Polynomial Representations via Spectral Decompositions

被引：0
|
作者：
O. Demanze
机构：
[1] Université des sciences et Technologies de Lille,U.F.R. de mathématiques Pures et Appliquées
来源：
Positivity | 2003年 / 7卷
关键词：
Functional Analysis; Fourier Analysis; Operator Theory; Potential Theory; Homogeneous Polynomial;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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+t21)β1/2 ...(1+t2n)βn/2, βi∈Z+, i = 1, ..., n
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页码：235 / 244
页数：9
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