Relationship Between the Bergman and Cauchy-Szeg¨o Ker- nels in the Domains + (n -1) and ℜn I V

DOI10.17516/1997-1397-2020-13-5-559-567OpenAlexW3095229701MaRDI QIDQ5859252

J. Sh. Abdullayev, G. Khudayberganov

Publication date: 16 April 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu862

zbMATH Keywords

Jacobianfuture tubeLie ballclassical domainsShilov's boundaryPoisson's kernelBergman's kernelCauchy-Szegö's kernel

Mathematics Subject Classification ID

Holomorphic functions of several complex variables (32Axx) Complex singularities (32Sxx) Analytic spaces (32Cxx) Several complex variables and analytic spaces (32-XX) Holomorphic mappings and correspondences (32Hxx)

Related Items (4)

Holomorphic continuation into a matrix ball of functions defined on a piece of its skeleton ⋮ Laurent-Hua Luogeng Series with Respect to the Matrix Ball from Space Cn [m × m] ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Several complex variables II. Function theory in classical domains. Complex potential theory. Transl. from the Russian by P.M. Gauthier and J.R. King
• Carleman formula for matrix ball of the third type
• Sur les domaines bornes homogenes de l'espace de \(n\) variables. complexes
• Laplace and Hua Luogeng operators
• On the Szegö and Poisson kernels in the convex domains in \(\mathbb{C}^n\)
• The Poisson integral for generalized half-planes and bounded symmetric domains
• Integral formulas for some matrix domains
• On volumes of matrix ball of third type and generalized Lie balls
• Boundary Morera Theorem for the Matrix Ball of the Third Type
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