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Positive Definite Measures with Discrete Fourier Transform and Pure Point Diffraction

Published online by Cambridge University Press:  20 November 2018

Nicolae Strungaru
Nicolae Strungaru*
Affiliation:
Department of Mathematical Sciences, Grant MacEwan University, Edmonton, AB, T5J 4S2, andInstitute of Mathematics “Simon Stoilow”, Bucharest, Romania e-mail: strungarun@macewan.ca
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Abstract

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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

43A25pure point diffractionpositive definite measureFourier transform of measures
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 54 , Issue 3 , 01 September 2011 , pp. 544 - 555
Copyright
Copyright © Canadian Mathematical Society 2011

References

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