24 citations · 82 across the 14 of their papers we have counts for
4 papers · 1 filter
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…
Stepanov and Weyl almost periodic functions on locally compact Abelian groups
Timo Spindeler
We study Stepanov and Weyl almost periodic functions on locally compact Abelian groups, which naturally appear in the theory of aperiodic order.
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…
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…