On criteria for periodic wavelet frame
Classical Analysis and ODEs
2024-10-07 v2
Abstract
We provide constructive necessary and sufficient conditions for a family of periodic wavelets to be a Parseval wavelet frame. The criterion generalizes unitary and oblique extension principles. The case of one wavelet generator and refinable functions being trigonometric polynomials is discussed in details.
Cite
@article{arxiv.2409.01165,
title = {On criteria for periodic wavelet frame},
author = {Anastassia Gorsanova and Elena Lebedeva},
journal= {arXiv preprint arXiv:2409.01165},
year = {2024}
}
Comments
21 pages