English

Ornstein-Uhlenbeck semi-groups on stratified groups

Functional Analysis 2009-07-08 v1

Abstract

We consider, in the setting of stratified groups G, two analogues of the Ornstein-Uhlenbeck semi-group, namely Markovian diffusion semi-groups acting on Lq(pdg)L^q(pd g), whose invariant density pp is a heat kernel at time 1 on G.

Cite

@article{arxiv.0907.1143,
  title  = {Ornstein-Uhlenbeck semi-groups on stratified groups},
  author = {Francoise Lust-Piquard},
  journal= {arXiv preprint arXiv:0907.1143},
  year   = {2009}
}
R2 v1 2026-06-21T13:22:19.655Z