Transition density estimates for stable processes on symmetric spaces

Piotr Graczyk and Andrzej Stós

Vol. 217 (2004), No. 1, 87–100

DOI: 10.2140/pjm.2004.217.87

Abstract

We present estimates of the transition densities for stable processes on Riemannian symmetric spaces of noncompact type. We show that these processes have a weak scaling property and we address in this way a question of Getoor about the stability properties of pseudostable measures on symmetric spaces.

Milestones

Received: 3 December 2002

Revised: 14 January 2004

Published: 1 November 2004