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Wavelet frames related to Walsh functions

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Abstract

We describe three types of compactly supported wavelet frames associated with Walsh functions: (1) MRA-based tight frames, (2) frames obtained from the Daubechies-type “admissible condition”, and (3) frames based on the Walsh–Parseval type kernels. Parametric wavelet sets for Vilenkin groups and some related results are also discussed.

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  1. Department of Applied Information Technology, Russian Presidential Academy of National Economy and Public Administration (RANEPA), pr. Vernadskogo, 84, 119571, Moscow, Russia

    Yuri A. Farkov

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  1. Yuri A. Farkov
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Farkov, Y.A. Wavelet frames related to Walsh functions. European Journal of Mathematics 5, 250–267 (2019). https://doi.org/10.1007/s40879-018-0220-6

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  • DOI: https://doi.org/10.1007/s40879-018-0220-6

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