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Note on the set of Bragg peaks with high intensity (1412.7377v1)
Published 23 Dec 2014 in math-ph and math.MP
Abstract: We consider diffraction of Delone sets in Euclidean space. We show that the set of Bragg peaks with high intensity is always Meyer (if it is relatively dense). We use this to provide a new characterization for Meyer sets in terms of positive and positive definite measures. Our results are based on a careful study of positive definite measures, which may be of interest in its own right.
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