The key result (Theorem 1) provides the existence of a holomorphic approximation map for some space of C∞-functions on an open subset of Rn. This leads to results about the existence of a continuous linear extension map from the space of the Whitney jets on a closed subset F of Rn into a space of holomorphic functions on an open subset D of Cn such that D ∩ Rn = RnF.
@article{urn:eudml:doc:40892,
title = {Holomorphic extension maps for spaces of Whitney jets.},
journal = {RACSAM},
volume = {95},
year = {2001},
pages = {19-28},
zbl = {1020.26016},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40892}
}
Schmets, Jean; Valdivia, Manuel. Holomorphic extension maps for spaces of Whitney jets.. RACSAM, Tome 95 (2001) pp. 19-28. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40892/