Morera conditions along real planes and a characterization of CR functions on boundaries of domains in \(\mathbb{C}^ N\)
type: Item
instance of: scholarly article
title: Morera conditions along real planes and a characterization of CR functions on boundaries of domains in \(\mathbb{C}^ N\)
zbMATH Open document ID: 0806.32008
DOI: 10.1007/BF02572317
author: Darja Govekar
published in: Mathematische Zeitschrift
publication date: 1994-12-21T00:00:00Z
full work available at URL: https://eudml.org/doc/174646
review text: The paper deals with the problem whether a property of being a CR function on boundary \(bD\) of a bounded domain \(D \subset \mathbb{C}^ N\) can be described by Morera conditions on integrals against the forms with constant coefficients over intersections of the boundary \(bD\) with real affine planes (specially with real affine hyperplanes) in \(\mathbb{C}^ N\) that meet \(bD\) transversely. Theorems represent a generalization of some earlier results concerning criteria for CR functions with respect to complex affine planes in \(\mathbb{C}^ N\) that meet \(bD\) transversely in the paper by [\textit{J. Globevnik} and \textit{E. L. Stout}, Duke Math. J. 64, 571-615 (1991; Zbl 0760.32002)].
Mathematics Subject Classification ID: 32V05
zbMATH DE Number: 704913
zbMATH Keywords: CR functions
MaRDI profile type: Publication
cites work: Q5558469
cites work: Q4037141
cites work: Q4134602
cites work: Boundary Morera theorems for holomorphic functions of several complex variables
cites work: The Radon transform
cites work: Continuous Boundary Values of Analytic Functions of Several Complex Variables
description: scientific article; zbMATH DE number 704913