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Infinite matrices, wavelet coefficients and frames - MaRDI portal

Infinite matrices, wavelet coefficients and frames (Q1777885)

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scientific article; zbMATH DE number 2171811
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Infinite matrices, wavelet coefficients and frames
scientific article; zbMATH DE number 2171811

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    Infinite matrices, wavelet coefficients and frames (English)
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    25 May 2005
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    Summary: We study the action of \(A\) on \( f\in L^2(\mathbb{R})\) and on its wavelet coefficients, where \( A=({a_{lmjk} })_{lmjk}\) is a double infinite matrix. We find the frame condition for the \(A\)-transform of \(f \in L^2 (\mathbb{R})\) whose wavelet series expansion is known.
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    double infinite matrix
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    wavelet series expansion
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    frame
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