8 citations · 15 across the 15 of their papers we have counts for
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Continuous diffraction spectrum and the uniform vanishing of Fourier--Bohr coefficients
Nicolae Strungaru
In this paper we review the connection among continuity of the diffraction spectrum, the (uniform) vanishing of the Fourier--Bohr coefficients and the so called consistent phase fr…
On almost periodicity in crystalline measures
Jan Mazáč, Christoph Richard, Nicolae Strungaru
Meyer defined crystalline measures as tempered distributions such that both and its Fourier transform are pure-point Radon measures of locally finite support. H…
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…
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.…
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…
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.