A convenient setting for holomorphy
A. Kriegl, L. D. Nel (1985)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Displaying similar documents to “Non-natural topologies on spaces of holomorphic functions”
A convenient setting for holomorphy
Intermediate holomorphy
M. Nikić (1988)
Matematički Vesnik
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Extension of separately holomorphic functions-a survey 1899-2001
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.
The image of a finely holomorphic map is pluripolar
Armen Edigarian, Said El Marzguioui, Jan Wiegerinck (2010)
Annales Polonici Mathematici
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We prove that the image of a finely holomorphic map on a fine domain in ℂ is a pluripolar subset of ℂⁿ. We also discuss the relationship between pluripolar hulls and finely holomorphic functions.
On the extension of holomorphic functions on a locally convex space
Nguyen Van Khue (1983)
Annales Polonici Mathematici
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On some properties of a differential operator on the polydisk.
Shamoyan, Romi, Li, Songxiao (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Extension of separately holomorphic functions defined in non-open sets in the infinite dimensional case
Ludwik M. Drużkowski (1983)
Annales Polonici Mathematici
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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.
A generalization of the Malgrange-Zerner theorem
Ludwik M. Drużkowski (1980)
Annales Polonici Mathematici
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Holomorphic Functions and the (BB)-Property.
Sean Dineen (1994)
Mathematica Scandinavica
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Non-extendable holomorphic functions
P. Pflug (1985)
Matematički Vesnik
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On a holomorphic solution of a singular partial differential equation with many simple poles
Joji Kajiwara (1974)
Czechoslovak Mathematical Journal
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A method of holomorphic retractions and pseudoinverse matrices in the theory of continuation of δ-tempered functions
Marek Jarnicki
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CONTENTS§1. Introduction.................................................................................................................5§2. Basic properties of δ-tempered holomorphic functions...............................................8§3. Holomorphic continuation and holomorphic retractions.............................................20§4. Continuation from regular neighbourhoods...............................................................32§5. Continuation from δ-regular submanifolds;...
(LB)-structure of spaces of germs of holomorphic functions.
Nguyen Dinh Lan (2000)
Publicacions Matemàtiques
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We study the structure of spaces of germs of holomorphic functions on compact sets in Fréchet spaces for (LB) as well as for (Ω,Ω).