scientific article; zbMATH DE number 7324921

MaRDI QIDQ4966453

S. G. Myslivets, Aleksandr Mechislavovich Kytmanov

Publication date: 18 March 2021

Full work available at URL: http://mathnet.ru/eng/jsfu268

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Poisson integralholomorphic continuation

Mathematics Subject Classification ID

Functional analysis (46-XX) Several complex variables and analytic spaces (32-XX)

Related Items

Holomorphic Extension of Continuous Functions Along Finite Families of Complex Lines in a Ball ⋮ Holomorphic extension of functions along finite families of complex straight lines in an \(n\)-circular domain ⋮ Multidimensional Boundary Analog of the Hartogs Theorem in Circular Domains ⋮ Functions with the One-dimensional Holomorphic Extension Property

Cites Work

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• 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
• Small families of complex lines for testing holomorphic extendibility
• The boundary values of holomorphic functions of several complex variables

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