Weighted Dirac combs with pure point diffraction
نویسندگان
چکیده
منابع مشابه
Weighted Dirac combs with pure point diffraction
A class of translation bounded complex measures, which have the form of weighted Dirac combs, on locally compact Abelian groups is investigated. Given such a Dirac comb, we are interested in its diffraction spectrum which emerges as the Fourier transform of the autocorrelation measure. We present a sufficient set of conditions to ensure that the diffraction measure is a pure point measure. Simu...
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ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2004
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crll.2004.064