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arXiv · 1303.5635

Trees in Wavelet analysis on Vilenkin groups

S. F. Lukomskii
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Abstract

We consider a class of $(1,M)$-elementary step functions on the $p$-adic Vilenkin group. We prove that $(1,M)$-elementary step function generates a MRA on $p$-adic Vilenkin group iff it is generated by a rooted tree on the set of vertices $\{0,1,\dots p-1\}$ with 0 as a root. Bibliography: 14 titles.

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S. F. Lukomskii. 2013-03-22. Trees in Wavelet analysis on Vilenkin groups. https://arxiv.org/abs/1303.5635

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