Let U be an open convex subset of Cn, n belonging to N, such that the set of all polinomies is dense in the space of all holomorphic and complex functions on U, (H(U), t0), where t0 is the open-compact topology.
We endow the space HK(U) of all holomorphic functions on U that have asymptotic expansion at the origin with a metric and we study a particular compact subset of HK(U).
@article{urn:eudml:doc:38944,
title = {Familias compactas de funciones holomorfas con desarrollo asint\'otico en abierto de Cn.},
journal = {Stochastica},
volume = {10},
year = {1986},
pages = {55-77},
zbl = {0615.32010},
mrnumber = {MR0885061},
language = {es},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38944}
}
Guijarro Carranza, Piedad. Familias compactas de funciones holomorfas con desarrollo asintótico en abierto de Cn.. Stochastica, Tome 10 (1986) pp. 55-77. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38944/