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Espaces de Banach-Stein

Vincenzo Ancona, Jean-Paul Speder (1971)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Extending holomorphic mappings from subvarieties in Stein manifolds

Franc Forstneric (2005)

Annales de l’institut Fourier

Suppose that Y is a complex manifold such that any holomorphic map from a compact convex set in a Euclidean space n to Y is a uniform limit of entire maps n Y . We prove that a holomorphic map X 0 Y from a closed complex subvariety X 0 in a Stein manifold X admits a holomorphic extension X Y provided that it admits a continuous extension. We then establish the equivalence of four Oka-type properties of a complex manifold.

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