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- W4353111569 abstract "Let $S$ be a compact Hausdorff space and $X$ a complex manifold. We consider the space $C(S,X)$ of continuous maps $Sto X$, and prove that any bounded holomorphic function on this space can be continued to a holomorphic function, possibly multivalued, on a larger space $B(S,X)$ of Borel maps. As an application we prove two theorems about bounded holomorphic functions on $C(S,X)$, one reminiscent of the Monodromy Theorem, the other of Liouville's Theorem." @default.
- W4353111569 created "2023-03-23" @default.
- W4353111569 creator A5024577824 @default.
- W4353111569 date "2023-03-21" @default.
- W4353111569 modified "2023-10-14" @default.
- W4353111569 title "Aron--Berner--type extension in complex Banach manifolds" @default.
- W4353111569 doi "https://doi.org/10.48550/arxiv.2303.12047" @default.
- W4353111569 hasPublicationYear "2023" @default.
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