Note on the set of Bragg peaks with high intensity

Author
Strungaru, Nicolae
Lenz, D.
Faculty Advisor
Date
2016
Keywords
autocorrelation , discrete Fourier transform , Bragg peak , compact abelian group , pure point
Abstract (summary)
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.
Publication Information
Lenz, D. and Strungaru, N. “Note on the set of Bragg peaks with high intensity”, Annales Henri Poincare, Volume 17, Number 3, (2016).
DOI
Notes
Item Type
Article
Language
English
Rights
All Rights Reserved