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Abstract

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.

Keywords

Unit Circle Chebyshev Polynomial Trigonometric Polynomial Symmetric Polynomial Interior Domain 
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

© 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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