Positivity, sums of squares and the multi-dimensional moment problem

@inproceedings{Kuhlmann2002PositivitySO,
  title={Positivity, sums of squares and the multi-dimensional moment problem},
  author={Salma Kuhlmann and M. Marshall},
  year={2002}
}
Let K be the basic closed semi-algebraic set in R n defined by some finite set of polynomials S and T, the preordering generated by S. For K compact, f a polynomial in n variables nonnegative on K and real e > 0, we have that f + ∈ E T. In particular, the K-Moment Problem has a positive solution. In the present paper, we study the problem when K is not compact. For n = 1, we show that the K-Moment Problem has a positive solution if and only if S is the natural description of K (see Section 1… CONTINUE READING

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