Geodesic
A characterization of holomorphic germs on compact perfect sets
Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 3, pp. 483-490

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 $K$.
Classification : 30B40, 46G20, 46J15, 46J40
Keywords: differential quotients; holomorphic extensions 
@article{CMUC_2004__45_3_a8,
     author = {Carboni, Graciela and Larotonda, Angel},
     title = {A characterization of holomorphic germs on compact perfect sets},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {483--490},
     publisher = {mathdoc},
     volume = {45},
     number = {3},
     year = {2004},
     mrnumber = {2103142},
     zbl = {1103.46022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2004__45_3_a8/}
}
TY  - JOUR
AU  - Carboni, Graciela
AU  - Larotonda, Angel
TI  - A characterization of holomorphic germs on compact perfect sets
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2004
SP  - 483
EP  - 490
VL  - 45
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_2004__45_3_a8/
LA  - en
ID  - CMUC_2004__45_3_a8
ER  - 
%0 Journal Article
%A Carboni, Graciela
%A Larotonda, Angel
%T A characterization of holomorphic germs on compact perfect sets
%J Commentationes Mathematicae Universitatis Carolinae
%D 2004
%P 483-490
%V 45
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_2004__45_3_a8/
%G en
%F CMUC_2004__45_3_a8
Carboni, Graciela; Larotonda, Angel. A characterization of holomorphic germs on compact perfect sets. Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 3, pp. 483-490. http://geodesic.mathdoc.fr/item/CMUC_2004__45_3_a8/