Canad. Math. Bull. 54(2011), 544-555
Printed: Sep 2011
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.
pure point diffraction, positive definite measure, Fourier transform of measures
43A25 - Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups