Unitarily invariant strictly positive definite kernels on spheres

被引：7
|
作者：
Guella, J. C. [1 ]
Menegatto, V. A. [1 ]
机构：
[1] Univ Sao Paulo, ICMC, Caixa Postal 668, BR-13560970 Sao Carlos, SP, Brazil
来源：
POSITIVITY | 2018年 / 22卷 / 01期
基金：
巴西圣保罗研究基金会;
关键词：
Positive definite; Spheres; Disk polynomials; Zernike polynomials; Unitary group; GENERALIZED ZERNIKE; POLYNOMIALS;
D O I：
10.1007/s11117-017-0502-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present a Fourier characterization for the continuous and unitarily invariant strictly positive definite kernels on the unit sphere in , thus adding to a celebrated work of I. J. Schoenberg on positive definite functions on real spheres.
引用
收藏
页码：91 / 103
页数：13
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