam-1980	139	19	.	.	PUNCT
ejpam-1980	140	1	coherent	coherent	ADJ
ejpam-1980	140	2	states	state	NOUN
ejpam-1980	140	3	,	,	PUNCT
ejpam-1980	140	4	wavelets	wavelet	NOUN
ejpam-1980	140	5	and	and	CCONJ
ejpam-1980	140	6	their	their	PRON
ejpam-1980	140	7	generalizations	generalization	NOUN
ejpam-1980	140	8	,	,	PUNCT
ejpam-1980	140	9	springer	springer	NOUN
ejpam-1980	140	10	-	-	PUNCT
ejpam-1980	140	11	verlag	verlag	PROPN
ejpam-1980	140	12	,	,	PUNCT
ejpam-1980	140	13	new	new	PROPN
ejpam-1980	140	14	york	york	PROPN
ejpam-1980	140	15	,	,	PUNCT
ejpam-1980	140	16	2000	2000	NUM
ejpam-1980	140	17	.	.	PUNCT
ejpam-1980	141	1	[	[	X
ejpam-1980	141	2	2	2	NUM
ejpam-1980	141	3	]	]	PUNCT
ejpam-1980	141	4	a.	a.	NOUN
ejpam-1980	141	5	arefijamaal	arefijamaal	NOUN
ejpam-1980	141	6	and	and	CCONJ
ejpam-1980	141	7	r.	r.	PROPN
ejpam-1980	141	8	a.	a.	PROPN
ejpam-1980	141	9	kamyabi	kamyabi	PROPN
ejpam-1980	141	10	-	-	PUNCT
ejpam-1980	141	11	gol	gol	PROPN
ejpam-1980	141	12	.	.	PUNCT
ejpam-1980	142	1	on	on	ADP
ejpam-1980	142	2	the	the	DET
ejpam-1980	142	3	square	square	ADJ
ejpam-1980	142	4	integrability	integrability	NOUN
ejpam-1980	142	5	of	of	ADP
ejpam-1980	142	6	quasi	quasi	NOUN
ejpam-1980	142	7	regular	regular	ADJ
ejpam-1980	142	8	representation	representation	NOUN
ejpam-1980	142	9	on	on	ADP
ejpam-1980	142	10	semidirect	semidirect	NOUN
ejpam-1980	142	11	product	product	NOUN
ejpam-1980	142	12	groups	group	NOUN
ejpam-1980	142	13	,	,	PUNCT
ejpam-1980	142	14	the	the	DET
ejpam-1980	142	15	journal	journal	NOUN
ejpam-1980	142	16	of	of	ADP
ejpam-1980	142	17	geometric	geometric	ADJ
ejpam-1980	142	18	analysis	analysis	NOUN
ejpam-1980	142	19	,	,	PUNCT
ejpam-1980	142	20	19(3	19(3	NUM
ejpam-1980	142	21	)	)	PUNCT
ejpam-1980	142	22	,	,	PUNCT
ejpam-1980	142	23	541552	541552	NUM
ejpam-1980	142	24	.	.	PUNCT
ejpam-1980	142	25	2009	2009	NUM
ejpam-1980	142	26	.	.	PUNCT
ejpam-1980	143	1	[	[	X
ejpam-1980	143	2	3	3	X
ejpam-1980	143	3	]	]	X
ejpam-1980	143	4	d.	d.	NOUN
ejpam-1980	143	5	bernier	bernier	PROPN
ejpam-1980	143	6	and	and	CCONJ
ejpam-1980	143	7	k.	k.	PROPN
ejpam-1980	143	8	e.	e.	PROPN
ejpam-1980	143	9	taylor	taylor	PROPN
ejpam-1980	143	10	.	.	PUNCT
ejpam-1980	144	1	wavelets	wavelet	NOUN
ejpam-1980	144	2	from	from	ADP
ejpam-1980	144	3	square	square	NOUN
ejpam-1980	144	4	-	-	PUNCT
ejpam-1980	144	5	integrable	integrable	ADJ
ejpam-1980	144	6	representations	representation	NOUN
ejpam-1980	144	7	,	,	PUNCT
ejpam-1980	144	8	siam	siam	ADJ
ejpam-1980	144	9	journal	journal	NOUN
ejpam-1980	144	10	on	on	ADP
ejpam-1980	144	11	mathematical	mathematical	ADJ
ejpam-1980	144	12	analysis	analysis	NOUN
ejpam-1980	144	13	,	,	PUNCT
ejpam-1980	144	14	27(2	27(2	NUM
ejpam-1980	144	15	)	)	PUNCT
ejpam-1980	144	16	,	,	PUNCT
ejpam-1980	144	17	594	594	NUM
ejpam-1980	144	18	-	-	SYM
ejpam-1980	144	19	608	608	NUM
ejpam-1980	144	20	.	.	NUM
ejpam-1980	144	21	1996	1996	NUM
ejpam-1980	144	22	.	.	PUNCT
ejpam-1980	145	1	[	[	X
ejpam-1980	145	2	4	4	X
ejpam-1980	145	3	]	]	X
ejpam-1980	145	4	g.	g.	PROPN
ejpam-1980	145	5	bohnké	bohnké	PROPN
ejpam-1980	145	6	.	.	PUNCT
ejpam-1980	146	1	treillis	treilli	NOUN
ejpam-1980	146	2	dondelettes	dondelette	VERB
ejpam-1980	146	3	associés	associés	PROPN
ejpam-1980	146	4	aux	aux	PROPN
ejpam-1980	146	5	groupes	groupes	PROPN
ejpam-1980	146	6	de	de	X
ejpam-1980	146	7	lorentz	lorentz	PROPN
ejpam-1980	146	8	,	,	PUNCT
ejpam-1980	146	9	annales	annale	NOUN
ejpam-1980	146	10	de	de	X
ejpam-1980	146	11	l’institut	l’institut	PROPN
ejpam-1980	146	12	henri	henri	PROPN
ejpam-1980	146	13	poincaré.	poincaré.	PROPN
ejpam-1980	146	14	section	section	PROPN
ejpam-1980	146	15	a	a	PRON
ejpam-1980	146	16	,	,	PUNCT
ejpam-1980	146	17	physique	physique	ADJ
ejpam-1980	146	18	théorique	théorique	PROPN
ejpam-1980	146	19	,	,	PUNCT
ejpam-1980	146	20	54	54	NUM
ejpam-1980	146	21	,	,	PUNCT
ejpam-1980	146	22	245	245	NUM
ejpam-1980	146	23	-	-	SYM
ejpam-1980	146	24	259	259	NUM
ejpam-1980	146	25	.	.	NOUN
ejpam-1980	146	26	1991	1991	NUM
ejpam-1980	146	27	.	.	PUNCT
ejpam-1980	147	1	[	[	X
ejpam-1980	147	2	5	5	X
ejpam-1980	147	3	]	]	PUNCT
ejpam-1980	147	4	g.	g.	PROPN
ejpam-1980	147	5	b.	b.	PROPN
ejpam-1980	147	6	folland	folland	PROPN
ejpam-1980	147	7	.	.	PUNCT
ejpam-1980	148	1	a	a	DET
ejpam-1980	148	2	course	course	NOUN
ejpam-1980	148	3	in	in	ADP
ejpam-1980	148	4	abstract	abstract	ADJ
ejpam-1980	148	5	harmonic	harmonic	ADJ
ejpam-1980	148	6	analysis	analysis	NOUN
ejpam-1980	148	7	,	,	PUNCT
ejpam-1980	148	8	crc	crc	NOUN
ejpam-1980	148	9	press	press	PROPN
ejpam-1980	148	10	,	,	PUNCT
ejpam-1980	148	11	boca	boca	PROPN
ejpam-1980	148	12	katon	katon	PROPN
ejpam-1980	148	13	,	,	PUNCT
ejpam-1980	148	14	1995	1995	NUM
ejpam-1980	148	15	.	.	PUNCT
ejpam-1980	149	1	[	[	X
ejpam-1980	149	2	6	6	NUM
ejpam-1980	149	3	]	]	PUNCT
ejpam-1980	149	4	h.	h.	PROPN
ejpam-1980	149	5	fuhr	fuhr	PROPN
ejpam-1980	149	6	.	.	PUNCT
ejpam-1980	149	7	wavelet	wavelet	NOUN
ejpam-1980	149	8	frames	frame	NOUN
ejpam-1980	149	9	and	and	CCONJ
ejpam-1980	149	10	admissibility	admissibility	NOUN
ejpam-1980	149	11	in	in	ADP
ejpam-1980	149	12	higher	high	ADJ
ejpam-1980	149	13	dimensions	dimension	NOUN
ejpam-1980	149	14	,	,	PUNCT
ejpam-1980	149	15	journal	journal	NOUN
ejpam-1980	149	16	of	of	ADP
ejpam-1980	149	17	mathematical	mathematical	ADJ
ejpam-1980	149	18	physics	physics	NOUN
ejpam-1980	149	19	,	,	PUNCT
ejpam-1980	149	20	37	37	NUM
ejpam-1980	149	21	,	,	PUNCT
ejpam-1980	149	22	6353	6353	NUM
ejpam-1980	149	23	-	-	SYM
ejpam-1980	149	24	6366	6366	NUM
ejpam-1980	149	25	.	.	PUNCT
ejpam-1980	149	26	1996	1996	NUM
ejpam-1980	149	27	.	.	PUNCT
ejpam-1980	150	1	[	[	X
ejpam-1980	150	2	7	7	X
ejpam-1980	150	3	]	]	X
ejpam-1980	150	4	h.	h.	PROPN
ejpam-1980	150	5	fuhr	fuhr	PROPN
ejpam-1980	150	6	.	.	PUNCT
ejpam-1980	150	7	admissible	admissible	ADJ
ejpam-1980	150	8	vectors	vector	NOUN
ejpam-1980	150	9	for	for	ADP
ejpam-1980	150	10	the	the	DET
ejpam-1980	150	11	regular	regular	ADJ
ejpam-1980	150	12	representations	representation	NOUN
ejpam-1980	150	13	,	,	PUNCT
ejpam-1980	150	14	proceedings	proceeding	NOUN
ejpam-1980	150	15	of	of	ADP
ejpam-1980	150	16	the	the	DET
ejpam-1980	150	17	american	american	PROPN
ejpam-1980	150	18	mathematical	mathematical	PROPN
ejpam-1980	150	19	society	society	NOUN
ejpam-1980	150	20	,	,	PUNCT
ejpam-1980	150	21	130	130	NUM
ejpam-1980	150	22	,	,	PUNCT
ejpam-1980	150	23	2959	2959	NUM
ejpam-1980	150	24	-	-	SYM
ejpam-1980	150	25	2970	2970	NUM
ejpam-1980	150	26	.	.	PUNCT
ejpam-1980	151	1	2002	2002	NUM
ejpam-1980	151	2	.	.	PUNCT
ejpam-1980	152	1	[	[	X
ejpam-1980	152	2	8	8	NUM
ejpam-1980	152	3	]	]	X
ejpam-1980	152	4	h.	h.	PROPN
ejpam-1980	152	5	fuhr	fuhr	PROPN
ejpam-1980	152	6	.	.	PUNCT
ejpam-1980	153	1	abstract	abstract	ADJ
ejpam-1980	153	2	harmonic	harmonic	ADJ
ejpam-1980	153	3	analysis	analysis	NOUN
ejpam-1980	153	4	of	of	ADP
ejpam-1980	153	5	continuous	continuous	ADJ
ejpam-1980	153	6	wavelet	wavelet	NOUN
ejpam-1980	153	7	transforms	transform	VERB
ejpam-1980	153	8	,	,	PUNCT
ejpam-1980	153	9	springer	springer	NOUN
ejpam-1980	153	10	lecture	lecture	NOUN
ejpam-1980	153	11	notes	note	NOUN
ejpam-1980	153	12	in	in	ADP
ejpam-1980	153	13	mathematics	mathematic	NOUN
ejpam-1980	153	14	,	,	PUNCT
ejpam-1980	153	15	nr	nr	PROPN
ejpam-1980	153	16	.	.	PROPN
ejpam-1980	153	17	1863	1863	NUM
ejpam-1980	153	18	,	,	PUNCT
ejpam-1980	153	19	berlin	berlin	PROPN
ejpam-1980	153	20	,	,	PUNCT
ejpam-1980	153	21	2005	2005	NUM
ejpam-1980	153	22	.	.	PUNCT
ejpam-1980	154	1	[	[	X
ejpam-1980	154	2	9	9	NUM
ejpam-1980	154	3	]	]	PUNCT
ejpam-1980	154	4	k.	k.	PROPN
ejpam-1980	154	5	grochenig	grochenig	PROPN
ejpam-1980	154	6	,	,	PUNCT
ejpam-1980	154	7	e.	e.	PROPN
ejpam-1980	154	8	kaniuth	kaniuth	PROPN
ejpam-1980	154	9	,	,	PUNCT
ejpam-1980	154	10	and	and	CCONJ
ejpam-1980	154	11	k.	k.	PROPN
ejpam-1980	154	12	f.	f.	PROPN
ejpam-1980	154	13	taylor	taylor	PROPN
ejpam-1980	154	14	.	.	PUNCT
ejpam-1980	155	1	compact	compact	ADJ
ejpam-1980	155	2	open	open	ADJ
ejpam-1980	155	3	sets	set	NOUN
ejpam-1980	155	4	in	in	ADP
ejpam-1980	155	5	duals	dual	NOUN
ejpam-1980	155	6	and	and	CCONJ
ejpam-1980	155	7	projections	projection	NOUN
ejpam-1980	155	8	in	in	ADP
ejpam-1980	155	9	l1	l1	PROPN
ejpam-1980	155	10	-	-	PUNCT
ejpam-1980	155	11	algebras	algebras	PROPN
ejpam-1980	155	12	of	of	ADP
ejpam-1980	155	13	certain	certain	ADJ
ejpam-1980	155	14	semi	semi	ADJ
ejpam-1980	155	15	-	-	ADJ
ejpam-1980	155	16	direct	direct	ADJ
ejpam-1980	155	17	product	product	NOUN
ejpam-1980	155	18	groups	group	NOUN
ejpam-1980	155	19	,	,	PUNCT
ejpam-1980	155	20	mathematical	mathematical	ADJ
ejpam-1980	155	21	proceedings	proceeding	NOUN
ejpam-1980	155	22	of	of	ADP
ejpam-1980	155	23	the	the	DET
ejpam-1980	155	24	cambridge	cambridge	PROPN
ejpam-1980	155	25	philosophical	philosophical	ADJ
ejpam-1980	155	26	society	society	NOUN
ejpam-1980	155	27	,	,	PUNCT
ejpam-1980	155	28	111	111	NUM
ejpam-1980	155	29	,	,	PUNCT
ejpam-1980	155	30	545	545	NUM
ejpam-1980	155	31	-	-	SYM
ejpam-1980	155	32	556	556	NUM
ejpam-1980	155	33	.	.	NOUN
ejpam-1980	155	34	1992	1992	NUM
ejpam-1980	155	35	.	.	PUNCT
ejpam-1980	156	1	[	[	X
ejpam-1980	156	2	10	10	NUM
ejpam-1980	156	3	]	]	PUNCT
ejpam-1980	156	4	t.	t.	PROPN
ejpam-1980	156	5	h.	h.	PROPN
ejpam-1980	156	6	koornwinder	koornwinder	PROPN
ejpam-1980	156	7	.	.	PUNCT
ejpam-1980	157	1	wavelets	wavelet	NOUN
ejpam-1980	157	2	:	:	PUNCT
ejpam-1980	157	3	an	an	DET
ejpam-1980	157	4	elementary	elementary	ADJ
ejpam-1980	157	5	treatment	treatment	NOUN
ejpam-1980	157	6	of	of	ADP
ejpam-1980	157	7	theory	theory	NOUN
ejpam-1980	157	8	and	and	CCONJ
ejpam-1980	157	9	applications	application	NOUN
ejpam-1980	157	10	,	,	PUNCT
ejpam-1980	157	11	world	world	NOUN
ejpam-1980	157	12	sientific	sientific	PROPN
ejpam-1980	157	13	,	,	PUNCT
ejpam-1980	157	14	singapore	singapore	PROPN
ejpam-1980	157	15	,	,	PUNCT
ejpam-1980	157	16	1993	1993	NUM
ejpam-1980	157	17	.	.	PUNCT
ejpam-1980	158	1	[	[	X
ejpam-1980	158	2	11	11	NUM
ejpam-1980	158	3	]	]	PUNCT
ejpam-1980	158	4	r.	r.	PROPN
ejpam-1980	158	5	s.	s.	PROPN
ejpam-1980	158	6	laugesen	laugesen	PROPN
ejpam-1980	158	7	,	,	PUNCT
ejpam-1980	158	8	n.	n.	PROPN
ejpam-1980	158	9	weaver	weaver	PROPN
ejpam-1980	158	10	,	,	PUNCT
ejpam-1980	158	11	g.	g.	PROPN
ejpam-1980	158	12	l.	l.	PROPN
ejpam-1980	158	13	weiss	weiss	PROPN
ejpam-1980	158	14	,	,	PUNCT
ejpam-1980	158	15	and	and	CCONJ
ejpam-1980	158	16	e.	e.	PROPN
ejpam-1980	158	17	n.	n.	PROPN
ejpam-1980	158	18	wilson	wilson	PROPN
ejpam-1980	158	19	.	.	PUNCT
ejpam-1980	159	1	a	a	DET
ejpam-1980	159	2	characterization	characterization	NOUN
ejpam-1980	159	3	of	of	ADP
ejpam-1980	159	4	the	the	DET
ejpam-1980	159	5	higher	high	ADJ
ejpam-1980	159	6	dimensional	dimensional	ADJ
ejpam-1980	159	7	groups	group	NOUN
ejpam-1980	159	8	associated	associate	VERB
ejpam-1980	159	9	with	with	ADP
ejpam-1980	159	10	continuous	continuous	ADJ
ejpam-1980	159	11	wavelets	wavelet	NOUN
ejpam-1980	159	12	,	,	PUNCT
ejpam-1980	159	13	the	the	DET
ejpam-1980	159	14	journal	journal	NOUN
ejpam-1980	159	15	of	of	ADP
ejpam-1980	159	16	geometric	geometric	ADJ
ejpam-1980	159	17	analysis	analysis	NOUN
ejpam-1980	159	18	,	,	PUNCT
ejpam-1980	159	19	12(1	12(1	NUM
ejpam-1980	159	20	)	)	PUNCT
ejpam-1980	159	21	,	,	PUNCT
ejpam-1980	159	22	89	89	NUM
ejpam-1980	159	23	-	-	SYM
ejpam-1980	159	24	102	102	NUM
ejpam-1980	159	25	.	.	PUNCT
ejpam-1980	159	26	2002	2002	NUM
ejpam-1980	159	27	.	.	PUNCT
ejpam-1980	160	1	[	[	X
ejpam-1980	160	2	12	12	NUM
ejpam-1980	160	3	]	]	X
ejpam-1980	160	4	g.	g.	PROPN
ejpam-1980	160	5	weiss	weiss	PROPN
ejpam-1980	160	6	and	and	CCONJ
ejpam-1980	160	7	e.	e.	PROPN
ejpam-1980	160	8	wilson	wilson	PROPN
ejpam-1980	161	1	the	the	DET
ejpam-1980	161	2	mathematical	mathematical	ADJ
ejpam-1980	161	3	theory	theory	NOUN
ejpam-1980	161	4	of	of	ADP
ejpam-1980	161	5	wavelets	wavelet	NOUN
ejpam-1980	161	6	,	,	PUNCT
ejpam-1980	161	7	proceedings	proceeding	NOUN
ejpam-1980	161	8	of	of	ADP
ejpam-1980	161	9	the	the	DET
ejpam-1980	161	10	nato	nato	PROPN
ejpam-1980	161	11	-	-	PUNCT
ejpam-1980	161	12	asi	asi	NOUN
ejpam-1980	161	13	meeting	meeting	NOUN
ejpam-1980	161	14	.	.	PUNCT
ejpam-1980	162	1	harmonic	harmonic	ADJ
ejpam-1980	162	2	analysis	analysis	NOUN
ejpam-1980	162	3	2000	2000	NUM
ejpam-1980	162	4	–	–	PUNCT
ejpam-1980	162	5	a	a	DET
ejpam-1980	162	6	celebration	celebration	NOUN
ejpam-1980	162	7	.	.	PUNCT
ejpam-1980	163	1	kluwer	kluwer	NOUN
ejpam-1980	163	2	,	,	PUNCT
ejpam-1980	163	3	2001	2001	NUM
ejpam-1980	163	4	.	.	PUNCT