CR approximation on a nonrigid hypersurface graph in \(\mathbb{C}^n\)
type: Item
instance of: scholarly article
title: CR approximation on a nonrigid hypersurface graph in \(\mathbb{C}^n\)
zbMATH Open document ID: 1068.32023
published in: Pacific Journal of Mathematics
publication date: 2005-02-24T00:00:00Z
review text: Let \(M\) be a smooth real hypersurface of \(\mathbb{C}^{n}\), which is globally presented as a graph. The authors prove that any \(CR\) function on \(M\) can be uniformly approximated by entire functions on \(\mathbb{C}^{n}\) on compact subsets. The above result generalizes earlier works which rely on extra conditions on the defining function for the graph.
reviewed by: Jih-Hsin Cheng
Mathematics Subject Classification ID: 32V40
Mathematics Subject Classification ID: 32V20
zbMATH DE Number: 2138442
zbMATH Keywords: rigid hypersurface
zbMATH Keywords: CR function
zbMATH Keywords: entire function
author: Albert Boggess
author: Roman Dwilewicz
MaRDI profile type: Publication
full work available at URL: pjm.2004.216.201
OpenAlex ID: W1974451284
DOI: 10.2140/PJM.2004.216.201
Recommended article: Q5484150
Recommended article: On Nirenberg's non-embeddable CR structure
Recommended article: Global approximation of CR functions on Bloom-Graham model graphs in ℂⁿ
Recommended article: CR Runge sets on hypersurface graphs
Recommended article: Foliation by graphs of CR mappings and a nonlinear Riemann-Hilbert problem for smoothly bounded domains
Recommended article: CR-structures and Riemannian geometry of hypersurfaces of \({\mathbb{C}}^ n\)
Recommended article: Subaveraging estimates for CR functions on a hypersurface of C n
Recommended article: Q3976243
Recommended article: Q4372500
Recommended article: Algebraic approximation in CR geometry
description: scientific article; zbMATH DE number 2138442