DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, J. M | ko |
dc.contributor.author | Kwon, Kil Hyun | ko |
dc.date.accessioned | 2013-03-07T20:29:59Z | - |
dc.date.available | 2013-03-07T20:29:59Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2008-03 | - |
dc.identifier.citation | INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, v.6, no.2, pp.223 - 248 | - |
dc.identifier.issn | 0219-6913 | - |
dc.identifier.uri | http://hdl.handle.net/10203/91245 | - |
dc.description.abstract | For any phi(t) in L-2(R), let V (phi) be the closed shift invariant subspace of L-2(R) spanned by integer translates {phi(t - n) : n is an element of Z} of phi(t). Assuming that phi(t) is a frame or a Riesz generator of V(phi), we first find conditions under which V(phi) becomes a reproducing kernel Hilbert space. We then find necessary and sufficient conditions under which an irregular or a regular shifted sampling expansion formula holds on V(phi) and obtain truncation error estimates of the sampling series. We also find a sufficient condition for a function in L-2(R) that belongs to a sampling subspace of L-2(R). Several illustrating examples are also provided. | - |
dc.language | English | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.subject | WAVELET SUBSPACES | - |
dc.subject | THEOREM | - |
dc.subject | L(2)(R(D)) | - |
dc.title | Sampling expansion in shift invariant spaces | - |
dc.type | Article | - |
dc.identifier.wosid | 000254425300006 | - |
dc.identifier.scopusid | 2-s2.0-44349105315 | - |
dc.type.rims | ART | - |
dc.citation.volume | 6 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 223 | - |
dc.citation.endingpage | 248 | - |
dc.citation.publicationname | INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | - |
dc.contributor.localauthor | Kwon, Kil Hyun | - |
dc.type.journalArticle | Article; Proceedings Paper | - |
dc.subject.keywordAuthor | shift invariant space | - |
dc.subject.keywordAuthor | reproducing kernel Hilbert space | - |
dc.subject.keywordAuthor | sampling expansion | - |
dc.subject.keywordAuthor | truncation error | - |
dc.subject.keywordPlus | WAVELET SUBSPACES | - |
dc.subject.keywordPlus | THEOREM | - |
dc.subject.keywordPlus | L(2)(R(D)) | - |
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