Invariant Operators and the Berezin Transform on Cartan Domains

DOI10.1002/mana.19981950105zbMath0924.32023OpenAlexW1970020354MaRDI QIDQ4224702

Miroslav Engliš

Publication date: 7 November 1999

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

Full work available at URL: https://doi.org/10.1002/mana.19981950105

zbMATH Keywords

invariant differential operatorsvon Neumann algebrasBerezin transformCartan domains

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Harmonic analysis and spherical functions (43A90) Asymptotic representations in the complex plane (30E15) Linear operators in ({}^*)-algebras (47C10)

Related Items (3)

Weyl invariant polynomial and deformation quantization on Kähler manifolds ⋮ Berezin transforms and Laplace-Beltrami operators on homogeneous Siegel domains ⋮ Higher Laplace-Beltrami operators on bounded symmetric domains

Cites Work

• Asymptotic expansions of Eisenstein integrals and Fourier transform on symmetric spaces
• \(L^ q\)-estimates of spherical functions and an invariant mean-value property
• The Berezin transform and invariant differential operators
• Function spaces and reproducing kernels on bounded symmetric domains
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