Balian-Low type theorems in finite dimensions
Classical Analysis and ODEs
2017-07-21 v1 Functional Analysis
Abstract
We formulate and prove finite dimensional analogs for the classical Balian-Low theorem, and for a quantitative Balian-Low type theorem that, in the case of the real line, we obtained in a previous work. Moreover, we show that these results imply their counter-parts on the real line.
Cite
@article{arxiv.1707.06449,
title = {Balian-Low type theorems in finite dimensions},
author = {Shahaf Nitzan and Jan-Fredrik Olsen},
journal= {arXiv preprint arXiv:1707.06449},
year = {2017}
}
Comments
39 pages, 1 figure