The main aim of this paper is to prove that a nuclear Fréchet space E has the property (Hu) (resp. (Ω)) if and only if every holomorphic function on E (resp. on some dense subspace of E) can be written in the exponential form.
@article{urn:eudml:doc:41208,
title = {The property (Hu) and ($\Omega$) with the exponential representation of holomorphic functions.},
journal = {Publicacions Matem\`atiques},
volume = {38},
year = {1994},
pages = {37-49},
mrnumber = {MR1291951},
zbl = {0837.46005},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41208}
}
Minh Ha, Nguyen; Van Khue, Nguyen. The property (Hu) and (Ω) with the exponential representation of holomorphic functions.. Publicacions Matemàtiques, Tome 38 (1994) pp. 37-49. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41208/