Positive definite measures with discrete Fourier transform and pure point diffraction
pure point diffraction, positive definite measure, Fourier transform of measures
In this paper we characterize the positive definite measures with discrete Fourier transform. As an application we provide a characterization of pure point diffraction in locally compact Abelian groups.
Strungaru, N. “Positive definite measures with discrete Fourier transform and pure point diffraction”, Canadian Mathematical Bulletin, Volume 54, Number 3, 544-555, (2011).
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