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arxiv: math/0301038 · v1 · submitted 2003-01-06 · 🧮 math.CV · math.AC· math.AG

Positive trigonometric polynomials

Vladimir Tkachev This is my paper
classification 🧮 math.CV math.ACmath.AG
keywords algebraicpolynomialstrigonometricboundaryestablishedexplicitformhypersurface
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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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