Fatou's theorems and a generalized Poisson transform of anLp-function over the Shilov boundary of the bounded symmetric domain of type I
DOI10.1080/17476930701711472zbMath1135.32007OpenAlexW2069954255MaRDI QIDQ5451475
Publication date: 27 March 2008
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476930701711472
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) Harmonic analysis and almost periodicity in probabilistic number theory (11K70) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Hypergeometric functions associated with root systems (33C67) Elliptic integrals as hypergeometric functions (33C75)
Cites Work
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- \(L^{2}\)-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
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