Strictly positive definite functions on the unit circle

被引：0

作者：

Sun, XP ^{[1
]}

机构：

[1] SW Missouri State Univ, Dept Math, Springfield, MO 65804 USA

来源：

MATHEMATICS OF COMPUTATION | 2005年 / 74卷 / 250期

关键词：

strict positive-definiteness; the Kronecker approximation; Weyl's criterion; equidistribution;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study strictly positive definite functions on the unit circle in the Euclidean space of dimension two. We develop several conditions pertaining to the determination of such functions. The major result is obtained by considering the set of real numbers as a vector space over the field of rational numbers and then applying the Kronecker approximation theorem and Weyl's criterion on equidistributions.

引用

页码：709 / 721

页数：13

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