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/