A characterization of moment sequences by extensions
Functional Analysis
2014-06-03 v1
Abstract
The fibre theorem \cite{schm2003} for the moment problem on closed semi-algebraic subsets of is generalized to finitely generated real unital algebras. A charaterization of moment functionals on the polynomial algebra 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}.
Keywords
Cite
@article{arxiv.1406.0282,
title = {A characterization of moment sequences by extensions},
author = {Konrad Schmüdgen},
journal= {arXiv preprint arXiv:1406.0282},
year = {2014}
}