English

Riesz Wavelets, Tiling and Spectral Sets in LCA Groups

Functional Analysis 2017-03-21 v1 Representation Theory

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.

Keywords

Cite

@article{arxiv.1703.06771,
  title  = {Riesz Wavelets, Tiling and Spectral Sets in LCA Groups},
  author = {Azita Mayeli},
  journal= {arXiv preprint arXiv:1703.06771},
  year   = {2017}
}

Comments

18 pages

R2 v1 2026-06-22T18:50:59.402Z