On the Multidimensional Boundary Analogue of the Morera Theorem

DOI10.17516/1997-1397-2022-15-1-29-45OpenAlexW4226189335MaRDI QIDQ5068365

Publication date: 6 April 2022

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

Full work available at URL: http://mathnet.ru/eng/jsfu973

zbMATH Keywords

multidimensional variants of Morera theorem one-dimensional holomorphic extension property

Mathematics Subject Classification ID

Holomorphic functions of several complex variables (32Axx) Several complex variables and analytic spaces (32-XX) Analytic continuation (32Dxx)

Cites Work

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Analog of a theorem of Forelli for boundary values of holomorphic functions on the unit ball of \(\mathbb C^n\)
Holomorphic extension from the sphere to the ball
Holomorphic extension of integrable CR-functions from part of the boundary of the domain
Boundary analogues of Hartog's theorem
Propagation of boundary CR foliations and Morera type theorems for manifolds with attached analytic discs
Holomorphic extension from spheres in \({\mathbb{C}}^ n\)
Several complex variables I. Introduction to complex analysis. Transl. from the Russian by P. M. Gauthier
Boundary Morera theorems for holomorphic functions of several complex variables
On boundaries of complex analytic varieties. I
Moebius-invariant function spaces on balls and spheres
On a boundary Morera theorem for classical domains
On holomorphic extension of hyperfunctions
Morera conditions along real planes and a characterization of CR functions on boundaries of domains in \(\mathbb{C}^ N\)
On holomorphy of functions representable by the logarithmic residue formula
Higher-dimensional boundary analogs of the Morera theorem in problems of analytic continuation of functions
On a certain boundary analog of Morera's theorem
On families of complex lines sufficient for holomorphic extension
Maximality of invariant algebras of functions
Analytic and meromorphic continuation by means of Green's formula
Meromorphic extensions from small families of circles and holomorphic extensions from spheres
Small families of complex lines for testing holomorphic extendibility
A Boundary Analogue of Morera's Theorem in the Unit Ball of C n
HOLOMORPHIC EXTENSION OF CR-FUNCTIONS WITH SINGULARITIES ON A HYPERSURFACE
On holomorphic extensions from spheres in ℂ²
Separate holomorphic extension along lines and holomorphic extension from the sphere to the ball
On functions with the boundary Morera property in domains with piecewise-smooth boundary
On family of complex straight lines sufficient for existence of holomorphic continuation of continuous functions on boundary of domain
An analog of the Hartogs theorem in a ball of
On functions with one‐dimensional holomorphic extension property in circular domains
The Cauchy integral for differential forms
The boundary values of holomorphic functions of several complex variables

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