Hilbert Bundles and Flat Connexions over Hermitian Symmetric Domains

DOI10.1007/978-3-0346-0548-9_15zbMath1270.46021OpenAlexW69671918MaRDI QIDQ2914784

Harald Upmeier

Publication date: 21 September 2012

Published in: Recent Trends in Toeplitz and Pseudodifferential Operators (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0346-0548-9_15

zbMATH Keywords

Jordan algebrasFock spacessymmetric domainsconnexions

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

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