Functions with the One-dimensional Holomorphic Extension Property

DOI10.17516/1997-1397-2019-12-4-439-443OpenAlexW4239924865MaRDI QIDQ5853409

S. G. Myslivets

Publication date: 18 March 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu780

zbMATH Keywords

holomorphic extension

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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• Holomorphic extension of functions along finite families of complex straight lines in an \(n\)-circular domain
• 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
• 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 families of complex lines sufficient for holomorphic extension
• Meromorphic extensions from small families of circles and holomorphic extensions from spheres
• Small families of complex lines for testing holomorphic extendibility
• Multidimensional Integral Representations
• Separate holomorphic extension along lines and holomorphic extension from the sphere to the ball
• An analog of the Hartogs theorem in a ball of
• On functions with one‐dimensional holomorphic extension property in circular domains
• The boundary values of holomorphic functions of several complex variables

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