Isotropic reproducing kernels for the inner of a sphere or spherical shell and their use as density covariance functions
Isotropic reproducing kernels for the inner of a sphere or spherical shell and their use as density covariance functions
复制标题
球体或球壳内部的各向同性再生核及其作为密度协方差函数的用途
DOI：
--
复制
发表时间：
1996
期刊：
影响因子：
--
通讯作者：
C. Tscherning
中科院分区：
文献类型：
--
作者：
C. Tscherning
球或球壳的各向同性再生核被导出为fL2正交基函数的加权乘积和。对于球面，这些函数是表面球谐函数和（0，2）次雅可比多项式的乘积。球的再生核与地球外部异常重力位的协方差函数是一致的。这些再生核可用于重力场建模，其包括密度（异常）数据作为观测值，或者其目的是使用最佳估计方法来预测这些量，即用于求解逆重力问题。
Isotropic reproducing kernels for a sphere or spherical shell are derived as weighted product sums o fL2orthonormal base functions. For the sphere these functions are products of the surface spherical harmonics and the Jacobi polynomials of degree (0, 2). Reproducing kernels for a sphere are consistent with the covariance function of the outer anomalous gravity potential of the Earth. These reproducing kernels may be used for gravity field modeling which include density (anomaly) data as observations or which aims at predicting such quantities using optimal estimation methods, that is for solving the inverse gravimetric problem.