Probability, Statistics and Planet Earth, II:The Bochner-Godement theorem for symmetric spaces
Classical Analysis and ODEs
2017-07-18 v1 Probability
Abstract
The Bochner-Godement theorem extends the classical Bochner and Bochner-Schoenberg theorems from the context of Euclidean spaces and spheres to general symmetric spaces. We show how it also includes recent results on products of symmetric spaces: the Berg-Porcu theorem (sphere cross line), and the Guella-Menegatto-Peron theorem (products of spheres), and discuss related results and applications.
Keywords
Cite
@article{arxiv.1707.05204,
title = {Probability, Statistics and Planet Earth, II:The Bochner-Godement theorem for symmetric spaces},
author = {N. H. Bingham and Tasmin L. Symons},
journal= {arXiv preprint arXiv:1707.05204},
year = {2017}
}
Comments
12 pages