8 citations · 21 across the 24 of their papers we have counts for
6 papers · 1 filter
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…
Pure Point Diffraction and Mean, Besicovitch and Weyl Almost Periodicity
Daniel Lenz, Timo Spindeler, Nicolae Strungaru
We show that a translation bounded measure has pure point diffraction if and only if it is mean almost periodic. We then go on and show that a translation bounded measure has pure…
Eberlein decomposition for PV inflation systems
Michael Baake, Nicolae Strungaru
The Dirac combs of primitive Pisot--Vijayaraghavan (PV) inflations on the real line or, more generally, in are analysed. We construct a mean-orthogonal splitting for…
On arithmetic progressions in model sets
Anna Klick, Nicolae Strungaru, Adi Tcaciuc
In this project we show the existence of arbitrary length arithmetic progressions in model sets and Meyer sets in the Euclidean -space. We prove a van der Waerden type theorem f…
On the (dis)continuity of the Fourier transform of measures
Timo Spindeler, Nicolae Strungaru
In this paper, we will study the continuity of the Fourier transform of measures with respect to the vague topology. We show that the Fourier transform is vaguely discontinuous on…