Periodic wavelets on the p-adic Vilenkin group
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 . Results on the corresponding fast algorithms for decomposition and reconstruction are also discussed.
Key wordsDirichlet kernel Cantor dyadic group Vilenkin groups periodic wavelets multiresolution analysis Walsh functions discrete Vilenkin-Chrestenson transform
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