\(p\)-adic wavelets and their applications (Q483603)
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scientific article; zbMATH DE number 6381216
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(p\)-adic wavelets and their applications |
scientific article; zbMATH DE number 6381216 |
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\(p\)-adic wavelets and their applications (English)
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17 December 2014
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The paper is a survey of the theory of complex-valued wavelet bases on \(p\)-adic spaces and their interpretation as bases of compactly supported eigenvectors of \(p\)-adic pseudodifferential operators. The authors consider the following subjects: construction of \(p\)-adic wavelet bases; connections with the representation theory of \(p\)-adic groups (orbits of functions as wavelet frames); wavelets with matrix dilations; multiresolution analysis and multiresolution wavelet frames; \(p\)-adic Shannon-Kotelnikov theorem. The paper contains a rich list of references on the above topics and related subjects from \(p\)-adic analysis and mathematical physics.
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\(p\)-adic wavelets
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\(p\)-adic pseudodifferential operators
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multiresolution analysis
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0.9475008
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