p-adic tight wavelet frames
Functional Analysis
2022-03-15 v1
Abstract
We propose a simple method to construct step mask and corresponding step wavelet functions that generate tight wavelet frames on the field of p-adic numbers. To construct tight wavelet frames we do not use the principle of unitary extension, we use Pontryagin's principle of duality.
Cite
@article{arxiv.2203.06352,
title = {p-adic tight wavelet frames},
author = {Sergey Lukomskii and Aleksandr Vodolazov},
journal= {arXiv preprint arXiv:2203.06352},
year = {2022}
}
Comments
21 pages, 6 figures