manuscripta mathematica

, Volume 97, Issue 3, pp 269–302

Anneaux d'holomorphie et Positivstellensatz archimédien

  • Jean-Philippe Monnier

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 Rn.

Mathematics Subject Classification (1991):11E25, 14P99 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Jean-Philippe Monnier
    • 1
  1. 1.IRMAR (CNRS, URA 305), Université de Rennes 1, Campus de Beaulieu, F-35042 Rennes Cedex, FranceFR

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