Balian-Low Theorems in Several Variables
Classical Analysis and ODEs
2020-02-05 v2
Abstract
Recently, Nitzan and Olsen showed that Balian-Low theorems (BLTs) hold for discrete Gabor systems defined on . Here we extend these results to a multivariable setting. Additionally, we show a variety of applications of the Quantitative BLT, proving in particular nonsymmetric BLTs in both the discrete and continuous setting for functions with more than one argument. Finally, in direct analogy of the continuous setting, we show the Quantitative Finite BLT implies the Finite BLT.
Cite
@article{arxiv.1807.03856,
title = {Balian-Low Theorems in Several Variables},
author = {Michael Northington and Josiah Park},
journal= {arXiv preprint arXiv:1807.03856},
year = {2020}
}
Comments
To appear in Approximation Theory 16 conference proceedings volume