On the Distribution of Zero Sets of Holomorphic Functions. II

Abstract

Let $D$ be a nonempty domain in ${\mathbb{C}}^n$. We give a scale of necessary conditions for the distribution of the zero set of holomorphic function $f$ on domain $D\subset {\mathbb{C}}^n$ under a restriction on its growth $|f|\le \exp M$, where $M\not\equiv -\infty$ is a subharmonic function. If $n=1$, $D\ne \mathbb{C}$ is simply connected, and $M$ is continuous, then this conditions are sufficient.

3 pages; in Russian