On Lévy's Brownian motion indexed by elements of compact groups

Paolo Baldi, and Maurizia Rossi. "On Lévy's Brownian motion indexed by elements of compact groups." Colloquium Mathematicae 133.2 (2013): 227-236. <http://eudml.org/doc/283695>.

@article{PaoloBaldi2013,
abstract = {We investigate positive definiteness of the Brownian kernel K(x,y) = 1/2(d(x,x₀) + d(y,x₀) - d(x,y)) on a compact group G and in particular for G = SO(n).},
author = {Paolo Baldi, Maurizia Rossi},
journal = {Colloquium Mathematicae},
keywords = {positive definite functions; compact groups; Lévy’s Brownian motion; Lie groups},
language = {eng},
number = {2},
pages = {227-236},
title = {On Lévy's Brownian motion indexed by elements of compact groups},
url = {http://eudml.org/doc/283695},
volume = {133},
year = {2013},
}

TY - JOUR
AU - Paolo Baldi
AU - Maurizia Rossi
TI - On Lévy's Brownian motion indexed by elements of compact groups
JO - Colloquium Mathematicae
PY - 2013
VL - 133
IS - 2
SP - 227
EP - 236
AB - We investigate positive definiteness of the Brownian kernel K(x,y) = 1/2(d(x,x₀) + d(y,x₀) - d(x,y)) on a compact group G and in particular for G = SO(n).
LA - eng
KW - positive definite functions; compact groups; Lévy’s Brownian motion; Lie groups
UR - http://eudml.org/doc/283695
ER -