Characterizations of biorthogonal wavelets which are associated with biorthogonal multiresolution analyses

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dc.contributor.authorKim, Hong Ohko
dc.date.accessioned2013-03-03T13:50:33Z-
dc.date.available2013-03-03T13:50:33Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2001-09-
dc.identifier.citationAPPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, v.11, no.2, pp.263 - 272-
dc.identifier.issn1063-5203-
dc.identifier.urihttp://hdl.handle.net/10203/78944-
dc.description.abstractWe first characterize the Riesz wavelets which are associated with multiresolution analyses (MRAs) and the Riesz wavelets whose duals are also Riesz wavelets. The characterizations show that if a Riesz wavelet is associated with an MRA, then it has a dual Riesz wavelet. We then improve Wang's characterization for a pair of biorthogonal wavelets to be associated with biorthogonal MRAs by showing that one of the two conditions in his characterization is redundant. (C) 2001 Academic Press.-
dc.languageEnglish-
dc.publisherAcademic Press Inc Elsevier Science-
dc.subjectSHIFT-INVARIANT SUBSPACES-
dc.subjectL(2)(R(D))-
dc.subjectSPACES-
dc.subjectFRAMES-
dc.subjectBASES-
dc.titleCharacterizations of biorthogonal wavelets which are associated with biorthogonal multiresolution analyses-
dc.typeArticle-
dc.identifier.wosid000170672300006-
dc.identifier.scopusid2-s2.0-0035447292-
dc.type.rimsART-
dc.citation.volume11-
dc.citation.issue2-
dc.citation.beginningpage263-
dc.citation.endingpage272-
dc.citation.publicationnameAPPLIED AND COMPUTATIONAL HARMONIC ANALYSIS-
dc.contributor.localauthorKim, Hong Oh-
dc.type.journalArticleArticle-
dc.subject.keywordPlusSHIFT-INVARIANT SUBSPACES-
dc.subject.keywordPlusL(2)(R(D))-
dc.subject.keywordPlusSPACES-
dc.subject.keywordPlusFRAMES-
dc.subject.keywordPlusBASES-
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