Abstract:
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.
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