Multiresolution Expansion and Approximation Order of Generalized Tempered Distributions

Let be the generalized tempered distributions of -growth with restricted order , where the function grows faster than any linear functions as . We show the convergence of multiresolution expansions of in the test function space of . In addition, we show that the kernel of an integral operator p...

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Main Author:	Byung Keun Sohn
Format:	Article
Language:	English
Published:	Hindawi Limited 2013-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Online Access:	http://dx.doi.org/10.1155/2013/190981

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spelling	doaj-9a7c29131129403e8a4652c29beb0bd42020-11-24T23:03:22ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252013-01-01201310.1155/2013/190981190981Multiresolution Expansion and Approximation Order of Generalized Tempered DistributionsByung Keun Sohn0Department of Mathematics, Inje University, Kimhae 621-749, Republic of KoreaLet be the generalized tempered distributions of -growth with restricted order , where the function grows faster than any linear functions as . We show the convergence of multiresolution expansions of in the test function space of . In addition, we show that the kernel of an integral operator provides approximation order in in the context of shift-invariant spaces.http://dx.doi.org/10.1155/2013/190981
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Byung Keun Sohn
spellingShingle	Byung Keun Sohn Multiresolution Expansion and Approximation Order of Generalized Tempered Distributions International Journal of Mathematics and Mathematical Sciences
author_facet	Byung Keun Sohn
author_sort	Byung Keun Sohn
title	Multiresolution Expansion and Approximation Order of Generalized Tempered Distributions
title_short	Multiresolution Expansion and Approximation Order of Generalized Tempered Distributions
title_full	Multiresolution Expansion and Approximation Order of Generalized Tempered Distributions
title_fullStr	Multiresolution Expansion and Approximation Order of Generalized Tempered Distributions
title_full_unstemmed	Multiresolution Expansion and Approximation Order of Generalized Tempered Distributions
title_sort	multiresolution expansion and approximation order of generalized tempered distributions
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	2013-01-01
description	Let be the generalized tempered distributions of -growth with restricted order , where the function grows faster than any linear functions as . We show the convergence of multiresolution expansions of in the test function space of . In addition, we show that the kernel of an integral operator provides approximation order in in the context of shift-invariant spaces.
url	http://dx.doi.org/10.1155/2013/190981
work_keys_str_mv	AT byungkeunsohn multiresolutionexpansionandapproximationorderofgeneralizedtempereddistributions
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Multiresolution Expansion and Approximation Order of Generalized Tempered Distributions

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