On a boundary analog of the Forelli theorem

DOI10.1134/S0037446613050091zbMath1284.32003OpenAlexW1984149254MaRDI QIDQ392731

Aleksandr Mechislavovich Kytmanov, Vyacheslav Igor'evich Kuzovatov

Publication date: 15 January 2014

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446613050091

zbMATH Keywords

holomorphic extensioncomplex linesreal-analytic function

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15)

Cites Work

• Unnamed Item
• Analog of a theorem of Forelli for boundary values of holomorphic functions on the unit ball of \(\mathbb C^n\)
• Minimal dimension families of complex lines sufficient for holomorphic extension of functions
• Holomorphic extension from the sphere to the ball
• Boundary analogues of Hartog's theorem
• A boundary uniqueness theorem for holomorphic functions of several complex variables
• Higher-dimensional boundary analogs of the Morera theorem in problems of analytic continuation of functions
• 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
• The boundary values of holomorphic functions of several complex variables

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