Graciela Carboni, Angel Larotonda
A characterization of holomorphic germs on compact perfect sets

Comment.Math.Univ.Carolinae 45,3 (2004) 483-490.

Abstract: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 $K$.

Keywords: differential quotients, holomorphic extensions
AMS Subject Classification: Primary 46J40; Secondary 46J15