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Positivity

, Volume 7, Issue 3, pp 235–244 | Cite as

Polynomial Representations via Spectral Decompositions

  • O. Demanze
Article
  • 25 Downloads

Abstract

We show using functional analysis methods, that under some conditions, such as the positivity of a homogeneous polynomial, one can give a representation of polynomials which are positive on semi-algebraic sets, allowing irrational fractions with denominators of the form (1+t21)β1/2 ...(1+t2n)βn/2, βi∈Z+, i = 1, ..., n

Keywords

Functional Analysis Fourier Analysis Operator Theory Potential Theory Homogeneous Polynomial 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • O. Demanze
    • 1
  1. 1.U.F.R. de mathématiques Pures et AppliquéesUniversité des sciences et Technologies de LilleVilleneuve d'Ascq CedexFrance

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