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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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.
Ludwik M. Drużkowski (1983)
Annales Polonici Mathematici
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M. Nikić (1988)
Matematički Vesnik
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Ludwik M. Drużkowski (1980)
Annales Polonici Mathematici
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Joji Kajiwara (1974)
Czechoslovak Mathematical Journal
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M. Mateljević (1986)
Matematički Vesnik
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M. Nikić (1986)
Matematički Vesnik
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A. Kriegl, L. D. Nel (1985)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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P. Pflug (1985)
Matematički Vesnik
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Maciej P. Denkowski (2007)
Annales Polonici Mathematici
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We begin this article with a graph theorem and a kind of Nullstellensatz for weakly holomorphic functions. This yields a general Nullstellensatz for c-holomorphic functions on locally irreducible sets. In Section 2 some methods of Płoski-Tworzewski permit us to prove an effective Nullstellensatz for c-holomorphic functions in the case of a proper intersection with the degree of the intersection cycle as exponent. We also extend this result to the case of isolated improper intersection,...