Real Berezin Transform and Asymptotic Expansion for Symmetric Spaces of Compact and Non-compact Type

DOI10.1007/978-3-0348-0346-5_6zbMath1247.32023OpenAlexW185306691MaRDI QIDQ2902848

Harald Upmeier, Miroslav Engliš

Publication date: 22 August 2012

Published in: Recent Progress in Operator Theory and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0346-5_6

zbMATH Keywords

Berezin transformsymmetric domainsymmetric space of compact type

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Differential geometry of symmetric spaces (53C35) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

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Dixmier trace for Toeplitz operators on symmetric domains ⋮ Toeplitz quantization and asymptotic expansions: Peter-Weyl decomposition ⋮ Reproducing kernel functions and asymptotic expansions on Jordan-Kepler manifolds ⋮ Asymptotic expansions for Toeplitz operators on symmetric spaces of general type

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