# A remark on the multidimensional moment problem

@article{Berg1979ARO, title={A remark on the multidimensional moment problem}, author={Christian Berg and Jens Peter Reus Christensen and Christian U. Jensen}, journal={Mathematische Annalen}, year={1979}, volume={243}, pages={163-169} }

To mot ivate the following results let us recall some definitions and results with relation to the m o m e n t problem. Let (S, + ) be an abelian semigroup with neutral element 0. A real-valued function f : S ~ I R is called positive definite, if for any finite set of elements sl . . . . . s, s S the matr ix f(s~ + s) is positive semidefinite. The set ~ = ~ ( S ) of positive definite functions is easily seen to be a closed convex cone in the vector space i f (S) of all functions f : S--.IR with…

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