Thin discs and a Morera theorem for CR functions
type: Item
instance of: scholarly article
title: Thin discs and a Morera theorem for CR functions
zbMATH Open document ID: 0940.32016
DOI: 10.1007/PL00004343
author: Alexander Tumanov
published in: Mathematische Zeitschrift
publication date: 1997-12-10T00:00:00Z
review text: The author proves a version of the Morera theorem for continuous functions on a real submanifold \(M\) of higher codimension in \(\mathbb{C}^n\). Precisely, assume that for all analytic discs \(\Delta\) attached to \(M\) (i.e. \(\partial\Delta \subset M)f|_{\partial \Delta}\) extends holomorphically inside \(\Delta\). Then \(f\) is CR on \(M\).
Mathematics Subject Classification ID: 32V40
zbMATH DE Number: 1096022
zbMATH Keywords: CR functions
zbMATH Keywords: Morera theorem
reviewed by: Giuseppe Tomassini
MaRDI profile type: Publication
full work available at URL: pl00004343
OpenAlex ID: W2094528846
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description: scientific article; zbMATH DE number 1096022