Type of Publication:  Contribution to a conference 
Publication status:  Published 
Author:  Infusino, Maria; Kuhlmann, Salma 
Year of publication:  2017 
Conference:  International Conference on Ordered Algebraic Structures and Related Topics, Oct 12, 2015  Oct 16, 2015, Luminy, France 
Published in:  Ordered algebraic structures and related topics / Broglia, Fabrizio et al. (ed.).  Providence, Rhode Island : American Mathematical Society, 2017.  (Contemporary mathematics ; 697).  pp. 187202.  ISBN 9781470429669 
ArXivID:  arXiv:1610.01659v2 
DOI (citable link):  https://dx.doi.org/10.1090/conm/697 
Summary: 
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.

Subject (DDC):  510 Mathematics 
Bibliography of Konstanz:  Yes 
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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. 187202. ISBN 9781470429669. Available under: doi: 10.1090/conm/697
@inproceedings{Infusino2017Infin36840.2, title={Infinite dimensional moment problem : open questions and applications}, year={2017}, doi={10.1090/conm/697}, number={697}, isbn={9781470429669}, address={Providence, Rhode Island}, publisher={American Mathematical Society}, series={Contemporary mathematics}, booktitle={Ordered algebraic structures and related topics}, pages={187202}, editor={Broglia, Fabrizio}, author={Infusino, Maria and Kuhlmann, Salma} }
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