Real Algebraic and Analytic Geometry

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


Submission: 2006, July 18.

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.

Full text, 9p.: dvi 40k, ps.gz 143k, pdf 173k.

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