On Hilbert's construction of positive polynomials

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Powers, V. and B. Reznick, Notes towards a constructive proof of Hilbert’s Theorem on ternary quartics , Proceedings, Quadratic forms and their applications, Dublin 1999 (A. Ranicki ed.) Cont. Math., 272

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Reznick, B., Some concrete aspects of Hilbert’s 17th Problem , Contemp. Math., 253

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Rudin, W., Sums of squares of polynomials , Amer. Math. Monthly 107

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