A General Approach to Infinite-Dimensional Holomorphy.
S. Bjon, M. Lindström (1986)
Monatshefte für Mathematik
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S. Bjon, M. Lindström (1986)
Monatshefte für Mathematik
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E. Siegl (1995)
Monatshefte für Mathematik
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Nguyen Minh Ha, Nguyen Van Khue (1994)
Publicacions Matemàtiques
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The main aim of this paper is to prove that a nuclear Fréchet space E has the property (H) (resp. (Ω)) if and only if every holomorphic function on E (resp. on some dense subspace of E) can be written in the exponential form.
M. Nikić (1988)
Matematički Vesnik
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Stephen J. Gardiner (1992)
Monatshefte für Mathematik
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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.
Shamoyan, Romi, Li, Songxiao (2008)
Banach Journal of Mathematical Analysis [electronic only]
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M. González, J.M. Gutiérrez (1996)
Monatshefte für Mathematik
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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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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.
A. Kriegl, L. D. Nel (1985)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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