On the invertibility of "rectangular" bi-infinite matrices and applications in time--frequency analysis
Classical Analysis and ODEs
2007-05-23 v1 Functional Analysis
Abstract
Finite dimensional matrices having more columns than rows have no left inverses while those having more rows than columns have no right inverses. We give generalizations of these simple facts to bi--infinite matrices and use those to obtain density results for --frames of time--frequency molecules in modulation spaces and identifiability results for operators with bandlimited Kohn--Nirenberg symbols.
Keywords
Cite
@article{arxiv.0705.1911,
title = {On the invertibility of "rectangular" bi-infinite matrices and applications in time--frequency analysis},
author = {Goetz E. Pfander},
journal= {arXiv preprint arXiv:0705.1911},
year = {2007}
}