Periodic wavelets on the p-adic Vilenkin group (original) (raw)

P-Adic Numbers, Ultrametric Analysis, and Applications, 2011

Abstract

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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