Anwendungen des Satzes von Picard.
Klaus Langmann (1984)
Mathematische Annalen
Jean-Jacques Loeb (2006)
Publicacions Matemàtiques
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.
Hyman BASS (1980/1981)
Seminaire de Théorie des Nombres de Bordeaux
Avner Dor (1993)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Francine Meylan (2006)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Let be a complex Banach space. Recall that admits afinite-dimensional Schauder decompositionif there exists a sequence of finite-dimensional subspaces of such that every has a unique representation of the form with for every The finite-dimensional Schauder decomposition is said to beunconditionalif, for every the series which represents converges unconditionally, that is, converges for every permutation of the integers. For short, we say that admits an unconditional F.D.D.We...
J. Bochnak, W. Kucharz (2003)
Annales Polonici Mathematici
Let X be a nonsingular complex algebraic curve and let Y be a nonsingular rational complex algebraic surface. Given a compact subset K of X, every holomorphic map from a neighborhood of K in X into Y can be approximated by rational maps from X into Y having no poles in K. If Y is a nonsingular projective complex surface with the first Betti number nonzero, then such an approximation is impossible.
Wu, Jinn-Wen (2003)
Applied Mathematics E-Notes [electronic only]
Małgorzata Stawiska (2007)
Annales Polonici Mathematici
We obtain sufficient and necessary conditions (in terms of positive singular metrics on an associated line bundle) for a positive divisor D on a projective algebraic variety X to be attracting for a holomorphic map f:X → X.
François Berteloot (1995)
Banach Center Publications
Joseph Maurer (1978)
Mathematische Annalen
Abdelaziz Chaouech (1996)
Publicacions Matemàtiques
We show that proper holomorphic self maps of pseudoconvex rigid polynomial domains in C2 are automorphisms.
Robert Juhlin, Bernhard Lamel (2013)
Journal of the European Mathematical Society
We show that the local automorphism group of a minimal real-analytic CR manifold is a finite dimensional Lie group if (and only if) is holomorphically nondegenerate by constructing a jet parametrization.
Jean-Pierre Vigué (1978)
Annales scientifiques de l'École Normale Supérieure
Róbert Szöke (1995)
Mathematische Zeitschrift
Nessim Sibony, Robert E. Molzon, Bernhard Schiffman (1981)
Mathematische Annalen
Christian Okonek (1987)
Journal für die reine und angewandte Mathematik
Alberto Farina, Berardino Sciunzi, Enrico Valdinoci (2008)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
We use a Poincaré type formula and level set analysis to detect one-dimensional symmetry of stable solutions of possibly degenerate or singular elliptic equations of the formOur setting is very general and, as particular cases, we obtain new proofs of a conjecture of De Giorgi for phase transitions in and and of the Bernstein problem on the flatness of minimal area graphs in . A one-dimensional symmetry result in the half-space is also obtained as a byproduct of our analysis. Our approach...
Nguyen Thi Thu Hang, Tran Van Tan (2010)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
D.E. Barrett (1986)
Inventiones mathematicae
Maciej Skwarczyński (1980)