On Toeplitz operators and localization operators

DOI10.1090/proc/12211zbMath1321.47055OpenAlexW1944107795MaRDI QIDQ2944782

Luís Daniel Abreu, Nelson Faustino

Publication date: 8 September 2015

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

Full work available at URL: https://doi.org/10.1090/proc/12211

zbMATH Keywords

Toeplitz operatorslocalization operatorspolyanalytic Fock spaces

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Coherent states (81R30) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Bergman spaces and Fock spaces (30H20)

Related Items (7)

Cross-Toeplitz operators on the Fock-Segal-Bargmann spaces and two-sided convolutions on the Heisenberg group ⋮ Separately Radial Fock-Carleson Type Measures for Derivatives of Order k ⋮ Unnamed Item ⋮ A Wiener Tauberian theorem for operators and functions ⋮ On the representation and the uniform polynomial approximation of polyanalytic functions of Gevrey type on the unit disk ⋮ Radial Toeplitz operators on the Fock space and square-root-slowly oscillating sequences ⋮ Polyanalytic Toeplitz operators: isomorphisms, symbolic calculus and approximation of Weyl operators

Cites Work

• The polyanalytic Ginibre ensembles
• Sampling and interpolation in Bargmann-Fock spaces of polyanalytic functions
• On a new Segal algebra
• Time-frequency analysis of localization operators.
• The Bargmann transform and windowed Fourier localization
• Toeplitz operators and localization operators
• Time-frequency localization operators: a geometric phase space approach
• Harmonic Analysis in Phase Space. (AM-122)
• Banach Gabor frames with Hermite functions: polyanalytic spaces from the Heisenberg group
• Function Spaces of Polyanalytic Functions
• A Szegö-type theorem for Gabor-Toeplitz localization operators
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