Quasi-biorthogonal frame multiresolution analyses and wavelets
We 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.
- Publisher
- SPRINGER
- Issue Date
- 2003-02
- Language
- English
- Article Type
- Article
- Keywords
SHIFT-INVARIANT SUBSPACES; BASES; DECOMPOSITIONS; L(2)(R(D)); SPACES
- Citation
ADVANCES IN COMPUTATIONAL MATHEMATICS, v.18, no.2-4, pp.269 - 296
- ISSN
- 1019-7168
- Appears in Collection
- MA-Journal Papers(저널논문)
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