Commutative Algebras of Toeplitz Operators on a Siegel Domain Associated with the Nilpotent Group of Its Biholomorphisms

DOI10.1007/978-3-319-47079-5_13zbMath1381.47024OpenAlexW2591131512MaRDI QIDQ5274792

Armando Sánchez-Nungaray, Nikolai L. Vasilevski

Publication date: 6 July 2017

Published in: Recent Trends in Operator Theory and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-47079-5_13

zbMATH Keywords

Bergman spacesToeplitz operatorscommutative \(C^{\ast}\)-algebras

Mathematics Subject Classification ID

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

Related Items (5)

Commutative algebras generated by Toeplitz operators on the unit sphere ⋮ Toeplitz Operators with $$\mathbb {T}_q^m$$ -Invariant Symbols on Some Weakly Pseudoconvex Domains ⋮ Algebras generated by Toeplitz operators on the Hardy space over the Siegel domain ⋮ Moment maps of abelian groups and commuting Toeplitz operators acting on the unit ball ⋮ Algebras of Toeplitz operator on the three-dimensional Siegel domain

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