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

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DOI

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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     author = {Marshall, M.},
     title = {Approximating {Positive} {Polynomials} {Using} {Sums} of {Squares}},
     journal = {Canadian mathematical bulletin},
     pages = {400--418},
     year = {2003},
     volume = {46},
     number = {3},
     doi = {10.4153/CMB-2003-041-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2003-041-9/}
}
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