Moment problem in infinitely many variables
| dc.contributor.author | Ghasemi, Mehdi | |
| dc.contributor.author | Kuhlmann, Salma | |
| dc.contributor.author | Marshall, Murray | |
| dc.date.accessioned | 2016-07-15T12:45:06Z | |
| dc.date.available | 2016-07-15T12:45:06Z | |
| dc.date.issued | 2016-05-26 | eng |
| dc.description.abstract | The multivariate moment problem is investigated in the general context of the polynomial algebra R[x i | i ∈ Ω] in an arbitrary number of variables x i , i ∈ Ω. The results obtained are sharpest when the index set Ω is countable. Extensions of Haviland’s theorem [17] and Nussbaum’s theorem [34] are proved. Lasserre’s description of the support of the measure in terms of the non-negativity of the linear functional on a quadratic module of R[x i | i ∈ Ω] in [27] is shown to remain valid in this more general situation. The main tool used in the paper is an extension of the localization method developed by the third author in [30], [32] and [33]. Various results proved in [30], [32] and [33] are shown to continue to hold in this more general setting. | eng |
| dc.description.version | published | eng |
| dc.identifier.doi | 10.1007/s11856-016-1318-5 | eng |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/34810 | |
| dc.language.iso | eng | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | Moment problem in infinitely many variables | eng |
| dc.type | JOURNAL_ARTICLE | eng |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{Ghasemi2016-05-26Momen-34810,
year={2016},
doi={10.1007/s11856-016-1318-5},
title={Moment problem in infinitely many variables},
number={2},
volume={212},
issn={0021-2172},
journal={Israel Journal of Mathematics},
pages={989--1012},
author={Ghasemi, Mehdi and Kuhlmann, Salma and Marshall, Murray}
} | |
| kops.citation.iso690 | GHASEMI, Mehdi, Salma KUHLMANN, Murray MARSHALL, 2016. Moment problem in infinitely many variables. In: Israel Journal of Mathematics. 2016, 212(2), pp. 989-1012. ISSN 0021-2172. eISSN 1565-8511. Available under: doi: 10.1007/s11856-016-1318-5 | deu |
| kops.citation.iso690 | GHASEMI, Mehdi, Salma KUHLMANN, Murray MARSHALL, 2016. Moment problem in infinitely many variables. In: Israel Journal of Mathematics. 2016, 212(2), pp. 989-1012. ISSN 0021-2172. eISSN 1565-8511. Available under: doi: 10.1007/s11856-016-1318-5 | eng |
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| kops.sourcefield | Israel Journal of Mathematics. 2016, <b>212</b>(2), pp. 989-1012. ISSN 0021-2172. eISSN 1565-8511. Available under: doi: 10.1007/s11856-016-1318-5 | deu |
| kops.sourcefield.plain | Israel Journal of Mathematics. 2016, 212(2), pp. 989-1012. ISSN 0021-2172. eISSN 1565-8511. Available under: doi: 10.1007/s11856-016-1318-5 | deu |
| kops.sourcefield.plain | Israel Journal of Mathematics. 2016, 212(2), pp. 989-1012. ISSN 0021-2172. eISSN 1565-8511. Available under: doi: 10.1007/s11856-016-1318-5 | eng |
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