Multiple decomposability of probabilities on contractible locally compact groups
| dc.contributor.author | Hazod, Wilfried | |
| dc.contributor.author | Kosfeld, Katrin | |
| dc.date.accessioned | 2011-02-16T14:08:13Z | |
| dc.date.available | 2011-02-16T14:08:13Z | |
| dc.date.issued | 2011-02-16 | |
| dc.description.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. [16], [17] resp. by Maejima and R. Shah [18] for real resp. p-adic vector spaces. For locally compact groups, decomposability properties were studied by R. Shah [27], Raja [23], see also [6]. Here we are concerned with multiple decomposability on locally compact groups and generalize – as far as possible – the results in [16], [18]. In fact, as it turned out that contraction properties play an essential role, hence throughout we concentrate on contractible locally compact groups. | en |
| dc.identifier.uri | http://hdl.handle.net/2003/27626 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-13408 | |
| dc.language.iso | en | |
| dc.subject.ddc | 610 | |
| dc.title | Multiple decomposability of probabilities on contractible locally compact groups | en |
| dc.type | Text | de |
| dc.type.publicationtype | preprint | en |
| dcterms.accessRights | open access |