24 citations · 82 across the 14 of their papers we have counts for
16 papers
Pure point diffraction and almost periodicity
Daniel Lenz, Timo Spindeler, Nicolae Strungaru
This article deals with pure point diffraction and its connection to various notions of almost periodicity. We explain why the Fibonacci chain does not fit into the classical class…
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…
On eigenmeasures under Fourier transform
Michael Baake, Timo Spindeler, Nicolae Strungaru
Several classes of tempered measures are characterised that are eigenmeasures of the Fourier transform, the latter viewed as a linear operator on (generally unbounded) Radon measur…
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…
Ergodic frequency measures for random substitutions
Philipp Gohlke, Timo Spindeler
We construct a family of ergodic measures on random substitution subshifts (RS-subshifts) associated to a primitive random substitution. In particular, the word frequencies of ever…
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…
Shifts of finite type and random substitutions
Philipp Gohlke, Dan Rust, Timo Spindeler
We prove that every topologically transitive shift of finite type in one dimension is topologically conjugate to a subshift arising from a primitive random substitution on a finite…
Dynamical systems arising from random substitutions
Dan Rust, Timo Spindeler
Random substitutions are a natural generalisation of their classical `deterministic' counterpart, whereby at every step of iterating the substitution, instead of replacing a letter…
A note on measures vanishing at infinity
Timo Spindeler, Nicolae Strungaru
In this paper, we review the basic properties of measures vanishing at infinity and prove a version of the Riemann--Lebesgue lemma for Fourier transformable measures.
Diffraction intensities of a class of binary Pisot substitutions via exponential sums
Timo Spindeler
This paper is concerned with the study of diffraction intensities of a relevant class of binary Pisot substitutions via exponential sums. Arithmetic properties of algebraic integer…