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@article{faucris.286196927,
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.},
author = {Pogorzelski, Felix and Richard, Christoph and Strungaru, Nicolae},
doi = {10.1007/s00041-022-09978-8},
faupublication = {yes},
journal = {Journal of Fourier Analysis and Applications},
note = {CRIS-Team WoS Importer:2022-12-02},
peerreviewed = {Yes},
title = {{Leptin} {Densities} in {Amenable} {Groups}},
volume = {28},
year = {2022}
}