Functional Banach spaces of holomorphic functions on Reinhardt domains
Jacob Burbea (1988)
Annales Polonici Mathematici
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Jacob Burbea (1988)
Annales Polonici Mathematici
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Lárusson, Finnur (2009)
Documenta Mathematica
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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.
L. Waelbroeck (1983)
Studia Mathematica
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Timothy Porter (2013)
Annales de la faculté des sciences de Toulouse Mathématiques
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The aim of this article is to bring together various themes from fairly elementary homotopy theory and to examine them, in part, from a historical and philosophical viewpoint.
Franc Forstnerič (2004)
Annales de l’institut Fourier
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We establish the homotopy classification of holomorphic submersions from Stein manifolds to Complex manifolds satisfying an analytic property introduced in the paper. The result is a holomorphic analogue of the Gromov--Phillips theorem on smooth submersions.
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.
J. F. McClendon (1983)
Compositio Mathematica
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Tammo Tom Dieck (1971)
Compositio Mathematica
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Michael Mather, Marshall Walker (1980)
Mathematische Zeitschrift
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Goubault, Eric (2003)
Homology, Homotopy and Applications
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