Proper holomorphic mappings from strongly pseudoconvex domains in C... to the unit polydisc in C...
Berit Stensones (1989)
Mathematica Scandinavica
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Berit Stensones (1989)
Mathematica Scandinavica
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Eric Bedford, Steve Bell (1985)
Manuscripta mathematica
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Klas Diederich, John E. Fornaess (1982)
Inventiones mathematicae
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F. Berteloot, A. Sukhov (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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.
Armen Edigarian (2004)
Annales Polonici Mathematici
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We characterize proper holomorphic self-mappings 𝔾₂ → 𝔾₂ for the symmetrized bidisc 𝔾₂ = {(λ₁+λ₂,λ₁λ₂): |λ₁|,|λ₂| < 1} ⊂ ℂ².
Łukasz Kosiński, Włodzimierz Zwonek (2013)
Annales Polonici Mathematici
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We present a result on the existence of some kind of peak functions for ℂ-convex domains and for the symmetrized polydisc. Then we apply the latter result to show the equivariance of the set of peak points for A(D) under proper holomorphic mappings. Additionally, we present a description of the set of peak points in the class of bounded pseudoconvex Reinhardt domains.
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.
J. Bonet, P. Domanski, J. Mujica (1994)
Mathematica Scandinavica
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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.
Robert Magnus (1994)
Mathematica Scandinavica
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Mikael Passare (1988)
Mathematica Scandinavica
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Edgar Lee Stout, Josip Globevnik (1987)
Mathematica Scandinavica
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F. Berteloot, S. Pinchuk (1995)
Mathematische Zeitschrift
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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].