A characterization of moment sequences by extensions
Abstract
The fibre theorem schm2003 for the moment problem on closed semi-algebraic subsets of d is generalized to finitely generated real unital algebras. A charaterization of moment functionals on the polynomial algebra [x1,…,xd] in terms of extensions is given. These results are applied to reprove basic results on the complex moment problem due to Stochel and Szafraniec stochelsz and Bisgaard bisgaard.
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