On the invertibility of "rectangular" bi-infinite matrices and applications in time--frequency analysis

Details On the invertibility of "rectangular" bi-infinite matrices and applications in time--frequency analysis On the invertibility of "rectangular" bi-infinite matrices and applications in time--frequency analysis

2007-05-14

arxiv.org/abs/0705.1911v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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 $p$--frames of time--frequency molecules in modulation spaces and identifiability results for operators with bandlimited Kohn--Nirenberg symbols.

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