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Quincunx multiresolution analysis for \(L^2(\mathbb Q^2_2)\) - MaRDI portal

Quincunx multiresolution analysis for \(L^2(\mathbb Q^2_2)\) (Q1760234)

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scientific article; zbMATH DE number 6105046
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English
Quincunx multiresolution analysis for \(L^2(\mathbb Q^2_2)\)
scientific article; zbMATH DE number 6105046

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    Quincunx multiresolution analysis for \(L^2(\mathbb Q^2_2)\) (English)
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    13 November 2012
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    The authors construct a \(p\)-adic wavelet system (\(p\) is a prime number), where instead of using dilations by \(p\), they employ a more general matrix dilation. In particular, they generate a multiresolution analysis with a \(p\)-adic matrix \(A\) for which \(|\det A|_{2}=2\).
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    \(p\)-adic wavelet system
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    \(p\)-adic mutiresolution analysis
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    quincunx matrix
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