DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Hong-Oh | ko |
dc.contributor.author | Kim, RAE-YOUNG | ko |
dc.contributor.author | Lim, JAE-KUN | ko |
dc.date.accessioned | 2013-03-04T02:54:33Z | - |
dc.date.available | 2013-03-04T02:54:33Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2003-04 | - |
dc.identifier.citation | BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, v.67, no.2, pp.285 - 295 | - |
dc.identifier.issn | 0004-9727 | - |
dc.identifier.uri | http://hdl.handle.net/10203/81622 | - |
dc.description.abstract | A multivariate semi-orthogonal frame multiresolution analysis with a general integer dilation matrix and multiple scaling functions is considered. We first derive the formulas of the lengths of the initial (central) shift-invariant space V-0 and the next dilation space V-1, and, using these formulas, we then address the problem of the number of the elements of a wavelet set, that is, the length of the shift-invariant space W-0 := V-1 circle minus V-0. Finally, we show that there does not exist a 'genuine' frame multiresolution analysis for which V-0 and V-1 axe quasi-stable spaces satisfying the usual length condition. | - |
dc.language | English | - |
dc.publisher | CAMBRIDGE UNIV PRESS | - |
dc.subject | SHIFT-INVARIANT SUBSPACES | - |
dc.subject | BASES | - |
dc.subject | L(2)(R(D)) | - |
dc.title | Local analysis of frame multiresolution analysis with a general dilation matrix | - |
dc.type | Article | - |
dc.identifier.wosid | 000182620100011 | - |
dc.identifier.scopusid | 2-s2.0-0038249049 | - |
dc.type.rims | ART | - |
dc.citation.volume | 67 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 285 | - |
dc.citation.endingpage | 295 | - |
dc.citation.publicationname | BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | - |
dc.contributor.localauthor | Kim, Hong-Oh | - |
dc.contributor.nonIdAuthor | Kim, RAE-YOUNG | - |
dc.contributor.nonIdAuthor | Lim, JAE-KUN | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | SHIFT-INVARIANT SUBSPACES | - |
dc.subject.keywordPlus | BASES | - |
dc.subject.keywordPlus | L(2)(R(D)) | - |
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