Algebras of Toeplitz operator on the three-dimensional Siegel domain

DOI10.1007/S00020-018-2477-ZOpenAlexW2883587813WikidataQ129559082 ScholiaQ129559082MaRDI QIDQ1790650

Armando Sánchez-Nungaray, Nikolai L. Vasilevski

Publication date: 2 October 2018

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-018-2477-z

zbMATH Keywords

Bergman spaceToeplitz operatorC*-algebraSiegel domain

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bergman spaces of functions in several complex variables (32A36)

Related Items (3)

Algebras generated by Toeplitz operators on the Hardy space over the Siegel domain ⋮ Toeplitz operators acting on true-poly-Bergman type spaces of the two-dimensional Siegel domain: nilpotent symbols ⋮ Toeplitz operators with Lagrangian invariant symbols acting on the poly-Fock space of \(\mathbb{C}^n\)

Cites Work

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• C*-algebra generated by horizontal Toeplitz operators on the Fock space
• Uniformly continuous functions and quantization on the Fock space
• On algebras generated by Toeplitz operators and their representations
• Elliptic pseudo-differential operators - an abstract theory
• Deformation estimates for the Berezin-Toeplitz quantization
• Toeplitz operators on the Fock space: Radial component effects.
• Vertical symbols, Toeplitz operators on weighted Bergman spaces over the upper half-plane and very slowly oscillating functions
• Vertical Toeplitz operators on the upper half-plane and very slowly oscillating functions
• Commutative \(C^*\)-algebras of Toeplitz operators on the unit ball. I: Bargmann-type transforms and spectral representations of Toeplitz operators
• Commutative \(C^{\ast}\)-algebras of Toeplitz operators and quantization on the unit disk
• Heat flow, weighted Bergman spaces, and real analytic Lipschitz approximation
• Analysis on Fock Spaces
• Toeplitz Operators on the Segal-Bargmann Space
• On a Hilbert space of analytic functions and an associated integral transform part I
• Reproducing properties and $L^p$-estimates for Bergman projections in Siegel domains of type II
• Commutative Algebras of Toeplitz Operators on a Siegel Domain Associated with the Nilpotent Group of Its Biholomorphisms
• H² spaces of generalized half-planes
• COVARIANT AND CONTRAVARIANT SYMBOLS OF OPERATORS

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