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

摘要

Finite dimensional matrices having more columns than rows have no leftinverses while those having more rows than columns have no right inverses. Wegive generalizations of these simple facts to bi--infinite matrices and usethose to obtain density results for $p$--frames of time--frequency molecules inmodulation spaces and identifiability results for operators with bandlimitedKohn--Nirenberg symbols.