Zeros of holomorphic functions of finite order and weighted estimates for solutions of the $\bar\partial$-equation

A characterization is given for the zero-sets of functions holomorphic in a strictly pseudoconvex manifold and having finite order of growth at the boundary of the manifold. The characterization is obtained by means of explicit formulas for solutions of the equation $\bar\partial u=f$ on a strictly convex domain in $\mathbf C^n$, valid for right sides $f$ having finite order of growth at the boundary of the domain.
Bibliography: 16 titles.