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Keywords:
differential quotients; holomorphic extensions
differential quotients; holomorphic extensions
Summary:
Let $K\subseteq\Bbb C$ be a perfect compact set, $E$ a quasi-complete locally convex space over $\Bbb C$ and $f:K\to E$ a map. In this note we give a necessary and sufficient condition --- in terms of differential quotients --- for $f$ to have a holomorphic extension on a neighborhood of $K$.
References:
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