Characterizations of biorthogonal wavelets which are associated with biorthogonal multiresolution analyses

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We 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.
Publisher
Academic Press Inc Elsevier Science
Issue Date
2001-09
Language
English
Article Type
Article
Keywords

SHIFT-INVARIANT SUBSPACES; L(2)(R(D)); SPACES; FRAMES; BASES

Citation

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, v.11, no.2, pp.263 - 272

ISSN
1063-5203
URI
http://hdl.handle.net/10203/78944
Appears in Collection
MA-Journal Papers(저널논문)
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