Families of analytic discs in with boundaries on a prescribed submanifold
C. Denson Hill, Geraldine Taiani (1978)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “On the space of the analytic discs which are transversal to a smooth real hypersurface of ”
Families of analytic discs in with boundaries on a prescribed submanifold
Embeddability of real analytic Cauchy-Riemann manifolds
Aldo Andreotti, Gregory A. Fredricks (1979)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Maximum modulus sets and reflection sets
Alexander Nagel, Jean-Pierre Rosay (1991)
Annales de l'institut Fourier
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We study sets in the boundary of a domain in , on which a holomorphic function has maximum modulus. In particular we show that in a real analytic strictly pseudoconvex boundary, maximum modulus sets of maximum dimension are real analytic. Maximum modulus sets are related to , which are sets along which appropriate collections of holomorphic and antiholomorphic functions agree.
Equivalence of differentiable mappings and analytic mappings
Masahiro Shiota (1981)
Publications Mathématiques de l'IHÉS
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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 ...
Residue currents of the Bochner-Martinelli type.
Mikael Passare, August Tsikh, Alain Yger (2000)
Publicacions Matemàtiques
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Our objective is to construct residue currents from Bochner-Martinelli type kernels; the computations hold in the non complete intersection case and provide a new and more direct approach of the residue of Coleff-Herrera in the complete intersection case; computations involve crucial relations with toroidal varieties and multivariate integrals of the Mellin-Barnes type.