Arkiv för Matematik

  • Ark. Mat.
  • Volume 48, Number 1 (2010), 97-120.

A moment problem for pseudo-positive definite functionals

Ognyan Kounchev and 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.

Note

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.

Article information

Source
Ark. Mat., Volume 48, Number 1 (2010), 97-120.

Dates
Received: 2 January 2008
First available in Project Euclid: 31 January 2017

Permanent link to this document
https://projecteuclid.org/euclid.afm/1485907104

Digital Object Identifier
doi:10.1007/s11512-009-0095-3

Mathematical Reviews number (MathSciNet)
MR2594588

Zentralblatt MATH identifier
1218.47026

Rights
2009 © Institut Mittag-Leffler

Citation

Kounchev, Ognyan; Render, Hermann. A moment problem for pseudo-positive definite functionals. Ark. Mat. 48 (2010), no. 1, 97--120. doi:10.1007/s11512-009-0095-3. https://projecteuclid.org/euclid.afm/1485907104


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