Holomorphic applications of nonbounded circular domains

被引：0
|
作者：
Loeb, JJ
机构：
[1] Univ Angers, Dept Math, F-49045 Angers 01, France
[2] Univ Angers, Math Lab, F-49045 Angers, France
来源：
PUBLICACIONS MATEMATIQUES | 2006年 / 50卷 / 01期
关键词：
complete circular domains; self holomorphic map;
D O I：
10.5565/PUBLMAT_50106_08
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give several extensions to unbounded domains of the following classical theorem of H. Cartan: A biholomorphism between two bounded complete circular domains of C-n which fixes the origin is a linear map. In our paper, pseudo-convexity plays a main role. Some precise study is done for the case of dimension two and the case where one of the domains is C-n.
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页码：149 / 165
页数：17
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