This short chapter presents characterizations of nonnegative univariate polynomials, with an emphasis on trigonometric polynomials. The basic result (the well known Riesz-Fejér theorem) is the existence of a spectral factorization for a globally nonnegative trigonometric polynomial.


Unit Circle Chebyshev Polynomial Trigonometric Polynomial Symmetric Polynomial Interior Domain 
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Copyright information

© Springer 2007

Authors and Affiliations

  • Bogdan Dumitrescu
    • 1
    • 2
  1. 1.Tampere University of TechnologyFinland
  2. 2.“Politehnica” University of BucharestRomania

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