We prove that if $(��_n)_{n=0}^\infty, \; ��_0 \equiv 1, $ is a basis in the space of entire functions of $d$ complex variables, $d\geq 1,$ then for every compact $K\subset \mathbb{C}^d$ there is a compact $K_1 \supset K$ such that for every entire function $f= \sum_{n=0}^\infty f_n ��_n$ we have $\sum_{n=0}^\infty |f_n|\, \sup_{K}|��_n| \leq \sup_{K_1} |f|.$ A similar assertion holds for bases in the space of global analytic functions on a Stein manifold with the Liouville Property.

This version is accepted for publication in the Bulletin of the London Mathematical Society