Infinite dimensional moment problem : open questions and applications

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INFUSINO, Maria, Salma KUHLMANN, 2017. Infinite dimensional moment problem : open questions and applications. International Conference on Ordered Algebraic Structures and Related Topics. Luminy, France, Oct 12, 2015 - Oct 16, 2015. In: BROGLIA, Fabrizio, ed. and others. Ordered algebraic structures and related topics. Providence, Rhode Island:American Mathematical Society, pp. 187-202. ISBN 978-1-4704-2966-9. Available under: doi: 10.1090/conm/697

@inproceedings{Infusino2017Infin-36840.2, title={Infinite dimensional moment problem : open questions and applications}, year={2017}, doi={10.1090/conm/697}, number={697}, isbn={978-1-4704-2966-9}, address={Providence, Rhode Island}, publisher={American Mathematical Society}, series={Contemporary mathematics}, booktitle={Ordered algebraic structures and related topics}, pages={187--202}, editor={Broglia, Fabrizio}, author={Infusino, Maria and Kuhlmann, Salma} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dc:language>eng</dc:language> <dc:creator>Kuhlmann, Salma</dc:creator> <dcterms:title>Infinite dimensional moment problem : open questions and applications</dcterms:title> <dc:date rdf:datatype="">2018-02-06T12:14:02Z</dc:date> <dc:creator>Infusino, Maria</dc:creator> <dcterms:abstract xml:lang="eng">Infinite dimensional moment problems have a long history in diverse applied areas dealing with the analysis of complex systems but progress is hindered by the lack of a general understanding of the mathematical structure behind them. Therefore, such problems have recently got great attention in real algebraic geometry also because of their deep connection to the finite dimensional case. In particular, our most recent collaboration with Murray Marshall and Mehdi Ghasemi about the infinite dimensional moment problem on symmetric algebras of locally convex spaces revealed intriguing questions and relations between real algebraic geometry, functional and harmonic analysis. Motivated by this promising interaction, the principal goal of this paper is to identify the main current challenges in the theory of the infinite dimensional moment problem and to highlight their impact in applied areas. The last advances achieved in this emerging field and briefly reviewed throughout this paper led us to several unsolved open questions which we outline here.</dcterms:abstract> <dcterms:isPartOf rdf:resource=""/> <bibo:uri rdf:resource=""/> <dspace:isPartOfCollection rdf:resource=""/> <dc:contributor>Infusino, Maria</dc:contributor> <dcterms:issued>2017</dcterms:issued> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:available rdf:datatype="">2018-02-06T12:14:02Z</dcterms:available> <dc:contributor>Kuhlmann, Salma</dc:contributor> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> </rdf:Description> </rdf:RDF>

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