Pseudo-differential operators in the generalized Weinstein setting

DOI10.1007/S12215-022-00827-7zbMath1527.32007OpenAlexW4307404084MaRDI QIDQ6054070

Hassen Ben Mohamed, Youssef Bettaibi

Publication date: 24 October 2023

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-022-00827-7

zbMATH Keywords

Sobolev spacespseudo-differential operatorsgeneralized Weinstein operator

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Germs of analytic sets, local parametrization (32B10) Harmonic analysis of several complex variables (32A50)

Cites Work

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• Weinstein-Sobolev spaces of exponential type and applications
• On the Weinstein-Wigner transform and Weinstein-Weyl transform
• Boundedness and compactness of localization operators for Weinstein-Wigner transform
• Generalized Weinstein Sobolev-Gevrey spaces and pseudo-differential operators
• Inversion of Weinstein intertwining operator and its dual using Weinstein wavelets

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