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arXiv · 2402.18341

Almost diagonalization of $\Psi$DO's over various generalized function spaces

Stevan Pilipović·Nenad Teofanov·Filip Tomić
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Abstract

Inductive and projective type sequence spaces of sub- and super-exponential growth, and the corresponding inductive and projective limits of modulation spaces are considered as a framework for almost diagonalization of pseudo-differential operators. Moreover, recent results of the first author and B. Prangoski related to the almost diagonalization of pseudo-differential operators in the context of H\"ormander metrics are reviewed.

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Stevan Pilipović, Nenad Teofanov, Filip Tomić. 2024-02-28. Almost diagonalization of $\Psi$DO's over various generalized function spaces. https://arxiv.org/abs/2402.18341

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