Authors: | Hazod, Wilfried Kosfeld, Katrin |
Title: | Multiple decomposability of probabilities on contractible locally compact groups |
Language (ISO): | en |
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. |
URI: | http://hdl.handle.net/2003/27626 http://dx.doi.org/10.17877/DE290R-13408 |
Issue Date: | 2011-02-16 |
Appears in Collections: | Preprints der Fakultät für Mathematik |
Files in This Item:
File | Description | Size | Format | |
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mathematicalPreprint-2011-04.pdf | 451.32 kB | Adobe PDF | View/Open |
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