|Title:||Mehler Semigroups, Ornstein-Uhlenbeck processes and background driving Lévy processes on locally compact groups and on hypergroups|
|Abstract:||For finite dimensional vector spaces it is well-known that there exists a 1-1-correspondence between distributions of Ornstein-Uhlenbeck type processes (w.r.t. a fixed group of automorphisms) and (background driving) Lévy processes. An analogous result could be proved for simply connected nilpotent Lie groups. Here we extend this correspondence to a class of commutative hypergroups.|
|Appears in Collections:||Preprints der Fakultät für Mathematik|
Files in This Item:
|mathematicalPreprint25.pdf||448.38 kB||Adobe PDF||View/Open|
This item is protected by original copyright
All resources in the repository are protected by copyright.