Some families of complex lines sufficient for holomorphic extension of functions

DOI10.3103/S1066369X11040074zbMath1232.32002OpenAlexW2024488855MaRDI QIDQ647860

S. G. Myslivets, Aleksandr Mechislavovich Kytmanov

Publication date: 21 November 2011

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x11040074

zbMATH Keywords

holomorphic extensionBochner-Martinelli integralMorera condition

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) Holomorphic functions of several complex variables (32A10)

Related Items (1)

On family of complex straight lines sufficient for existence of holomorphic continuation of continuous functions on boundary of domain

Cites Work

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• Propagation of boundary CR foliations and Morera type theorems for manifolds with attached analytic discs
• Boundary Morera theorems for holomorphic functions of several complex variables
• Higher-dimensional boundary analogs of the Morera theorem in problems of analytic continuation of functions
• On a certain boundary analog of Morera's theorem
• On families of complex lines sufficient for holomorphic extension
• Sopra una dimostrazione di R. Fueter per un teorema di Hartogs

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