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arXiv · 1406.0282

A characterization of moment sequences by extensions

Konrad Schmüdgen
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Abstract

The fibre theorem \cite{schm2003} for the moment problem on closed semi-algebraic subsets of $\R^d$ is generalized to finitely generated real unital algebras. A charaterization of moment functionals on the polynomial algebra $\R[x_1,\dots,x_d]$ in terms of extensions is given. These results are applied to reprove basic results on the complex moment problem due to Stochel and Szafraniec \cite{stochelsz} and Bisgaard \cite{bisgaard}.

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Konrad Schmüdgen. 2014-06-02. A characterization of moment sequences by extensions. https://arxiv.org/abs/1406.0282

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