A Balian-Low Theorem for Subspaces
Functional Analysis
2018-06-14 v2
Abstract
We extend the Balian-Low theorem to Gabor subspaces of by involving the concept of additional time-frequency shift invariance. We prove that if a Gabor system on a lattice of rational density is a Riesz sequence generating a subspace which is invariant under an additional time-frequency shift, then its generator cannot decay fast simultaneously in time and frequency.
Cite
@article{arxiv.1801.09237,
title = {A Balian-Low Theorem for Subspaces},
author = {A. Caragea and D. Lee and G. E. Pfander and F. Philipp},
journal= {arXiv preprint arXiv:1801.09237},
year = {2018}
}
Comments
19 pages