Iteration for holomorphic maps of the open unit ball and the generalized upper half-plane of \({\mathbb{C}}^ n\)
type: Item
instance of: scholarly article
title: Iteration for holomorphic maps of the open unit ball and the generalized upper half-plane of \({\mathbb{C}}^ n\)
zbMATH Open document ID: 0587.32008
DOI: 10.1016/0022-247X(84)90249-X
published in: Journal of Mathematical Analysis and Applications
publication date: 1984-01-01T00:00:00Z
review text: The author considers the classical theorem of \textit{J. Wolff} [C. R. Acad. Sci., Paris 182, 918-920 (1926; JFM 52.0309.05); ibid. 183, 500-502 (1926; JFM 52.0309.06)] on iteration of holomorphic functions in the unit disk of \({\mathbb{C}}\). In this paper, the above theorem is extended to the unit ball and the generalized upper half-plane of \({\mathbb{C}}^ n\).
Mathematics Subject Classification ID: 32A30
Mathematics Subject Classification ID: 30D05
Mathematics Subject Classification ID: 32A10
Mathematics Subject Classification ID: 32F45
Mathematics Subject Classification ID: 32M15
zbMATH DE Number: 3941912
zbMATH Keywords: iteration of holomorphic functions in the unit disk of \({\mathbb{C}}\)
zbMATH Keywords: unit ball
zbMATH Keywords: generalized upper half-plane of \({\mathbb{C}}^ n\)
author: Gongning Chen
MaRDI profile type: Publication
cites work: Q5604772
cites work: Iteration of analytic functions of operators
cites work: Q3958740
full work available at URL: 0022-247x(84)90249-x
OpenAlex ID: W2042717991
description: scientific article; zbMATH DE number 3941912