Positive trigonometric polynomials

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.

9 pages

Cited by in corpus (2)

• Multidimensional Rational Covariance Extension with Approximate Covariance Matching
• Vietoris type theorem related to positivity of trigonometric polynomials