On the anti-Wick symbol as a Gelfand-Shilov generalized function

DOI10.1090/proc/14933zbMath1505.47051arXiv1905.09249OpenAlexW2990717201MaRDI QIDQ5111503

Nicolas Lerner, Laurent Amour, J. F. Nourrigat

Publication date: 27 May 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.09249

zbMATH Keywords

pseudodifferential calculusGevrey spacesanti-Wick symbolGelfand-Shilov generalized functionstest function spaces embeddings

Mathematics Subject Classification ID

Topological linear spaces of test functions, distributions and ultradistributions (46F05) Pseudodifferential operators (47G30)

Cites Work

• Coherent states and applications in mathematical physics.
• The analysis of linear partial differential operators. III: Pseudo-differential operators
• Integral formulas for the Weyl and anti-Wick symbols
• Gelfand-Shilov and Gevrey smoothing effect for the spatially inhomogeneous non-cutoff Kac equation
• Gelfand-Shilov smoothing properties of the radially symmetric spatially homogeneous Boltzmann equation without angular cutoff
• Fourier transformation of Sato's hyperfunctions
• Instability of the Cauchy-Kovalevskaya solution for a class of nonlinear systems
• Harmonic Analysis in Phase Space. (AM-122)
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