A moment problem for pseudo-positive definite functionals
Functional Analysis
2010-06-08 v1 Numerical Analysis
Abstract
A moment problem is presented for a class of signed measures which are termed pseudo-positive. Our main result says that for every pseudo-positive definite functional (subject to some reasonable restrictions) there exists a representing pseudo-positive measure. The second main result is a characterization of determinacy in the class of equivalent pseudo-positive representation measures. Finally the corresponding truncated moment problem is discussed.
Keywords
Cite
@article{arxiv.0802.0023,
title = {A moment problem for pseudo-positive definite functionals},
author = {Ognyan Kounchev and Hermann Render},
journal= {arXiv preprint arXiv:0802.0023},
year = {2010}
}
Comments
23 p