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.
@article{urn:eudml:doc:41545,
title = {Applications holomorphes de domaines disqu\'es non born\'es.},
journal = {Publicacions Matem\`atiques},
volume = {50},
year = {2006},
pages = {149-165},
zbl = {1129.32001},
language = {fr},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41545}
}
Loeb, Jean-Jacques. Applications holomorphes de domaines disqués non bornés.. Publicacions Matemàtiques, Tome 50 (2006) pp. 149-165. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41545/