Proper holomorphic mappings.
Erik Low, John E. Fornaess (1986)
Mathematica Scandinavica
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Displaying similar documents to “Division Formulas for Holomorphic Mappings with Values in Banach Algebra.”
Proper holomorphic mappings.
Complete holomorphic vector fields on the second dual of Banach space.
Seán Dineen (1986)
Mathematica Scandinavica
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A Hahn-Banach Theorem for Holomorphic Mappings on Locally Convex Spaces.
Ralf Hollstein (1984/85)
Mathematische Zeitschrift
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Integral holomorphic functions
Verónica Dimant, Pablo Galindo, Manuel Maestre, Ignacio Zalduendo (2004)
Studia Mathematica
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We define the class of integral holomorphic functions over Banach spaces; these are functions admitting an integral representation akin to the Cauchy integral formula, and are related to integral polynomials. After studying various properties of these functions, Banach and Fréchet spaces of integral holomorphic functions are defined, and several aspects investigated: duality, Taylor series approximation, biduality and reflexivity.
Lineability of the set of holomorphic mappings with dense range
Jerónimo López-Salazar (2012)
Studia Mathematica
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Let U be an open subset of a separable Banach space. Let ℱ be the collection of all holomorphic mappings f from the open unit disc 𝔻 ⊂ ℂ into U such that f(𝔻) is dense in U. We prove the lineability and density of ℱ in appropriate spaces for different choices of U.
Complete Spaces of Vector-Valued Holomorphic Germs.
J. Bonet, P. Domanski, J. Mujica (1994)
Mathematica Scandinavica
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Fixed points of holomorphic mappings for domains in Banach spaces.
Harris, Lawrence A. (2003)
Abstract and Applied Analysis
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The range of vector valued holomorphic mappings
Richard M. Aron (1976)
Annales Polonici Mathematici
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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.
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.
Proper holomorphic self-mappings of the symmetrized bidisc
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.
Lineability and algebrability of the set of holomorphic functions with a given domain of existence
Thiago R. Alves (2014)
Studia Mathematica
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We show that if U is a domain of existence in a separable Banach space, then the set of holomorphic functions on U whose domain of existence is U is lineable and algebrable.
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.
H∞-extensibility and finite proper holomorphic surjections
Tran Ngoc Giao (1994)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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A uniqueness theorem of Cartan-Gutzmer type for holomorphic mappings in ℂⁿ
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.
Holomorphic mappings between spaces of different dimensions. II.
Peichu Hu (1994)
Mathematische Zeitschrift
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Classification of Equidimensional contact unimodular map germs.
A. Dimca, C.G. Gibson (1985)
Mathematica Scandinavica
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Strict continuous homomorphisms on spaces of bounded holomorphic functions.
Angeles Prieto Yerro (1990)
Extracta Mathematicae
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Let H be the space of all bounded holomorphic functions on the unit ball of the Banach space E. In this note we study the algebra homomorphisms on H which are strict continuous.