hi,

i am working for some time on a problem and at some point i cant go further. here the critical part: Let $U \subset \mathbb{C}^{n}$ be a open set and consider $c : U \rightarrow \mathbb{R}$ a smooth positive function. Does there exist any holomorphic function $f : U \rightarrow \mathbb{C}$ such that $f(z) \overline{f(z)} = c(z)$ ??? it would be very nice if somebody could help me.

andrei