5 papers
Eberlein convolution as an inner product and quantitative Bombieri--Taylor results
Daniel Lenz, Nicolae Strungaru
We present a simple argument providing a very general Bombieri--Taylor-type result to compute Bragg peaks in diffraction theory as limits. At its abstract core the argument relies…
Wiener--Wintner points for topological dynamical systems
Daniel Lenz, Nicolae Strungaru
We consider measurable and topological dynamical systems over locally compact abelian groups. Our main observation relates convergence of Wiener-Wintner type averages to eigenvalue…
Which Meyer sets are regular model sets? A characterization via almost periodicity
Daniel Lenz, Christoph Richard, Nicolae Strungaru
In 2012, Meyer introduced the notions of generalized almost periodic measure and almost periodic pattern and proved that regular model sets in Euclidean space are almost periodic p…
Diffraction as a unitary representation and the orthogonality of measures with respect to the reflected Eberlein convolution
Daniel Lenz, Nicolae Strungaru
We discuss how the diffraction theory of a single translation bounded measure or a family of such measures can be understood within the framework of unitary group representations.…
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…