| dc.contributor.author |
Anoussis, M |
en |
| dc.contributor.author |
Gatzouras, D |
en |
| dc.date.accessioned |
2014-06-06T06:48:51Z |
|
| dc.date.available |
2014-06-06T06:48:51Z |
|
| dc.date.issued |
2008 |
en |
| dc.identifier.issn |
00754102 |
en |
| dc.identifier.uri |
http://dx.doi.org/10.1515/CRELLE.2008.088 |
en |
| dc.identifier.uri |
http://62.217.125.90/xmlui/handle/123456789/4299 |
|
| dc.title |
On mixing and ergodicity in locally compact motion groups |
en |
| heal.type |
journalArticle |
en |
| heal.identifier.primary |
10.1515/CRELLE.2008.088 |
en |
| heal.publicationDate |
2008 |
en |
| heal.abstract |
Let G be a semi-direct product G = A × φ K with A Abelian and K compact. We characterize spread-out probability measures on G that are mixing by convolutions by means of their Fourier transforms. A key tool is a spectral radius formula for the Fourier transform of a regular Borel measure on G that we develop, and which is analogous to the well-known Beurling-Gelfand spectral radius formula. For spread-out probability measures on G, we also characterize ergodicity by convolutions by means of the Fourier transform of the measure. Finally, we show that spread-out probability measures on such groups are mixing by convolutions if and only if they are weakly mixing by convolutions. © 2008 Walter de Gruyter Berlin · New York. |
en |
| heal.journalName |
Journal fur die Reine und Angewandte Mathematik |
en |
| dc.identifier.issue |
625 |
en |
| dc.identifier.doi |
10.1515/CRELLE.2008.088 |
en |
| dc.identifier.spage |
1 |
en |
| dc.identifier.epage |
28 |
en |