Overcompleteness of coherent frames for unimodular amenable groups
Functional Analysis
2023-03-01 v2
Abstract
This paper concerns the overcompleteness of coherent frames for unimodular amenable groups. It is shown that for coherent frames associated with a localized vector a set of positive Beurling density can be removed yet still leave a frame. The obtained results extend various theorems of [J. Fourier Anal. Appl., 12(3):307-344, 2006] to frames with non-Abelian index sets.
Keywords
Cite
@article{arxiv.2209.03719,
title = {Overcompleteness of coherent frames for unimodular amenable groups},
author = {Martijn Caspers and Jordy Timo van Velthoven},
journal= {arXiv preprint arXiv:2209.03719},
year = {2023}
}