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

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N. Minh Ha
N. 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.

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Minh Ha, N.; Van Khue, N. «The property $(H_u)$ and $(\tilde\Omega)$ with the exponential representation of holomorphic functions». Publicacions Matemàtiques, 1994, vol.VOL 38, núm. 1, p. 37-49, http://raco.cat/index.php/PublicacionsMatematiques/article/view/37789.