1. CMB 2011 (vol 54 pp. 544)
|Positive Definite Measures with Discrete Fourier Transform and Pure Point Diffraction|
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.
Keywords:pure point diffraction, positive definite measure, Fourier transform of measures