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A characterization of tight wavelet frames on local fields of positive characteristic - MaRDI portal

A characterization of tight wavelet frames on local fields of positive characteristic (Q897405)

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scientific article; zbMATH DE number 6521982
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A characterization of tight wavelet frames on local fields of positive characteristic
scientific article; zbMATH DE number 6521982

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    A characterization of tight wavelet frames on local fields of positive characteristic (English)
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    18 December 2015
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    The authors provide a characterization of tight wavelet frames on local fields of positive characteristic. This result generalizes the well-known characterization of Parseval frames for the space \(L^2(\mathbb{R})\) by means of two basic equations in the Fourier domain (cf. [\textit{B. Behera} and \textit{Q. Jahan}, Collect. Math. 66, No. 1, 33--53 (2015; Zbl 1308.42029)]).
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    frame
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    wavelet
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    tight frame
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    local field
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    Fourier transform
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