Piotr Liczberski, Jerzy Połubiński (2002)
Annales Polonici Mathematici
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We continue our previous work on a problem of Janiec connected with a uniqueness theorem, of Cartan-Gutzmer type, for holomorphic mappings in ℂⁿ. To solve this problem we apply properties of (j;k)-symmetrical functions.
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.
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.
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.
F. Berteloot, A. Sukhov (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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A. T. Huckleberry (1971)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Roberto Tauraso (1994)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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A criterion for the existence of fixed point of one-dimensional holomorphic maps is established.
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.
Richard M. Aron (1976)
Annales Polonici Mathematici
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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].
Harris, Lawrence A. (2003)
Abstract and Applied Analysis
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Ralf Hollstein (1986)
Collectanea Mathematica
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