Resumen de The property (Hu) and $(\tilde\Omega)$ with the exponential representation of holomorphic functions

Nguyen Minh Ha, Nguyen Van Khue

• The main aim of this paper is to prove that a nuclear Frechet space $E$ has the property $(H_u)$ (resp. $(\tilde\Omega)$) if and only if every holomorphic function on $E$ (resp. on some dense subspace of $E$) can be written in the exponential form.