Leptin densities in amenable groups
| dc.contributor.author | Pogorzelski, Felix | |
| dc.contributor.author | Richard, Christoph | |
| dc.contributor.author | Strungaru, Nicolae | |
| dc.date.accessioned | 2024-01-05T22:09:27Z | |
| dc.date.available | 2024-01-05T22:09:27Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | Consider a positive Borel measure on a locally compact group. We define a notion of uniform density for such a measure, which is based on a group invariant introduced by Leptin in 1966. We then restrict to unimodular amenable groups and to translation bounded measures. In that case our density notion coincides with the well-known Beurling density from Fourier analysis, also known as Banach density from dynamical systems theory. We use Leptin densities for a geometric proof of the model set density formula, which expresses the density of a uniform regular model set in terms of the volume of its window, and for a proof of uniform mean almost periodicity of such model sets. | |
| dc.identifier.citation | Pogorzelski, F., Richard, C., & Strungaru, N. (2022). Leptin Densities in Amenable Groups. Journal of Fourier Analysis and Applications, 28, 85. https://doi.org/10.1007/s00041-022-09978-8 | |
| dc.identifier.doi | https://doi.org/10.1007/s00041-022-09978-8 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14078/3326 | |
| dc.language.iso | en | |
| dc.rights | Attribution (CC BY) | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | amenability | |
| dc.subject | Følner net | |
| dc.subject | Beurling density | |
| dc.subject | Banach density | |
| dc.subject | model set | |
| dc.subject | almost periodicity | |
| dc.title | Leptin densities in amenable groups | en |
| dc.type | Article |
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