Toeplitz operators and localization operators

DOI10.1090/S0002-9947-08-04547-9zbMath1165.47019MaRDI QIDQ3605854

Miroslav Engliš

Publication date: 25 February 2009

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

zbMATH Keywords

Bergman spaceToeplitz operatorbounded symmetric domainlocalization operatorSegal-Bargmann space

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Coherent states (81R30)

Related Items (19)

\(k\)-Hankel Wigner transform and its applications to the localization operators theory ⋮ On Toeplitz operators and localization operators ⋮ Spectral deviation of concentration operators for the short-time Fourier transform ⋮ Toeplitz Algebras on the Harmonic Fock Space ⋮ Coherent states quantization for generalized Bargmann spaces with formulae for their attached Berezin transforms in terms of the Laplacian on \(\mathbb C^{N }\) ⋮ Bilinear localization operators on modulation spaces ⋮ Unnamed Item ⋮ A Wiener Tauberian theorem for operators and functions ⋮ Toeplitz operators with BMO symbols on the Segal-Bargmann space ⋮ Toeplitz localization operators: spectral functions density ⋮ On accumulated spectrograms ⋮ \(k\)-Hankel Gabor transform on \(\mathbb{R}^d\) and its applications to the reproducing kernel theory ⋮ Polyanalytic Toeplitz operators: isomorphisms, symbolic calculus and approximation of Weyl operators ⋮ Time–frequency analysis associated with the generalized Wigner transform ⋮ Gabor Expansions of Signals: Computational Aspects and Open Questions ⋮ Subexponential decay and regularity estimates for eigenfunctions of localization operators ⋮ Extension of localisation operators to ultradistributional symbols with super-exponential growth ⋮ The range of localization operators and lifting theorems for modulation and Bargmann-Fock spaces ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Wavelet transforms and localization operators
• Localization type Berezin-Toeplitz operators on bounded symmetric domains.
• Toeplitz operators and index theory in several complex variables
• Toeplitz operators and group representations
• The Bargmann transform and windowed Fourier localization
• On the Berezin-Toeplitz calculus
• Toeplitz Operators on the Segal-Bargmann Space
• Time-frequency localization operators: a geometric phase space approach
• Harmonic Analysis in Phase Space. (AM-122)
• Ten Lectures on Wavelets
• Heat Flow and Berezin-Toeplitz Estimates
• Unbounded Toeplitz operators in the Segal-Bargmann space, III
• Toeplitz operators and quantum mechanics
• A Szegö-type theorem for Gabor-Toeplitz localization operators

This page was built for publication: Toeplitz operators and localization operators