Proper holomorphic mappings between real-analytic pseudoconvex domains in \({\mathbb{C}}^ n\)
type: Item
instance of: scholarly article
title: Proper holomorphic mappings between real-analytic pseudoconvex domains in \({\mathbb{C}}^ n\)
zbMATH Open document ID: 0661.32025
DOI: 10.1007/BF01462892
published in: Mathematische Annalen
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164490
review text: The authors provide a ``simple proof'' that a proper holomorphic mapping between pseudoconvex domains D and D' of \({\mathbb{C}}^ n\) with real- analytic boundaries extends to a proper holomorphic map between neighborhoods of the closures of D and D'. Although the authors describe the proof as ``simple'', their arguments are technically rather involved. Heavy use is made of the implicit function theorem and formal power series techniques, as well as, the idea of ``complexification of a real hypersurface'' as developed by S. Webster, to whom the authors give special credit.
Mathematics Subject Classification ID: 32V40
Mathematics Subject Classification ID: 32H35
zbMATH DE Number: 4079880
zbMATH Keywords: extension of proper holomorphic mappings between real-analytic pseudoconvex domains
author: K. Diederich
author: J. E. Fornæss
reviewed by: G. A. Harris
MaRDI profile type: Publication
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OpenAlex ID: W2045331645
description: scientific article; zbMATH DE number 4079880