DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Hong Oh | ko |
dc.contributor.author | Kim, RY | ko |
dc.contributor.author | Lim, JK | ko |
dc.date.accessioned | 2013-03-03T22:33:00Z | - |
dc.date.available | 2013-03-03T22:33:00Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2003-02 | - |
dc.identifier.citation | ADVANCES IN COMPUTATIONAL MATHEMATICS, v.18, no.2-4, pp.269 - 296 | - |
dc.identifier.issn | 1019-7168 | - |
dc.identifier.uri | http://hdl.handle.net/10203/80736 | - |
dc.description.abstract | We introduce the concepts of quasi-biorthogonal frame multiresolution analyses and quasi-biorthogonal frame wavelets which are natural generalizations of biorthogonal multiresolution analyses and biorthogonal wavelets, respectively. Necessary and sufficient conditions for quasi-biorthogonal frame multiresolution analyses to admit quasi-biorthogonal wavelet frames are given, and a non-trivial example of quasi-biorthogonal frame multiresolution analyses admitting quasi-biorthogonal frame wavelets is constructed. Finally, we characterize the pair of quasi-biorthogonal frame wavelets that is associated with quasi-biorthogonal frame multiresolution analyses. | - |
dc.language | English | - |
dc.publisher | SPRINGER | - |
dc.subject | SHIFT-INVARIANT SUBSPACES | - |
dc.subject | BASES | - |
dc.subject | DECOMPOSITIONS | - |
dc.subject | L(2)(R(D)) | - |
dc.subject | SPACES | - |
dc.title | Quasi-biorthogonal frame multiresolution analyses and wavelets | - |
dc.type | Article | - |
dc.identifier.wosid | 000179558700010 | - |
dc.identifier.scopusid | 2-s2.0-0037212206 | - |
dc.type.rims | ART | - |
dc.citation.volume | 18 | - |
dc.citation.issue | 2-4 | - |
dc.citation.beginningpage | 269 | - |
dc.citation.endingpage | 296 | - |
dc.citation.publicationname | ADVANCES IN COMPUTATIONAL MATHEMATICS | - |
dc.identifier.doi | 10.1023/A:1021371227388 | - |
dc.contributor.localauthor | Kim, Hong Oh | - |
dc.contributor.nonIdAuthor | Kim, RY | - |
dc.contributor.nonIdAuthor | Lim, JK | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | wavelets | - |
dc.subject.keywordAuthor | frames | - |
dc.subject.keywordAuthor | multiresolution analysis | - |
dc.subject.keywordAuthor | shift-invariant spaces | - |
dc.subject.keywordPlus | SHIFT-INVARIANT SUBSPACES | - |
dc.subject.keywordPlus | BASES | - |
dc.subject.keywordPlus | DECOMPOSITIONS | - |
dc.subject.keywordPlus | L(2)(R(D)) | - |
dc.subject.keywordPlus | SPACES | - |
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