Two-wavelet localization operators on \(L^p(\mathbb{R}^n)\) for the Weyl-Heisenberg group (Q1885305)
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scientific article; zbMATH DE number 2111519
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two-wavelet localization operators on \(L^p(\mathbb{R}^n)\) for the Weyl-Heisenberg group |
scientific article; zbMATH DE number 2111519 |
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Two-wavelet localization operators on \(L^p(\mathbb{R}^n)\) for the Weyl-Heisenberg group (English)
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28 October 2004
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The paper under review introduces a generalization of \textit{I. Daubechies}' localization operators [IEEE Trans. Inf. Theory 34, No. 4, 605--612 (1988; Zbl 0672.42007)], by means of introducing the dependence of the operator on an additional Weyl-Heisenberg wavelet. The main results provide sufficient conditions for such generalizations to be bounded and compact operators on the spaces \(L^p(\mathbb{R}^d)\), where \(p \in [r, r']\), with special interest given to the case \(1\leq p \leq \infty\).
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admissible wavelet
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localization operator
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Weyl-Heisenberg group
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0.9195775
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0.91860604
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0.9098697
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0.90435714
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0.8949262
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0.89452446
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0.8893274
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