41 citations · 310 across the 48 of their papers we have counts for
6 papers · 1 filter
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…
Relative position in binary substitutions
Michael Coons, Christopher Ramsey, Nicolae Strungaru
Given an infinite word on a finite alphabet, an immediate question arises:~can we understand the frequency of letters in \,? For words that are the fixed points…
Diffraction of the primes and other sets of zero density
Adam Humeniuk, Christopher Ramsey, Nicolae Strungaru
In this paper, we show that the diffraction of the primes is absolutely continuous, showing no bright spots (Bragg peaks). We introduce the notion of counting diffraction, extendin…
Circles in diffraction
Emily R. Korfanty, Nicolae Strungaru
Given a Fourier transformable measure in two dimensions, we find a formula for the intensity of its Fourier transform along circles. In particular, we obtain a formula for the diff…
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.…