Lp-Poisson integral representations of solutions of the Hua system on the Lie ball in ℂn

DOI10.1080/10652460600935247zbMath1117.32005OpenAlexW4246728646MaRDI QIDQ5297924

Fouzia El Wassouli

Publication date: 16 July 2007

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

Full work available at URL: https://doi.org/10.1080/10652460600935247

zbMATH Keywords

hyperfunctionsShilov boundaryHua operator

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) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Hyperfunctions (32A45) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Spherical harmonics (33C55) Other generalizations of function theory of one complex variable (32A30) 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
• \(L^p\)-Poisson integral representations of solutions of the Hua system on Hermitian symmetric spaces of tube type
• Function spaces and reproducing kernels on bounded symmetric domains
• L²-Poisson integral representations of solutions of the Hua system on the ball in ℂ²