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College of Natural Sciences(자연과학대학)Dept. of Mathematical Sciences(수리과학과)MA-Journal Papers(저널논문)

Quasi-biorthogonal frame multiresolution analyses and wavelets

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dc.contributor.authorKim, Hong Ohko
dc.contributor.authorKim, RYko
dc.contributor.authorLim, JKko
dc.date.accessioned2013-03-03T22:33:00Z-
dc.date.available2013-03-03T22:33:00Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2003-02-
dc.identifier.citationADVANCES IN COMPUTATIONAL MATHEMATICS, v.18, no.2-4, pp.269 - 296-
dc.identifier.issn1019-7168-
dc.identifier.urihttp://hdl.handle.net/10203/80736-
dc.description.abstractWe 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.languageEnglish-
dc.publisherSPRINGER-
dc.subjectSHIFT-INVARIANT SUBSPACES-
dc.subjectBASES-
dc.subjectDECOMPOSITIONS-
dc.subjectL(2)(R(D))-
dc.subjectSPACES-
dc.titleQuasi-biorthogonal frame multiresolution analyses and wavelets-
dc.typeArticle-
dc.identifier.wosid000179558700010-
dc.identifier.scopusid2-s2.0-0037212206-
dc.type.rimsART-
dc.citation.volume18-
dc.citation.issue2-4-
dc.citation.beginningpage269-
dc.citation.endingpage296-
dc.citation.publicationnameADVANCES IN COMPUTATIONAL MATHEMATICS-
dc.identifier.doi10.1023/A:1021371227388-
dc.contributor.localauthorKim, Hong Oh-
dc.contributor.nonIdAuthorKim, RY-
dc.contributor.nonIdAuthorLim, JK-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorwavelets-
dc.subject.keywordAuthorframes-
dc.subject.keywordAuthormultiresolution analysis-
dc.subject.keywordAuthorshift-invariant spaces-
dc.subject.keywordPlusSHIFT-INVARIANT SUBSPACES-
dc.subject.keywordPlusBASES-
dc.subject.keywordPlusDECOMPOSITIONS-
dc.subject.keywordPlusL(2)(R(D))-
dc.subject.keywordPlusSPACES-
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