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Extending hypersurfaces and meromorphic functions. (English) Zbl 0872.46027

Summary: 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.

MSC:

46G20 Infinite-dimensional holomorphy
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