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arXiv · 1707.05204

Probability, Statistics and Planet Earth, II:The Bochner-Godement theorem for symmetric spaces

N. H. Bingham·Tasmin L. Symons
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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.

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N. H. Bingham, Tasmin L. Symons. 2017-06-27. Probability, Statistics and Planet Earth, II:The Bochner-Godement theorem for symmetric spaces. https://arxiv.org/abs/1707.05204

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