Almost diagonalization of ΨDO's over various generalized function spaces

2024/02/28 by Stevan Pilipović, Pilipović, Stevan, Nenad Teofanov +3 · 1 citation
Computer Science · Mathematics · #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2402.18341

openalex publication_date 2024/02/28 · openalex created_date 2024/03/05 · openalex updated_date 2026/07/28

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 Hörmander metrics are reviewed.

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• Sparse Gabor representations of metaplectic operators: controlled exponential decay and Schrödinger confinement

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