Asymptotic expansions of Berezin transforms

DOI10.1512/IUMJ.2000.49.1815zbMath0968.32013OpenAlexW1966382387MaRDI QIDQ4522423

Jonathan Arazy, Bent Orsted

Publication date: 12 September 2001

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2000.49.1815

zbMATH Keywords

asymptotic expansionBergman spaceBerezin transformCartan domainWallach set

Mathematics Subject Classification ID

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

Related Items (6)

Toeplitz quantization and asymptotic expansions: Peter-Weyl decomposition ⋮ Weyl invariant polynomial and deformation quantization on Kähler manifolds ⋮ Toeplitz quantization and asymptotic expansions for real bounded symmetric domains ⋮ Holomorphic retractions and boundary Berezin transforms ⋮ Asymptotic expansions for Toeplitz operators on symmetric spaces of general type ⋮ Covariant quantization: spectral analysis versus deformation theory

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