Characterizations of dual multiwavelet frames of periodic functions (Q2812449)

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scientific article; zbMATH DE number 6594380
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Characterizations of dual multiwavelet frames of periodic functions
scientific article; zbMATH DE number 6594380

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    Characterizations of dual multiwavelet frames of periodic functions (English)
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    16 June 2016
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    multirefinable generators
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    dual multiwavelet frames
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    mixed fundamental sequences
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    extension principles
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    The author characterizes dual multiwavelet frames for \(L_2[0,1)^s\) from a pair of \(\mathbb Z^s\)-periodic multirefinable generators using mixed fundamental sequences and mixed extension principles. As an application of his results, he produces dual multiwavelet frames for \(L_2(\mathbb T^2)\) and \(L_2(\mathbb T^s)\).
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