Laurent-Hua Luogeng Series with Respect to the Matrix Ball from Space Cn [m × m]

DOI10.17516/1997-1397-2021-14-5-589-598zbMath1495.32001OpenAlexW4206269199MaRDI QIDQ5071390

G. Khudayberganov, J. Sh. Abdullayev

Publication date: 21 April 2022

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

Full work available at URL: http://mathnet.ru/eng/jsfu944

zbMATH Keywords

holomorphic functionLaurent seriesShilov boundarymatrix ballBochner-Hua Loo-Keng integral

Mathematics Subject Classification ID

Power series, series of functions of several complex variables (32A05)

Cites Work

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• Sur les domaines bornes homogenes de l'espace de \(n\) variables. complexes
• Laplace and Hua Luogeng operators
• Regularity of mappings into classical domains
• On the Szegö and Poisson kernels in the convex domains in \(\mathbb{C}^n\)
• Integral formulas for some matrix domains
• Bergman-Harmonic Functions on Classical Domains
• Holomorphic continuation into a matrix ball of functions defined on a piece of its skeleton
• On volumes of matrix ball of third type and generalized Lie balls
• Relationship Between the Bergman and Cauchy-Szeg¨o Ker- nels in the Domains + (n -1) and ℜn I V
• Note on automorphic functions of several variables