Matrix parameterized pseudo-differential calculi on modulation spaces

2016/04/05 by Joachim Toft, Toft, Joachim · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1604.01229

openalex publication_date 2016/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a broad matrix parameterized family of pseudo-differential calculi, containing the usual Shubin's family of pseudo-differential calculi, parameterized by real numbers. We show that continuity properties in the framework of modulation space theory, valid for the Shubin's family extend to the broader matrix parameterized family of pseudo-differential calculi.

Cited by

• Convolutions of Orlicz spaces and Orlicz Schatten classes, with applications to Toeplitz operators

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