Ornstein-Uhlenbeck semi-groups on stratified groups

Details Ornstein-Uhlenbeck semi-groups on stratified groups Ornstein-Uhlenbeck semi-groups on stratified groups

2009-07-07

arxiv.org/abs/0907.1143v1

Mathematics

Functional Analysis

Scientific paper

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

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