Toeplitz quantization and asymptotic expansions for real bounded symmetric domains

DOI10.1007/S00209-010-0702-9zbMath1226.32010OpenAlexW1999369370MaRDI QIDQ636778

Miroslav Engliš, Harald Upmeier

Publication date: 30 August 2011

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-010-0702-9

zbMATH Keywords

Toeplitz operatorbounded symmetric domainstar productcovariant quantization

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Deformation quantization, star products (53D55) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (6)

Toeplitz operators on the Fock space with quasi-radial symbols ⋮ Toeplitz quantization and asymptotic expansions: Peter-Weyl decomposition ⋮ Helton-Howe trace, Connes-Chern characters and Toeplitz quantization of Bergman spaces ⋮ Commuting Toeplitz operators on bounded symmetric domains and multiplicity-free restrictions of holomorphic discrete series ⋮ A product expansion for Toeplitz operators on the Fock space ⋮ Asymptotic expansions for Toeplitz operators on symmetric spaces of general type

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