Characterizations of biorthogonal wavelets which are associated with biorthogonal multiresolution analyses
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
- Appears in Collection
- MA-Journal Papers(저널논문)
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