TY - JOUR AU - Bradley Delso, Margarita PY - 1989 SN - 0764-4442 UR - https://hdl.handle.net/20.500.14352/57161 T2 - Comptes Rendus de l'Académie des Sciences. Série I. Mathématique AB - Using some elementary theory of convex sets we prove a necessary and a sufficient condition for f ε R[x„ . . ., x„](R being the real numbers) to be a finite sum of 2m-th powers of rational functions in x1, . . ., x n over R[i.e.f ε ∑ R(x)2 m] LA - eng M2 - 751 PB - Elsevier KW - rench polynomial ring KW - function field KW - convex set KW - positive semidefinite polynomial KW - sum of 2m-th powers KW - convex hull KW - supporting hyperplane TI - Convex-Hull Of Polynomials And Sums Of 2m-Th Powers TY - journal article VL - 309 ER -