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arXiv · 2211.13934

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

Karlheinz Gröchenig·Christine Pfeuffer·Joachim Toft
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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.

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Karlheinz Gröchenig, Christine Pfeuffer, Joachim Toft. 2022-11-25. Spectral Invariance of Quasi-Banach Algebras for Matrices and Pseudodifferential Operators. https://arxiv.org/abs/2211.13934

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