On Riesz duals for the Gabor system on LCA groups
Functional Analysis
2023-10-13 v2
Abstract
In this paper, we analyse the circumstances in which the adjoint Gabor system is an R-dual of a given Gabor frame in the context of separable uniform time-frequency lattices in locally compact abelian groups. In this regard, we also prove a necessary condition for a Gabor Bessel sequence in this setting to be complete.
Cite
@article{arxiv.2307.09895,
title = {On Riesz duals for the Gabor system on LCA groups},
author = {S. Arati and P. Devaraj},
journal= {arXiv preprint arXiv:2307.09895},
year = {2023}
}