@inproceedings{Infusino2018deter-37274.2,
  year={2018},
  doi={10.1007/978-3-319-62527-0_7},
  title={On the determinacy of the moment problem for symmetric algebras of a locally convex space},
  number={262},
  isbn={978-3-319-62526-3},
  issn={0255-0156},
  publisher={Birkhäuser},
  address={Cham},
  series={Operator Theory : Advances and Applications},
  booktitle={Operator Theory in Different Settings and Related Applications},
  pages={243--250},
  editor={Duduchava, Roland},
  author={Infusino, Maria and Kuhlmann, Salma and Marshall, Murray}
}

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    <dcterms:abstract xml:lang="eng">This note aims to show a uniqueness property for the solution (whenever exists) to the moment problem for the symmetric algebra S(V) of a locally convex space (V, τ). Let μ be a measure representing a linear functional L: S(V) → R. We deduce a sufficient determinacy condition on L provided that the support of μ is contained in the union of the topological duals of V w.r.t. to countably many of the seminorms in the family inducing τ. We compare this result with some already known in literature for such a general form of the moment problem and further discuss how some prior knowledge on the support of the representing measure influences its determinacy.</dcterms:abstract>
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    <dc:contributor>Infusino, Maria</dc:contributor>
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    <dcterms:title>On the determinacy of the moment problem for symmetric algebras of a locally convex space</dcterms:title>
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    <dc:creator>Infusino, Maria</dc:creator>
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    <dc:contributor>Marshall, Murray</dc:contributor>
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    <dc:creator>Kuhlmann, Salma</dc:creator>
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