论文标题
正常域上的正确定功能
Positive definite functions on a regular domain
论文作者
论文摘要
我们在域上定义了积极和严格的正定功能，并在常规域列表中研究了这些功能。该列表包括单位球，圆锥形表面，双曲线表面，固体双曲线和单纯形。这些域中的每个域都通过保留图的距离嵌入单位球体的象限或象限的结合中，从中为这些常规域的表征得出了正确定和严格的正定函数的特征。
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 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.
