Counting function estimates for coherent frames and Riesz sequences
Functional Analysis
2024-12-13 v2 Classical Analysis and ODEs
Abstract
We prove various estimates for the asymptotics of counting functions associated to point sets of coherent frames and Riesz sequences. The obtained results recover the necessary density conditions for coherent frames and Riesz sequences for general unimodular amenable groups, while providing more precise estimates under additional localization conditions on the coherent system for groups of polynomial growth.
Cite
@article{arxiv.2407.13540,
title = {Counting function estimates for coherent frames and Riesz sequences},
author = {Effie Papageorgiou and Jordy Timo van Velthoven},
journal= {arXiv preprint arXiv:2407.13540},
year = {2024}
}