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

引用

页码：235 / 244

页数：9

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