Moment maps of abelian groups and commuting Toeplitz operators acting on the unit ball

DOI10.1016/J.JFA.2021.109039OpenAlexW3150412718MaRDI QIDQ2022752

Raul Quiroga-Barranco, Armando Sánchez-Nungaray

Publication date: 29 April 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.12448

zbMATH Keywords

Bergman spaceToeplitz operatormoment mapabelian group

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Momentum maps; symplectic reduction (53D20) Bergman spaces of functions in several complex variables (32A36) Abstract harmonic analysis (43-XX) Operator theory (47-XX)

Related Items (5)

Commutative Toeplitz algebras and their Gelfand theory: old and new results ⋮ Translation-invariant operators in reproducing kernel Hilbert spaces ⋮ Weighted Bergman spaces associated with the hyperbolic group ⋮ Spectral theorem approach to commutative \(C^\ast\)-algebras generated by Toeplitz operators on the unit ball: quasi-elliptic related cases ⋮ Commuting Toeplitz operators on Cartan domains of type IV and moment maps

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