Orthogonal Wavelet Bases on Generalized Vilenkin Groups
Functional Analysis
2025-06-24 v1
Abstract
Wavelet systems on the generalized Vilenkin groups are considered. An algorithmic method for the construction of orthogonal wavelet bases is presented. These bases consist of compactly supported test functions (i.e. functions whose Fourier transform is also compactly supported).
Cite
@article{arxiv.2506.17677,
title = {Orthogonal Wavelet Bases on Generalized Vilenkin Groups},
author = {M. Babushkin and M. Skopina},
journal= {arXiv preprint arXiv:2506.17677},
year = {2025}
}
Comments
10 pages