Fixed points of holomorphic mappings for domains in Banach spaces.
Harris, Lawrence A. (2003)
Abstract and Applied Analysis
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Harris, Lawrence A. (2003)
Abstract and Applied Analysis
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Peichu Hu (1994)
Mathematische Zeitschrift
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Bui Dac Tac (1991)
Annales Polonici Mathematici
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Studying the sequential completeness of the space of germs of Banach-valued holomorphic functions at a points of a metric vector space some theorems on extension of holomorphic maps on Riemann domains over topological vector spaces with values in some locally convex analytic spaces are proved. Moreover, the extendability of holomorphic maps with values in complete C-spaces to the envelope of holomorphy for the class of bounded holomorphic functions is also established. These results...
Takeo Ohsawa, Kensho Takegoshi (1987)
Mathematische Zeitschrift
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Peichu Hu (1993)
Mathematische Zeitschrift
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Takeo Ohsawa (1995)
Mathematische Zeitschrift
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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.
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.
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.
W. Klingenberg, S. Pinchuk (1991)
Mathematische Zeitschrift
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Ludwik M. Drużkowski (1980)
Annales Polonici Mathematici
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Ludwik M. Drużkowski (1983)
Annales Polonici Mathematici
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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.
M. Nikić (1988)
Matematički Vesnik
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Tran Ngoc Giao (1994)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Peter Pflug (2003)
Annales Polonici Mathematici
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This note is an attempt to describe a part of the historical development of the research on separately holomorphic functions.