Uniform continuity and quantization on bounded symmetric domains

DOI10.1112/JLMS.12069zbMath1443.47029arXiv1611.09085OpenAlexW2559622307MaRDI QIDQ5371020

Wolfram Bauer, Raffael Hagger, Nikolai L. Vasilevski

Publication date: 24 October 2017

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

Full work available at URL: https://arxiv.org/abs/1611.09085

zbMATH Keywords

Berezin-Toeplitz quantizationsemi-commutatorasymptotic relationweighted Bergman spaces over a bounded symmetric domain

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Bergman spaces of functions in several complex variables (32A36) Quantizations, deformations for selfadjoint operator algebras (46L65) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (6)

Algebras of Toeplitz operators on the \(n\)-dimensional unit ball ⋮ Algebras generated by Toeplitz operators on the unit sphere. II: Non commutative case ⋮ Toeplitz quantization on Fock space ⋮ A product expansion for Toeplitz operators on the Fock space ⋮ Toeplitz operators on pluriharmonic function spaces: deformation quantization and spectral theory ⋮ Berezin-Toeplitz quantization on symplectic manifolds of bounded geometry

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