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Periodic wavelets on the p-adic Vilenkin group

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Abstract

Using the Walsh-Dirichlet type kernel, we construct periodic wavelets on the p-adic Vilenkin group. These wavelets are similar to the trigonometric wavelets which were introduced by C. K. Chui and H. N. Mhaskar [1]. Results on the corresponding fast algorithms for decomposition and reconstruction are also discussed.

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Authors and Affiliations

  1. Mathematics Department, Russian State Geological Prospecting University, 23, Ulitsa Miklukho - Maklaya, Moscow, 117997, Russia

    Yuri A. Farkov

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  1. Yuri A. Farkov
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Correspondence to Yuri A. Farkov.

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The text was submitted by the author in English.

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Farkov, Y.A. Periodic wavelets on the p-adic Vilenkin group. P-Adic Num Ultrametr Anal Appl 3, 281–287 (2011). https://doi.org/10.1134/S2070046611040030

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  • DOI: https://doi.org/10.1134/S2070046611040030

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