Holomorphic Extension of Continuous Functions Along Finite Families of Complex Lines in a Ball

DOI10.17516/1997-1397-2015-8-3-291-302OpenAlexW4229592582MaRDI QIDQ5852917

S. G. Myslivets, Aleksandr Mechislavovich Kytmanov

Publication date: 18 March 2021

Full work available at URL: http://mathnet.ru/eng/jsfu431

zbMATH Keywords

holomorphic extensionPoisson kernelcomplex lines

Mathematics Subject Classification ID

Several complex variables and analytic spaces (32-XX) Functions of a complex variable (30-XX)

Cites Work

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• Analog of a theorem of Forelli for boundary values of holomorphic functions on the unit ball of \(\mathbb C^n\)
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• On families of complex lines sufficient for holomorphic extension
• Maximality of invariant algebras of functions
• Meromorphic extensions from small families of circles and holomorphic extensions from spheres
• Small families of complex lines for testing holomorphic extendibility
• Separate holomorphic extension along lines and holomorphic extension from the sphere to the ball
• An analog of the Hartogs theorem in a ball of
• The boundary values of holomorphic functions of several complex variables

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