Unconditional biorthogonal wavelet bases in~\(L^p ({\mathbb R}^d)\) (Q2773354)
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scientific article; zbMATH DE number 1709944
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unconditional biorthogonal wavelet bases in~\(L^p ({\mathbb R}^d)\) |
scientific article; zbMATH DE number 1709944 |
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21 February 2002
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biorthogonal wavelet sets
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dilation matrix
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unconditional basis
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Unconditional biorthogonal wavelet bases in~\(L^p ({\mathbb R}^d)\) (English)
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The author proves that a biorthogonal wavelet basis yields an unconditional basis in all spaces \(L^p(R^d)\) with \(1 < p < \infty\) provided the biorthogonal wavelet set functions satisfy weak decay conditions. The biorthogonal wavelet set is associated with an arbitrary dilation matrix in any dimension.
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