CR mappings and their holomorphic extension

Mohamed S. Baouendi; Linda P. Rothschild

Displaying similar documents to “CR mappings and their holomorphic extension”

CR mappings between real hypersurfaces in complex space

M. S. Baouendi, L. P. Rothschild (1987-1988)

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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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 $𝒞^{\infty}$ -smooth CR diffeomorphism $h : M \to M^{'}$ between two globally minimal real analytic hypersurfaces in $ℂ^{n}$ ( $n \geq 2$ ) is real analytic at every point of $M$ ...

A new division formula for complete intersections

Mikael Passare (1991)

Annales Polonici Mathematici

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We provide a new division formula for holomorphic mappings. It is given in terms of residue currents and has the advantage of being more explicit and simpler to prove than the previously known formulas.

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.

Recent developments in the theory of separately holomorphic mappings

Viêt-Anh Nguyên (2009)

Colloquium Mathematicae

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We describe a part of the recent developments in the theory of separately holomorphic mappings between complex analytic spaces. Our description focuses on works using the technique of holomorphic discs.

Some compactness theorems of families of proper holomorphic correspondences.

Nabil Ourimi (2003)

Publicacions Matemàtiques

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In this paper we prove some compactness theorems of families of proper holomorphic correspondences. In particular we extend the well known Wong-Rosay's theorem to proper holomorphic correspondences. This work generalizes some recent results proved in [17].

The Łojasiewicz exponent of c-holomorphic mappings

Maciej P. Denkowski (2005)

Annales Polonici Mathematici

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The aim of this paper is to study the Łojasiewicz exponent of c-holomorphic mappings. After introducing an order of flatness for c-holomorphic mappings we give an estimate of the Łojasiewicz exponent in the case of isolated zero, which is a generalization of the one given by Płoski and earlier by Chądzyński for two variables.

Extension of correspondences between rigid polynomial domains

Nabil Ourimi (2005)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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The theorem of Forelli for holomorphic mappings into complex spaces

Pham Ngoc Mai, Do Duc Thai, Le Tai Thu (2004)

Annales Polonici Mathematici

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Generalizations of the theorem of Forelli to holomorphic mappings into complex spaces are given.