Minimal dimension families of complex lines sufficient for holomorphic extension of functions

DOI10.1134/S0037446611020091zbMath1235.32008MaRDI QIDQ546216

S. G. Myslivets, Aleksandr Mechislavovich Kytmanov, Vyacheslav Igor'evich Kuzovatov

Publication date: 24 June 2011

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

holomorphic extensionharmonic functionBochner-Martinelli integral

Mathematics Subject Classification ID

Analytic continuation (32D99) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (max. 100)

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 ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On a boundary analog of the Forelli theorem ⋮ An analog of the Hartogs theorem in a ball of ⋮ Multidimensional Boundary Analog of the Hartogs Theorem in Circular Domains ⋮ Functions with the One-dimensional Holomorphic Extension Property

Cites Work

• Unnamed Item
• Unnamed Item
• 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
• A boundary uniqueness theorem 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
• Maximality of invariant algebras of functions
• Small families of complex lines for testing holomorphic extendibility
• The boundary values of holomorphic functions of several complex variables

This page was built for publication: Minimal dimension families of complex lines sufficient for holomorphic extension of functions