Abstract
We prove a solvability theorem for the Stieltjes problem on mathbb {R}^d which is based on the multivariate Stieltjes condition sum _{n=1}^infty L(x_j^{n})^{-1/(2n)} =+infty , j=1,dots ,d. This result is applied to derive a new solvability theorem for the moment problem on unbounded semi-algebraic subsets of mathbb {R}^d.
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