Spectral Invariance of Quasi-Banach Algebras for Matrices and Pseudodifferential Operators

Abstract

In the paper we extend the spectral invariance of pseudodifferential operators acting on (non-weighted) classical modulation spaces to allow the Lebesgue exponents to be smaller than one. These spaces occur naturally in approximation theory and data compression problems.

arXiv comment27 pages. This is the second version. Several changes are performed compared to the first version