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Anneaux d'holomorphie et Positivstellensatz archimédien

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Abstract:

In this paper we obtain some new Positivstellensatz for rings satisfying some archimedean properties. We also study the properties of the real holomorphy ring introduced recently by Becker and Powers. An application of these results in functional analysis is the resolution of the moment problem for some compact sets in R n.

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Authors and Affiliations

  1. IRMAR (CNRS, URA 305), Université de Rennes 1, Campus de Beaulieu, F-35042 Rennes Cedex, France, , , , , , FR

    Jean-Philippe Monnier

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  1. Jean-Philippe Monnier
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Reçcu le 20 janviers 1998 / Version revisée: le 2 April 1998

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Monnier, JP. Anneaux d'holomorphie et Positivstellensatz archimédien. manuscripta math. 97, 269–302 (1998). https://doi.org/10.1007/s002290050101

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  • DOI: https://doi.org/10.1007/s002290050101

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