8 citations · 15 across the 15 of their papers we have counts for
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Pseudorandomness and Diffraction
David Damanik, Nicolae Strungaru
Pseudorandom structures are structures that behave like random ones, without necessarily being random themselves. It is a prominent, and evidently very difficult, conjecture that $…
Twice Fourier transformable measures and diffraction theory
Hans G. Feichtinger, Christoph Richard, Christoph Schumacher +1
Mathematical diffraction theory has been developed since about 1995. Hof's initial approach relied on tempered distributions in euclidean space. Nowadays often the Fourier theory b…
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…
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…
On the Fourier Analysis of Measures with Meyer Set Support
Nicolae Strungaru
In this paper we show the existence of the generalized Eberlein decomposition for Fourier transformable measures with Meyer set support. We prove that each of the three components…
Positive Positive Definite Discrete Strong Almost Periodic Measures and Bragg Diffraction
Nicolae Strungaru
In this paper we prove that the cone $\PPD$ of positive, positive definite, discrete and strong almost periodic measures has an interesting property: given any positive and positiv…