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Positive trigonometric polynomials

Complex Variables 2007-05-23 v1 Commutative Algebra Algebraic Geometry

Abstract

We study the boundary of the nonnegative trigonometric polynomials from the algebraic point of view. In particularly, we show that it is a subset of an irreducible algebraic hypersurface and established its explicit form in terms of resultants.

Keywords

Cite

@article{arxiv.math/0301038,
  title  = {Positive trigonometric polynomials},
  author = {Vladimir Tkachev},
  journal= {arXiv preprint arXiv:math/0301038},
  year   = {2007}
}

Comments

9 pages