L2-Poisson integral representations of solutions of the Hua system on the ball in ℂ2

DOI10.1080/10652460500422395zbMath1094.32001OpenAlexW2057377215MaRDI QIDQ5478788

Fouzia El Wassouli

Publication date: 13 July 2006

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460500422395

zbMATH Keywords

Shilov boundaryLie ballHua operatorHyperfunctions

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Hyperfunctions (32A45) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Spherical harmonics (33C55) Hypergeometric functions associated with root systems (33C67)

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Cites Work

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• Les équations de Hua d'un domaine borné symétrique du type tube. (The equations of Hua for a bounded symmetric domain of tube type)
• \(L^{2}\)-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 the Shilov boundary of a bounded symmetric domain of tube type
• Function spaces and reproducing kernels on bounded symmetric domains