24 citations · 82 across the 14 of their papers we have counts for
7 papers · 1 filter
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…
Abstract almost periodicity for group actions on uniform topological spaces
Daniel Lenz, Timo Spindeler, Nicolae Strungaru
We present a unified theory for the almost periodicity of functions with values in an arbitrary Banach space, measures and distributions via almost periodic elements for the action…
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…
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.
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…
On norm almost periodic measures
Timo Spindeler, Nicolae Strungaru
In this paper, we study norm almost periodic measures on locally compact Abelian groups. First, we show that the norm almost periodicity of is equivalent to the equi-Bohr almos…