Riesz wavelets and generalized multiresolution analyses. (Q1399696)
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scientific article; zbMATH DE number 1957120
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Riesz wavelets and generalized multiresolution analyses. |
scientific article; zbMATH DE number 1957120 |
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Riesz wavelets and generalized multiresolution analyses. (English)
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30 July 2003
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The author investigates Riesz wavelets in the context of generalized multiresolution analysis. In particular, he shows that the class of wavelets obtained by an MRA, introduced by the reviewer in [Appl. Comput. Harmon. Anal. 7, 315--331 (1999; Zbl 0944.42028)] is the same as the class of biorthogonal wavelets associated with an MRA.
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Riesz wavelet
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multiresolution analysis
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generalized multiresolution analysis
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shift invariant space
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dimension function
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biorthogonal wavelets
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MRA
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