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Date: | 2006 |
Abstract: | We give several extensions to unbounded domains of the following classical theorem of H. Cartan: A biholomorphism between two bounded complete circular domains of Cn 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 Cn . |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Subject: | Complete circular domains ; Self holomorphic map |
Published in: | Publicacions matemàtiques, V. 50 n. 1 (2006) p. 149-165, ISSN 2014-4350 |
17 p, 196.2 KB |