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math-ph2026
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…
math-ph2024
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…
math-ph2023
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…