Boundary value problems for the Shilov boundary of a bounded symmetric domain of tube type

DOI10.1006/jfan.1996.0101zbMath0857.43008OpenAlexW2020948814MaRDI QIDQ1923695

Nobukazu Shimeno

Publication date: 3 March 1997

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

Full work available at URL: https://doi.org/10.1006/jfan.1996.0101

zbMATH Keywords

differential equationsPoisson transformShilov boundaryRiemannian symmetric spaceHelgason's conjectureHua equations

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65)

Related Items (13)

L^p-Poisson integral representations of solutions of the Hua system on the Lie ball in ℂⁿ ⋮ Characterization of the Poisson integrals for the non-tube bounded symmetric domains ⋮ Hua operators, Poisson transform and relative discrete series on line bundles over bounded symmetric domains ⋮ \(L^{2}\)-Poisson integral representations of solutions of the Hua system on the bounded symmetric domain \(SU(n,n)\)/\(S(U(n){\times}U(n))\) ⋮ Boundary value problems for various boundaries of Hermitian symmetric spaces ⋮ \(L^p\)-Poisson integral representations of solutions of the Hua system on Hermitian symmetric spaces of tube type ⋮ On the Faraut-Koranyi hypergeometric functions in rank two. ⋮ Hua operators and Poisson transform for bounded symmetric domains ⋮ Fatou's theorems and a generalized Poisson transform of anL^p-function over the Shilov boundary of the bounded symmetric domain of type I ⋮ L²-Poisson integral representations of solutions of the Hua system on the ball in ℂ² ⋮ The generalized spherical function for odd-dimensional bounded symmetric domains of type IV ⋮ Poisson Transforms for Line Bundles from the Shilov Boundary to Bounded Symmetric Domains ⋮ Boundary Value Problems on Riemannian Symmetric Spaces of the Noncompact Type

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