Рост целых функций, обращающихся в ноль на аналитическом множестве

Abstract

Left $f$ be an entire function in ${\mathbb{C}}^n$, $V$ be the set of its zeroes, and $n_f(z^{\prime },z_n)$ be the number of zeroes of $f(z^{\prime },z_n)$ in the circle $|z_n|\le t$. We construct an entire function $F$ such that $F$ vanishes on $V$ and its growth is estimated in terms of $n_f(z^{\prime },t)$