Geodesic
Approximating Positive Polynomials Using Sums of Squares
Canadian mathematical bulletin, Tome 46 (2003) no. 3, pp. 400-418

Voir la notice de l'article provenant de la source Cambridge University Press

The paper considers the relationship between positive polynomials, sums of squares and the multi-dimensional moment problem in the general context of basic closed semi-algebraic sets in real $n$ -space. The emphasis is on the non-compact case and on quadratic module representations as opposed to quadratic preordering presentations. The paper clarifies the relationship between known results on the algebraic side and on the functional-analytic side and extends these results in a variety of ways.
DOI : 10.4153/CMB-2003-041-9
Mots-clés : 14P10, 44A60 
Marshall, M. Approximating Positive Polynomials Using Sums of Squares. Canadian mathematical bulletin, Tome 46 (2003) no. 3, pp. 400-418. doi: 10.4153/CMB-2003-041-9
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