Resumen de Applications holomorphes de domaines disués non bornés

Jean-Jacques Loeb

• We give several extensions to unbounded domains of Ihe fnllowing classical theorem of H. Cartan: A biholomorphism between two bounded complete circular domalos of C~ which fixes the origin is a linear map. In nur paper, pseudo-convexity plays a main role. Sorne precise study is done for the case of dimension two and the case where nne of the domalos is C0