Applications holomorphes de domaines disqués non bornés.

Jean-Jacques Loeb

Publicacions Matemàtiques (2006)

  • Volume: 50, Issue: 1, page 149-165
  • ISSN: 0214-1493

Abstract

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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.

How to cite

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Loeb, Jean-Jacques. "Applications holomorphes de domaines disqués non bornés.." Publicacions Matemàtiques 50.1 (2006): 149-165. <http://eudml.org/doc/41545>.

@article{Loeb2006,
author = {Loeb, Jean-Jacques},
journal = {Publicacions Matemàtiques},
keywords = {Funciones de varias variables complejas; Aplicación análítica; Dominios no acotados; Dominios pseudoconvexos; complete circular domains; pseudo-convex domains; self holomorphic map},
language = {fre},
number = {1},
pages = {149-165},
title = {Applications holomorphes de domaines disqués non bornés.},
url = {http://eudml.org/doc/41545},
volume = {50},
year = {2006},
}

TY - JOUR
AU - Loeb, Jean-Jacques
TI - Applications holomorphes de domaines disqués non bornés.
JO - Publicacions Matemàtiques
PY - 2006
VL - 50
IS - 1
SP - 149
EP - 165
LA - fre
KW - Funciones de varias variables complejas; Aplicación análítica; Dominios no acotados; Dominios pseudoconvexos; complete circular domains; pseudo-convex domains; self holomorphic map
UR - http://eudml.org/doc/41545
ER -

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