|Title:||Multiple decomposability of probabilities on contractible locally compact groups|
|Abstract:||Operator decomposable probabilities on vector spaces – generalizing (semi-)stable and self-decomposable laws – are well known. More specific concepts, multiple operator decomposable laws, generalizing the nested Urbanik classes in the case of selfdecomposability, were investigated in fundamental papers by Maejima et al. ,  resp. by Maejima and R. Shah  for real resp. p-adic vector spaces. For locally compact groups, decomposability properties were studied by R. Shah , Raja , see also . Here we are concerned with multiple decomposability on locally compact groups and generalize – as far as possible – the results in , . In fact, as it turned out that contraction properties play an essential role, hence throughout we concentrate on contractible locally compact groups.|
|Appears in Collections:||Preprints der Fakultät für Mathematik|
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