Maximal covariance group of Wigner transforms and pseudo-differential operators

DOI10.1090/S0002-9939-2014-12311-2zbMath1304.35795arXiv1307.8185OpenAlexW2963605263MaRDI QIDQ3190206

João Nuno Prata, Nuno Costa Dias, Maurice A. De Gosson

Publication date: 16 September 2014

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

Full work available at URL: https://arxiv.org/abs/1307.8185

zbMATH Keywords

Weyl operatorpseudo-differential operatorsWigner transformsymplectic covariance

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Symplectic manifolds (general theory) (53D05) General topics in linear spectral theory for PDEs (35P05) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

Related Items (6)

Bohmian and quantum phase space distribution expansions and approximations ⋮ A refinement of the Robertson-Schrödinger uncertainty principle and a Hirschman-Shannon inequality for Wigner distributions ⋮ From Weyl to Born-Jordan quantization: the Schrödinger representation revisited ⋮ Almost diagonalization of \(\tau \)-pseudodifferential operators with symbols in Wiener amalgam and modulation spaces ⋮ Almost Diagonalization of Pseudodifferential Operators ⋮ Wigner functions on non-standard symplectic vector spaces

Cites Work

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• Weyl transforms
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• Symplectic covariance properties for Shubin and Born–Jordan pseudo-differential operators
• Symplectic Methods in Harmonic Analysis and in Mathematical Physics
• Harmonic Analysis in Phase Space. (AM-122)
• A Theorem Concerning Fourier Transforms
• On the Algebraic Problem Concerning the Normal Forms of Linear Dynamical Systems

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