A remark on dilation-and-modulation frames for $L^2(\mathbb{R}_+)$
Functional Analysis
2025-06-24 v1
Abstract
We show that every rationally sampled dilation-and-modulation system is unitarily equivalent with a multi-window Gabor system. As a consequence, frame theoretical results from Gabor analysis can be directly transferred to dilation-and-modulation systems.
Keywords
Cite
@article{arxiv.1912.01416,
title = {A remark on dilation-and-modulation frames for $L^2(\mathbb{R}_+)$},
author = {Jakob Lemvig},
journal= {arXiv preprint arXiv:1912.01416},
year = {2025}
}