Weighted integrals of Wigner representations

DOI10.1007/s11868-010-0018-xzbMath1214.47041OpenAlexW2021521682MaRDI QIDQ619639

Alessandro Oliaro, Paolo Boggiatto, Bui Kien Cuong, Giuseppe De Donno

Publication date: 25 January 2011

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-010-0018-x

zbMATH Keywords

pseudodifferential operatortime-frequency representationWigner representationWigner transformCohen classintegrated Wigner representation

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Linear operators on function spaces (general) (47B38) Pseudodifferential operators (47G30)

Related Items (10)

The angular momentum dilemma and Born-Jordan quantization ⋮ Born-Jordan pseudodifferential calculus, Bopp operators and deformation quantization ⋮ Continuity properties for Born-Jordan operators with symbols in Hörmander classes and modulation spaces ⋮ Preferred quantization rules: Born-Jordan versus Weyl. The pseudo-differential point of view ⋮ Phase spaces, parity operators, and the Born-Jordan distribution ⋮ Born-Jordan pseudodifferential operators and the Dirac correspondence: beyond the Groenewold-van Hove theorem ⋮ From Weyl to Born-Jordan quantization: the Schrödinger representation revisited ⋮ Almost diagonalization of \(\tau \)-pseudodifferential operators with symbols in Wiener amalgam and modulation spaces ⋮ Symplectic covariance properties for Shubin and Born–Jordan pseudo-differential operators ⋮ The Phase Space Formulation of Time-Symmetric Quantum Mechanics

Cites Work

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• Weyl transforms
• Proof of a conjecture on the supports of Wigner distributions
• Foundations of time-frequency analysis
• Uncertainty principle, positivity and \(L^{p}\)-boundedness for generalized spectrograms
• Integral bounds for radar ambiguity functions and Wigner distributions
• A Class of Quadratic Time-frequency Representations Based on the Short-time Fourier Transform
• Time-frequency representations of Wigner type and pseudo-differential operators

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