规则域上的正定函数

IF 2.3 2区数学 Q1 MATHEMATICS, APPLIED

IMA Journal of Numerical Analysis Pub Date : 2024-11-06 DOI:10.1093/imanum/drae074

Martin Buhmann, Yuan Xu

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引用次数: 0

摘要

我们定义了域上的正定函数和严格正定函数，并研究了这些函数在一系列正则域上的应用。该列表包括单位球、圆锥面、双曲面、实心双曲面和单纯形。这些域中的每一个都通过保距映射嵌入单位球的一个象限或象限的联合中，由此得出这些正则域的正定函数和严格正定函数的特征。

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Positive definite functions on a regular domain

We define positive and strictly positive definite functions on a domain and study these functions on a list of regular domains. The list includes the unit ball, conic surface, hyperbolic surface, solid hyperboloid and the simplex. Each of these domains is embedded in a quadrant or a union of quadrants of the unit sphere by a distance-preserving map, from which characterizations of positive definite and strictly positive definite functions are derived for these regular domains.

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来源期刊

IMA Journal of Numerical Analysis 数学-应用数学

CiteScore

5.30

自引率

4.80%

发文量

审稿时长

6-12 weeks

期刊介绍： The IMA Journal of Numerical Analysis (IMAJNA) publishes original contributions to all fields of numerical analysis; articles will be accepted which treat the theory, development or use of practical algorithms and interactions between these aspects. Occasional survey articles are also published.