On wavelet multiplier and Landau-Pollak-Slepian operators on \(L^2(G,\mathbb{H})\) (Q2071844)
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scientific article; zbMATH DE number 7466718
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On wavelet multiplier and Landau-Pollak-Slepian operators on \(L^2(G,\mathbb{H})\) |
scientific article; zbMATH DE number 7466718 |
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On wavelet multiplier and Landau-Pollak-Slepian operators on \(L^2(G,\mathbb{H})\) (English)
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31 January 2022
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The authors generalize the concepts of wavelet multiplier and Landau-Pollak-Slepian operator to the setting of \(L^2(G^2,\mathcal{H})\), where \(G\) is a locally compact abelian group and \(\mathcal{H}\) is the algebra of quaternions. They analyze the basic properties of these operators.
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locally compact abelian group
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dual group
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wavelet multiplier operator
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Landau-Pollak-Slepian operator
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admissible wavelets
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unitary representation
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quaternion algebra
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