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Positive trigonometric polynomials

2003/01/06 by Vladimir Tkachev, Tkachev, Vladimir
Mathematics · #30C15 #31A35 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #Complex Variables (math.CV) #FOS: Mathematics #math.AC #math.AG #math.CV #msc:30C15 #msc:31A35

paper · pdf · doi:10.48550/arxiv.math/0301038

9 pages

arxiv created 2003/01/06 · arxiv updated 2009/11/30

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.

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