Toeplitz operators, \(\mathbb{T}^m\)-invariance and quasi-homogeneous symbols

DOI10.1007/s00020-021-02673-1OpenAlexW3201868186MaRDI QIDQ2244731

Raul Quiroga-Barranco

Publication date: 12 November 2021

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

Full work available at URL: https://arxiv.org/abs/2106.01980

zbMATH Keywords

unitary representationsweighted Bergman spacesToeplitz operatorsunit ballcompact groups

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Unitary representations of locally compact groups (22D10) Bergman spaces of functions in several complex variables (32A36) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (2)

Commutative Toeplitz algebras and their Gelfand theory: old and new results ⋮ Spectral theorem approach to commutative \(C^\ast\)-algebras generated by Toeplitz operators on the unit ball: quasi-elliptic related cases

Cites Work

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• Separately radial and radial Toeplitz operators on the unit ball and representation theory
• Eigenvalue characterization of radial operators on weighted Bergman spaces over the unit ball
• Radial Toeplitz operators on the Fock space and square-root-slowly oscillating sequences
• Finite rank commutators and semicommutators of quasihomogeneous Toeplitz operators
• Quasi-radial quasi-homogeneous symbols and commutative Banach algebras of Toeplitz operators
• Radial Toeplitz operators on the unit ball and slowly oscillating sequences
• On the structure of a commutative Banach algebra generated by Toeplitz operators with quasi-radial quasi-homogeneous symbols
• On commutative \(C^\ast \)-algebras generated by Toeplitz operators with \(\mathbb{T}^m \)-invariant symbols
• Banach algebras generated by Toeplitz operators with parabolic quasi-radial quasi-homogeneous symbols
• Commuting Toeplitz operators on bounded symmetric domains and multiplicity-free restrictions of holomorphic discrete series
• Commuting Toeplitz operators with pluriharmonic symbols on the Fock space
• Toeplitz operators with quasi-homogeneuos quasi-radial symbols on some weakly pseudoconvex domains
• Commutants of separately radial Toeplitz operators in several variables
• On the structure of commutative Banach algebras generated by Toeplitz operators on the unit ball. Quasi-elliptic case. I: Generating subalgebras.
• Commutative \(C^*\)-algebras of Toeplitz operators on the unit ball. I: Bargmann-type transforms and spectral representations of Toeplitz operators
• Commutative \(C^*\)-algebras of Toeplitz operators on the unit ball. II: Geometry of the level sets of symbols
• The eigenvalues of limits of radial Toeplitz operators
• Symmetry, Representations, and Invariants
• Commuting Toeplitz operators on the polydisk
• On Toeplitz Operators with Quasi-radial and Pseudo-homogeneous Symbols
• The Berezin transform and radial operators
• Commutants of analytic Toeplitz operators on the Bergman space
• Commutants of Toeplitz operators with separately radial polynomial symbols

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