Geodesic
Positive Definite Measures with Discrete Fourier Transform and Pure Point Diffraction
Canadian mathematical bulletin, Tome 54 (2011) no. 3, pp. 544-555

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DOI

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.
DOI : 10.4153/CMB-2011-059-x
Mots-clés : 43A25, pure point diffraction, positive definite measure, Fourier transform of measures 
Strungaru, Nicolae. Positive Definite Measures with Discrete Fourier Transform and Pure Point Diffraction. Canadian mathematical bulletin, Tome 54 (2011) no. 3, pp. 544-555. doi: 10.4153/CMB-2011-059-x
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     author = {Strungaru, Nicolae},
     title = {Positive {Definite} {Measures} with {Discrete} {Fourier} {Transform} and {Pure} {Point} {Diffraction}},
     journal = {Canadian mathematical bulletin},
     pages = {544--555},
     year = {2011},
     volume = {54},
     number = {3},
     doi = {10.4153/CMB-2011-059-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-059-x/}
}
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