Polynomial Representations via Spectral Decompositions |
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| Authors: | Demanze O |
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| Institution: | (1) U.F.R. de mathématiques Pures et Appliquées, Université des sciences et Technologies de Lille, U.R.A. au C.N.R.S. D751, 59655 Villeneuve d'Ascq Cedex, France |
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| Abstract: | We show using functional analysis methods, that under some conditions, such as the positivity of a homogeneous polynomial, one can give a representation of polynomials which are positive on semi-algebraic sets, allowing irrational fractions with denominators of the form (1+t2
1)
1/2 ...(1+t
2
n)
n/2, i Z+, i = 1, ..., n |
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| Keywords: | |
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