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arXiv · 1703.06771

Riesz Wavelets, Tiling and Spectral Sets in LCA Groups

Azita Mayeli
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Abstract

This paper is devoted to the study of geometry properties of wavelet and Riesz wavelet sets on locally compact abelian groups. The catalyst for our research is a result by Wang ([32], Theorem 1.1) in the Euclidean wavelet theory. Here, we extend the result to wavelet and Riesz wavelet collection of sets in infinite locally compact abelian groups.

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Azita Mayeli. 2017-03-20. Riesz Wavelets, Tiling and Spectral Sets in LCA Groups. https://arxiv.org/abs/1703.06771

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