Poisson Transforms for Line Bundles from the Shilov Boundary to Bounded Symmetric Domains

DOI10.1007/978-1-4614-7193-6_7zbMath1284.32013OpenAlexW174268368MaRDI QIDQ2871397

Adam Korányi

Publication date: 23 January 2014

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-7193-6_7

zbMATH Keywords

bounded symmetric domainPoisson transform

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (3)

Harmonic analysis on line bundles over the exceptional domain E7(−25)/U(1)E6 ⋮ \(L^p\)-Poisson integral representations for solutions of the generalized Hua system on line bundles over \(SU (n, n) / S(U(n) \times U(n))\) ⋮ Homogeneous Hermitian holomorphic vector bundles and the Cowen-Douglas class over bounded symmetric domains

Cites Work

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• The Poisson integral for generalized half-planes and bounded symmetric domains
• Function spaces and reproducing kernels on bounded symmetric domains
• One-dimensional $K$-types in finite dimensional representations of semisimple Lie groups: A generalization of Helgason's theorem.
• Compactifications of Symmetric Spaces
• Boundary Behavior of Poisson Integrals on Symmetric Spaces

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