论文标题
两点均匀流形上的严格阳性确定的非异向核:渐近方法
Strictly positive definite non-isotropic kernels on two-point homogeneous manifolds: The asymptotic approach
论文作者
论文摘要
我们为紧凑的两点均匀空间上的一个积极的确定核提供了足够的条件,可以严格根据其作为一系列球形谐波的表示。所分析的家庭是各向同性核的概括,细节分析了真实领域的情况。
We present sufficient condition for a family of positive definite kernels on a compact two-point homogeneous space to be strictly positive definite based on their representation as a series of spherical harmonics. The family analyzed is a generalization of the isotropic kernels and the case of a real sphere is analyzed in details.