Hilbert modules and complex analytic fibre spaces

DOI10.4171/RLM/949zbMath1487.32119OpenAlexW4200275120MaRDI QIDQ2075661

Harald Upmeier

Publication date: 15 February 2022

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rlm/949

zbMATH Keywords

flag manifoldHilbert modulebounded symmetric domainJordan triplecomplex-analytic fibre space

Mathematics Subject Classification ID

Determinantal varieties (14M12) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) 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) Associated manifolds of Jordan algebras (17C36)

Cites Work

• Toeplitz \(C^*\)-algebras on bounded symmetric domains
• Homogeneous multiplication operators on bounded symmetric domains.
• Reproducing kernel functions and asymptotic expansions on Jordan-Kepler manifolds
• Some combinatorial properties of Jack symmetric functions
• Lineare Faserräume und kohärente Modulgarben über komplexen Räumen
• Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen
• Function spaces and reproducing kernels on bounded symmetric domains
• Unitary invariants for Hilbert modules of finite rank
• Toeplitz Operators on Bounded Symmetric Domains
• Jordan Algebras and Harmonic Analysis on Symmetric Spaces
• A classification of homogeneous operators in the Cowen-Douglas class
• Complex geometry and operator theory
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