A quantitative Balian-Low theorem
Classical Analysis and ODEs
2012-05-02 v1 Functional Analysis
Abstract
We study functions generating Gabor Riesz bases on the integer lattice. The classical Balian-Low theorem restricts the simultaneous time and frequency localization of such functions. We obtain a quantitative estimate that extends both this result and other related theorems.
Cite
@article{arxiv.1205.0163,
title = {A quantitative Balian-Low theorem},
author = {Shahaf Nitzan and Jan-Fredrik Olsen},
journal= {arXiv preprint arXiv:1205.0163},
year = {2012}
}
Comments
11 pages