Extending Hypersurfaces and Meromorphic Functions

Le Mau Hai and Tran Huu Nam

Abstract: The aim of this paper is to investigate the extension of hypersurfaces in the case where $\Omega$ is a spread domain over a locally convex space having the Levi property. From the obtained result the authors show that every meromorphic function from a spread domain $\Omega$ over a locally convex space having the Levi property with values in a sequentially complete locally convex space can be extended meromorphically to its envelope of holomorphy.

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