2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66186We 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 pagesComplex VariablesCommutative AlgebraAlgebraic Geometry30C15; 31A35Positive trigonometric polynomialstext