On the embeddability of certain infinitely divisible probability measures on Lie groups - Université de Rennes Accéder directement au contenu
Article Dans Une Revue Mathematische Zeitschrift Année : 2012

On the embeddability of certain infinitely divisible probability measures on Lie groups

S. G. Dani
  • Fonction : Auteur
  • PersonId : 932672
Yves Guivarc'H
  • Fonction : Auteur
  • PersonId : 1010109
Riddhi Shah
  • Fonction : Auteur
  • PersonId : 932673

Résumé

We describe certain sufficient conditions for an infinitely divisible probability measure on a Lie group to be embeddable in a continuous one-parameter semigroup of probability measures. A major class of Lie groups involved in the analysis consists of central extensions of almost algebraic groups by compactly generated abelian groups without vector part. This enables us in particular to conclude the embeddability of all infinitely divisible probability measures on certain connected Lie groups, including the so called Walnut group. The embeddability is concluded also under certain other conditions. Our methods are based on a detailed study of actions of certain nilpotent groups on special spaces of probability measures and on Fourier analysis along the fibering of the extension.

Dates et versions

hal-00752063 , version 1 (14-11-2012)

Identifiants

Citer

S. G. Dani, Yves Guivarc'H, Riddhi Shah. On the embeddability of certain infinitely divisible probability measures on Lie groups. Mathematische Zeitschrift, 2012, 272 (1-2), pp.361-379. ⟨10.1007/s00209-011-0937-0⟩. ⟨hal-00752063⟩
79 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More