Some aspects and problems in holomorphy
Leopoldo Nachbin (1986)
Extracta Mathematicae
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Leopoldo Nachbin (1986)
Extracta Mathematicae
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Yun-Gang Ye (1994)
Inventiones mathematicae
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Sławomir Cynk, Kamil Rusek (1997)
Annales Polonici Mathematici
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We prove that every holomorphic bijection of a quasi-projective algebraic set onto itself is a biholomorphism. This solves the problem posed in [CR].
A. Kriegl, L. D. Nel (1985)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Jun-Muk Hwang (1996)
Mathematische Zeitschrift
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Bui Dac Tac (1991)
Annales Polonici Mathematici
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Studying the sequential completeness of the space of germs of Banach-valued holomorphic functions at a points of a metric vector space some theorems on extension of holomorphic maps on Riemann domains over topological vector spaces with values in some locally convex analytic spaces are proved. Moreover, the extendability of holomorphic maps with values in complete C-spaces to the envelope of holomorphy for the class of bounded holomorphic functions is also established. These results...
García, Domingo (1988)
Portugaliae mathematica
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Yasheng Ye, Xuecheng Pang, Liu Yang (2015)
Annales Polonici Mathematici
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In this paper, the definition of the derivative of meromorphic functions is extended to holomorphic maps from a plane domain into the complex projective space. We then use it to study the normality criteria for families of holomorphic maps. The results obtained generalize and improve Schwick's theorem for normal families.
M. Nikić (1988)
Matematički Vesnik
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Ralf Hollstein (1986)
Collectanea Mathematica
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Shamoyan, Romi, Li, Songxiao (2008)
Banach Journal of Mathematical Analysis [electronic only]
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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.