8 citations · 15 across the 6 of their papers we have counts for
12 papers
The (twisted) Eberlein convolution of measures
Daniel Lenz, Timo Spindeler, Nicolae Strungaru
In this paper, we study the properties of the Eberlein convolution of measures and introduce a twisted version of it. For functions we show that the twisted Eberlein convolution ca…
Colourings of aperiodic tilings
Molly Evans, Dylan Gawlak, Christopher Ramsey +2
We find explicit optimal vertex, edge and face coulourings for the chair tiling, the Ammann--Beenker tiling, the rational pinwheel tiling and the pinwheel tiling.
Semi-measures and their Fourier transform
Timo Spindeler, Nicolae Strungaru
The basic theory of semi-measures on locally compact Abelian groups is extended to prove the existence of a generalised Eberlein decomposition into such semi-measures.
Tempered distributions with translation bounded measure as Fourier transform and the generalized Eberlein decomposition
Timo Spindeler, Nicolae Strungaru
In this paper, we study the class of tempered distributions whose Fourier transform is a translation bounded measure and show that each such distribution in has orde…
Model sets with precompact Borel windows
Nicolae Strungaru
Given a cut and project scheme and a pre-compact Borel window we show that almost surely all positions of the window give rise to point sets with Besicovitch almost periodic Dirac…
Pure point spectrum for dynamical systems and mean almost periodicity
Daniel Lenz, Timo Spindeler, Nicolae Strungaru
We consider metrizable ergodic topological dynamical systems over locally compact, -compact abelian groups. We study pure point spectrum via suitable notions of almost periodici…