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

DOI10.13108/2020-12-3-44zbMath1474.32002OpenAlexW3108821334MaRDI QIDQ5138432

S. G. Myslivets, Aleksandr Mechislavovich Kytmanov

Publication date: 3 December 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa526

zbMATH Keywords

Bochner-Martinelli kernelholomorphic continuationmorera boundary 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 the Multidimensional Boundary Analogue of the Morera Theorem

Cites Work

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• Some families of complex lines sufficient for holomorphic extension of functions
• A boundary Morera theorem
• Boundary Morera theorems for holomorphic functions of several complex variables
• Local boundary Morera theorems
• On families of complex lines sufficient for holomorphic extension
• Maximality of invariant algebras of functions
• Multidimensional Integral Representations
• A Boundary Analogue of Morera's Theorem in the Unit Ball of C n

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