Density of Gabor Systems Via the Short Time Fourier Transform
Classical Analysis and ODEs
2020-11-03 v2
Abstract
We apply a new approach to the study of the density of Gabor systems, and obtain a simple and straightforward proof of Ramanathan and Steger's well known result regarding the density of Gabor frames and Gabor Riesz sequences. Moreover, this point of view allows us to extend this result in several directions. The approach we use was first observed by A. Olevskii and the third author in their study of exponential systems, here we develop and simplify it further.
Keywords
Cite
@article{arxiv.1707.01084,
title = {Density of Gabor Systems Via the Short Time Fourier Transform},
author = {Andrew Ahn and William Clark and Shahaf Nitzan and Joseph Sullivan},
journal= {arXiv preprint arXiv:1707.01084},
year = {2020}
}
Comments
J Fourier Anal Appl (2017)