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arXiv · 1903.09194

Wavelets on compact abelian groups

Marcin Bownik·Qaiser Jahan
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Abstract

Multiresolution analysis (MRA) on compact abelian group $G$ has been constructed with epimorphism as a dilation operator. We show a characterization of scaling sequences of an MRA on $L^p(G)$, $1\le p<\infty$. With the help of this scaling sequence we construct a wavelet orthonormal basis of $L^2(G)$.

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Marcin Bownik, Qaiser Jahan. 2019-03-21. Wavelets on compact abelian groups. https://arxiv.org/abs/1903.09194

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