CR mappings and their holomorphic extension
Mohamed S. Baouendi, Linda P. Rothschild (1987)
Journées équations aux dérivées partielles
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Displaying similar documents to “CR mappings between real hypersurfaces in complex space”
CR mappings and their holomorphic extension
On envelopes of holomorphy of domains covered by Levi-flat hats and the reflection principle
Joël Merker (2002)
Annales de l’institut Fourier
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In the present paper, we associate the techniques of the Lewy-Pinchuk reflection principle with the Behnke-Sommer continuity principle. Extending a so-called to a parameterized congruence of Segre varieties, we are led to studying the envelope of holomorphy of a certain domain covered by a smooth Levi-flat “hat”. In our main theorem, we show that every -smooth CR diffeomorphism between two globally minimal real analytic hypersurfaces in () is real analytic at every point of ...
Holomorphic mappings between algebraic hypersurfaces in complex space
M. S. Baouendi, L. P. Rothschild (1994-1995)
Séminaire Équations aux dérivées partielles (Polytechnique)
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On the continuous extension of holomorphic correspondences
F. Berteloot, A. Sukhov (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Convergence of formal invertible CR mappings between minimal holomorphically nondegenerate real analytic hypersurfaces.
Merker, Joël (2001)
International Journal of Mathematics and Mathematical Sciences
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Big Picard theorems for holomorphic mappings into the complement of moving hypersurfaces in .
Nguyen Thi Thu Hang, Tran Van Tan (2010)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Proper holomorphic mappings between rigid polynomial domains in C.
Bernard Coupet, Nabil Ourimi (2001)
Publicacions Matemàtiques
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We describe the branch locus of proper holomorphic mappings between rigid polynomial domains in C. It appears, in particular, that it is controlled only by the first domain. As an application, we prove that proper holomorphic self-mappings between such domains are biholomorphic.