Solving moment problems by dimensional extension
经典分析与常微分方程
2016-09-07 v1
摘要
The first part of this paper is devoted to an analysis of moment problems in R^n with supports contained in a closed set defined by finitely many polynomial inequalities. The second part of the paper uses the representation results of positive functionals on certain spaces of rational functions developed in the first part, for decomposing a polynomial which is positive on such a semi-algebraic set into a canonical sum of squares of rational functions times explicit multipliers.
引用
@article{arxiv.math/9905215,
title = {Solving moment problems by dimensional extension},
author = {Mihai Putinar and Florian-Horia Vasilescu},
journal= {arXiv preprint arXiv:math/9905215},
year = {2016}
}
备注
21 pages, published version, abstract added in migration