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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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2013/190981 |
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| _version_ | 1832566842114179072 |
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| author | Byung Keun Sohn |
| author_facet | Byung Keun Sohn |
| author_sort | Byung Keun Sohn |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-9a7c29131129403e8a4652c29beb0bd4 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9a7c29131129403e8a4652c29beb0bd42025-02-03T01:03:01ZengWileyInternational 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 |
| spellingShingle | Byung Keun Sohn Multiresolution Expansion and Approximation Order of Generalized Tempered Distributions International Journal of Mathematics and Mathematical Sciences |
| title | 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_short | Multiresolution Expansion and Approximation Order of Generalized Tempered Distributions |
| title_sort | multiresolution expansion and approximation order of generalized tempered distributions |
| url | http://dx.doi.org/10.1155/2013/190981 |
| work_keys_str_mv | AT byungkeunsohn multiresolutionexpansionandapproximationorderofgeneralizedtempereddistributions |