On Lévy's Brownian motion indexed by the elements of compact groups
arXiv:1310.0701 · doi:10.4064/cm133-2-9
Abstract
We investigate positive definiteness of the Brownian kernel K(x,y)=1/2(d(x,x_0) + d(y,x_0) - d(x,y)) on a compact group G and in particular for G=SO(n).
Accepted for publication. 10 pages