Hua operators, Poisson transform and relative discrete series on line bundles over bounded symmetric domains

DOI10.1016/j.jfa.2012.02.012zbMath1245.43004arXiv1105.3806OpenAlexW2093829959MaRDI QIDQ418717

Genkai Zhang, Khalid Koufany

Publication date: 30 May 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3806

zbMATH Keywords

eigenfunctionsinvariant differential operatorsPoisson transformShilov boundarybounded symmetric domainsHua operators

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Harmonic analysis of several complex variables (32A50)

Related Items (5)

Harmonic analysis on line bundles over the exceptional domain E7(−25)/U(1)E6 ⋮ Hilbert series of nearly holomorphic sections on generalized flag manifolds ⋮ \(L^p\)-Poisson integral representations for solutions of the generalized Hua system on line bundles over \(SU (n, n) / S(U(n) \times U(n))\) ⋮ Partial Poisson transforms on \(SU(n, n)/SL(n, \mathbb{C}) \times \mathbb{R}_+^\ast\) ⋮ Poisson Transforms for Line Bundles from the Shilov Boundary to Bounded Symmetric Domains

Cites Work

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