An analog of the Hartogs theorem in a ball of

DOI10.1002/mana.201300049zbMath1316.32007OpenAlexW2129672934MaRDI QIDQ5177982

S. G. Myslivets, Aleksandr Mechislavovich Kytmanov

Publication date: 9 March 2015

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201300049

zbMATH Keywords

holomorphic extensionintegral representationball in \(\mathbb C^n\)

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (7)

Holomorphic Extension of Continuous Functions Along Finite Families of Complex Lines in a Ball ⋮ On the Multidimensional Boundary Analogue of the Morera Theorem ⋮ Holomorphic extension of functions along finite families of complex straight lines in an \(n\)-circular domain ⋮ Boundary behavior of functions representable by weighted Koppelman type integral and related Hartogs phenomenon ⋮ The \(L^p\) CR Hartogs separate analyticity theorem for convex domains ⋮ Multidimensional Boundary Analog of the Hartogs Theorem in Circular Domains ⋮ Functions with the One-dimensional Holomorphic Extension Property

Cites Work

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• 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
• The boundary values of holomorphic functions of several complex variables

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