Tangent discs and extension of CR functions to wedges of \({\mathbb C}^n\)
type: Item
instance of: scholarly article
title: Tangent discs and extension of CR functions to wedges of \({\mathbb C}^n\)
zbMATH Open document ID: 1031.32027
DOI: 10.1007/BF02930857
author: Luca Baracco
author: Giuseppe Zampieri
published in: The Journal of Geometric Analysis
publication date: 2002-08-08T00:00:00Z
review text: The authors consider the problem of propagation of extendability for CR functions. They consider an edge \(N\) of a generic wedge \(V\), contained in a CR submanifold \(M\) of \(\mathbb C^n\). They show that if \(p_0\in N\), \(p_1\in V\) belongs to the boundary of a same analytic disc attached to \(V\cup N\), then any CR function on \(V\) which CR extends at \(p_1\) in a direction normal to \(M\) also CR extends in \(p_0\) to a direction normal to \(N\) and transversal to \(M\). The two directions of the extensions are related by an \(m\times m\)-matrix \(\lambda\) associated to the analytic disc (\(m\) is the CR codimension of \(M\)). As an application, they obtain another proof of \textit{A. Tumanov}'s propagation of the extendability theorem [Contemp. Math. 205, 259-269 (1997; Zbl 0883.32011)].
reviewed by: Mauro Nacinovich
Mathematics Subject Classification ID: 32V25
zbMATH DE Number: 1777192
zbMATH Keywords: analytic discs
zbMATH Keywords: exendability of CR functions
MaRDI profile type: Publication
cites work: Q3671484
cites work: Analytic discs and extension of CR functions
cites work: The Boggess-Polking extension theorem for CR functions on manifolds with corners
cites work: Q4000245
cites work: Holomorphic extension of CR functions
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cites work: Extending CR functions from manifolds with boundaries
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full work available at URL: https://doi.org/10.1007/bf02930857
OpenAlex ID: W2323230272
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description: scientific article; zbMATH DE number 1777192