Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres
Classical Analysis and ODEs
2015-02-16 v2 Functional Analysis
Abstract
Convolution is an important tool in the construction of positive definite kernels on a manifold. This contribution provides conditions on an -positive definite and zonal kernel on the unit sphere of in order that the kernel can be recovered as a generalized convolution root of an equally positive definite and zonal kernel.
Cite
@article{arxiv.1410.4125,
title = {Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres},
author = {Victor S. Barbosa and Valdir A. Menegatto},
journal= {arXiv preprint arXiv:1410.4125},
year = {2015}
}