Holomorphic harmonic functions

DOI10.1134/S1061920808020088zbMath1185.32005OpenAlexW2031743172MaRDI QIDQ1033779

Simon G. Gindikin

Publication date: 10 November 2009

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920808020088

zbMATH Keywords

boundary problemsspherical polynomialscomplex Poisson integralholomorphic harmonic functions on hyperboloids in \({\mathbb C}^n\)homogeneous polynomials on the complex cone in \({\mathbb C}^n\)

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Harmonic analysis on homogeneous spaces (43A85) Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) Spherical harmonics (33C55) Harmonic analysis of several complex variables (32A50)

Cites Work

• Holomorphic horospherical duality ``sphere-cone
• Harmonic analysis on symmetric Stein manifolds from the point of view of complex analysis
• Second Cauchy-Fantappiè formula and Martineau duality
• Unnamed Item

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