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- W2070193359 abstract "Assuming that is a distinguished locally convex space and F is a complete locally convex space, we prove that there exists an open subset V of E that contains and such that every holomorphic mapping f:E—>F whose restriction fB is o(E, £')-uniformiy continuous for every bounded subset B of has a unique holomorphic extension /: V —> F such that fB is a(E , £')-uniformly continuous for every bounded subset B of V. We show that in many cases we can take V = E . This is the case when E is a locally convex space where every G-holomorphic mapping that is bounded in a neighbourhood of the origin is locally bounded." @default.
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- W2070193359 date "1993-02-01" @default.
- W2070193359 modified "2023-09-26" @default.
- W2070193359 title "Extension of holomorphic mappings from $E$ to $E”$" @default.
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- W2070193359 doi "https://doi.org/10.1090/s0002-9939-1993-1139471-0" @default.
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