Almost periodic measures and long-range order in Meyer sets

Author
Strungaru, Nicolae
Faculty Advisor
Date
2005
Keywords
diffraction pattern , computational mathematic , point measure , periodic measure , Bragg peak
Abstract (summary)
The main result of this paper is that the diffraction pattern of any Meyer set with a well-defined autocorrelation has a relatively dense set of Bragg peaks. In the second part of the paper we provide a necessary and sufficient condition for a positive pure point measure to have a continuous Fourier transform. In particular, one can get a necessary and sufficient condition for a point set to have no Bragg peaks in its diffraction.
Publication Information
Strungaru, N. “Almost periodic measures and long range order in Meyer sets”, Discrete and Computational Geometry, 33, 483-505, (2005).
DOI
Notes
Item Type
Article
Language
English
Rights
All Rights Reserved