A convenient setting for holomorphy
A. Kriegl, L. D. Nel (1985)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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A. Kriegl, L. D. Nel (1985)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Tran Ngoc Giao (1994)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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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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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.
M. Nikić (1988)
Matematički Vesnik
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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.
Shamoyan, Romi, Li, Songxiao (2008)
Banach Journal of Mathematical Analysis [electronic only]
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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.
Joji Kajiwara (1974)
Czechoslovak Mathematical Journal
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