Positive definite measures with discrete Fourier transform and pure point diffraction

Strungaru, Nicolae

Positive definite measures with discrete Fourier transform and pure point diffraction

Author

Strungaru, Nicolae

Date

2011

Keywords

pure point diffraction, positive definite measure, Fourier transform of measures

Abstract (summary)

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.

Publication Information

Strungaru, N. “Positive definite measures with discrete Fourier transform and pure point diffraction”, Canadian Mathematical Bulletin, Volume 54, Number 3, 544-555, (2011).