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.
Funding Statement
Both authors acknowledge the support of the Institutes Partnership Project with the Alexander von Humboldt Foundation, Bonn. The first author was partially supported by a project DO-02-275, 2008 with the National Science Foundation of Bulgaria, and a bilateral research project B-Gr17 within the Greek-Bulgarian S&T Cooperation.
Citation
Ognyan Kounchev. Hermann Render. "A moment problem for pseudo-positive definite functionals." Ark. Mat. 48 (1) 97 - 120, April 2010. https://doi.org/10.1007/s11512-009-0095-3
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