Eigenvalues of \(K\)-invariant Toeplitz operators on bounded symmetric domains

DOI10.1007/s00020-021-02639-3zbMath1487.47051OpenAlexW3161544964MaRDI QIDQ2032321

Harald Upmeier

Publication date: 11 June 2021

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-021-02639-3

zbMATH Keywords

eigenvaluesToeplitz operatorsdimension formulasymmetric domainstransitively

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Differential geometry of symmetric spaces (53C35) Bergman spaces of functions in several complex variables (32A36)

Related Items (2)

\(\mathbb{K}\)-homogeneous tuple of operators on bounded symmetric domains ⋮ Commuting tuple of multiplication operators homogeneous under the unitary group

Cites Work

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• Algèbre de Jordan et ensemble de Wallach. (Jordan algebra and Wallach set)
• Jordan pairs
• The Selberg-Jack symmetric functions
• Homogeneous multiplication operators on bounded symmetric domains.
• Some combinatorial properties of Jack symmetric functions
• Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen
• Function spaces and reproducing kernels on bounded symmetric domains
• Toeplitz Operators on Bounded Symmetric Domains
• Jordan Algebras and Harmonic Analysis on Symmetric Spaces
• QUANTIZATION IN COMPLEX SYMMETRIC SPACES

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