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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Harris, Lawrence A. (2003)
Abstract and Applied Analysis
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L. A. Aĭzenberg, C. Rea (1993)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Nabil Ourimi (2003)
Publicacions Matemàtiques
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In this paper we prove some compactness theorems of families of proper holomorphic correspondences. In particular we extend the well known Wong-Rosay's theorem to proper holomorphic correspondences. This work generalizes some recent results proved in [17].
Seán Dineen (1970)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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.
Tran Ngoc Giao (1994)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Zbigniew Slodkowski (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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...