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Titlebook: Analysis and Geometry on Complex Homogeneous Domains; Jacques Faraut,Soji Kaneyuki,Guy Roos Textbook 2000 Springer Science+Business Media

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楼主: Obsolescent
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Bergman Kernel and Bergman MetricIn this chapter we consider general domains in ℂ.. The material discussed is easily available in the literature. Still we give here essentially complete proofs, since we can do it in very concisely and since the results will be used later in several instances.
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Symmetric Domains and Symmetric SpacesA domain .is said to be a . if it is bounded and if for every . in . there exists an automorphism .such that .. is involutive ..... and . is an isolated fixed point of ...
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Structure of Symmetric DomainsWe continue with the setup and notations of Chapter III. For each .we set.we also write .. when .= ... We also use the abbreviation.and, similarly, y., e., etc. We set
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Pseudo-Hermitian Symmetric Spaceshe linear isotropy representation of . is irreducible (resp. reducible), then . is called . (resp. .). If . admits a G-invariant complex structure . and a G-invariant pseudo-Hermitian metric (with respect to ., then a . is called .. Simple symmetric spaces were classified infinitesimally by Berger [1].
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Requirements on digital signature schemes,gular cone in g. Then .is a complex Olshanski semi-group. Let .. be an element in the center of g such that Ad(..) has eigenvalues i, 0, -i, and.be the corresponding eigenspace decomposition. We assume that .Let P.... be the analytic subgroups in .with Lie algebras p..p.. The subgroup .normalizes p.
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