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arXiv · 0802.0023

A moment problem for pseudo-positive definite functionals

Ognyan Kounchev·Hermann Render
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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.

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Ognyan Kounchev, Hermann Render. 2008-01-31. A moment problem for pseudo-positive definite functionals. https://doi.org/10.1007/s11512-009-0095-3

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