Anti-Wick quantization with symbols in $L^p$ spaces

DOI10.1090/S0002-9939-02-06348-7zbMath1048.47038MaRDI QIDQ4330594

Elena Cordero, Paolo Boggiatto

Publication date: 13 May 2002

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

zbMATH Keywords

pseudo-differential operatorstrace class operatorHilbert-Schmidt operatoranti-Wick operator

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential operators (47G30)

Related Items (9)

Localized frames and compactness ⋮ Invertibility of positive Toeplitz operators and associated uncertainty principle ⋮ Time-frequency partitions and characterizations of modulation spaces with localization operators ⋮ Dixmier trace and the Fock space ⋮ Frames adapted to a phase-space cover ⋮ \(k\)-Hankel Gabor transform and its applications to the theory of localization operators ⋮ \(k\)-Hankel Gabor transform on \(\mathbb{R}^d\) and its applications to the reproducing kernel theory ⋮ Time-frequency analysis associated with the \(k\)-Hankel Gabor transform on \(\mathbb{R}^d\) ⋮ Gabor Expansions of Signals: Computational Aspects and Open Questions

Cites Work

• Autour de l'approximation semi-classique. (Around semiclassical approximation)
• Weyl transforms
• On the boundedness of pseudo-differential operators
• Harmonic Analysis in Phase Space. (AM-122)
• Ten Lectures on Wavelets
• The Weyl Transform and L p Functions on Phase Space
• A Class of Bounded Pseudo-Differential Operators
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