Positive definite measures with discrete Fourier transform and pure point diffraction

Strungaru, Nicolae2020-10-052022-05-312022-05-312011Strungaru, N. “Positive definite measures with discrete Fourier transform and pure point diffraction”, Canadian Mathematical Bulletin, Volume 54, Number 3, 544-555, (2011).https://hdl.handle.net/20.500.14078/1757In 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.enAll Rights Reservedpure point diffractionpositive definite measureFourier transform of measuresPositive definite measures with discrete Fourier transform and pure point diffractionArticlehttps://doi.org/10.4153/CMB-2011-059-x