Real Algebraic and Analytic Geometry |

An Elementary Proof of Schmüdgen's Theorem on the Moment Problem of Closed Semi-Algebraic Sets.

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Submission: 2006, July 18.

*Abstract:
We prove the main result from Schm\"udgen's 2003 article \cite{schm2} in a more elementary way.
The result states, that the question whether a finitely generated preordering has the so called \textit{strong moment property}
can be reduced to the same question for preorderings corresponding to fiber sets of bounded polynomials.*

Mathematics Subject Classification (2000): 44A60, 14P10.

Keywords and Phrases: Moment Problem; Real Algebraic Geometry.

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