On the extension of holomorphic functions on a locally convex space
Nguyen Van Khue (1983)
Annales Polonici Mathematici
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Nguyen Van Khue (1983)
Annales Polonici Mathematici
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Ralf Hollstein (1986)
Collectanea Mathematica
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Leopoldo Nachbin (1986)
Extracta Mathematicae
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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).
Roberto Luiz Soraggi (1994)
Extracta Mathematicae
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Ralf Hollstein (1984/85)
Mathematische Zeitschrift
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N. Khue, B. Tac (1990)
Studia Mathematica
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García, Domingo (1988)
Portugaliae mathematica
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A. Kriegl, L. D. Nel (1985)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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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...