Moment problem in infinitely many variables

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GHASEMI, Mehdi, Salma KUHLMANN, Murray MARSHALL, 2014. Moment problem in infinitely many variables

@unpublished{Ghasemi2014Momen-30958, title={Moment problem in infinitely many variables}, year={2014}, author={Ghasemi, Mehdi and Kuhlmann, Salma and Marshall, Murray} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dc:contributor>Kuhlmann, Salma</dc:contributor> <dc:date rdf:datatype="">2015-05-18T08:26:26Z</dc:date> <bibo:uri rdf:resource=""/> <dc:contributor>Ghasemi, Mehdi</dc:contributor> <dc:language>eng</dc:language> <dc:creator>Kuhlmann, Salma</dc:creator> <dcterms:issued>2014</dcterms:issued> <dcterms:abstract xml:lang="eng">The multivariate moment problem is investigated in the general context of the polynomial algebra R[xi∣i∈Ω] in an arbitrary number of variables xi, i∈Ω. The results obtained are sharpest when the index set Ω is countable. Extensions of Haviland's theorem [Amer. J. Math., 58 (1936) 164-168] and Nussbaum's theorem [Ark. Math., 6 (1965) 179-191] 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[xi∣i∈Ω] in [Trans. Amer. Math. Soc., 365 (2013) 2489-2504] 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.</dcterms:abstract> <dspace:isPartOfCollection rdf:resource=""/> <dcterms:title>Moment problem in infinitely many variables</dcterms:title> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:available rdf:datatype="">2015-05-18T08:26:26Z</dcterms:available> <dc:creator>Ghasemi, Mehdi</dc:creator> <dc:creator>Marshall, Murray</dc:creator> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dcterms:isPartOf rdf:resource=""/> <dc:contributor>Marshall, Murray</dc:contributor> </rdf:Description> </rdf:RDF>

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