Pure point diffraction and Poisson summation

Author
Strungaru, Nicolae
Richard, C.
Faculty Advisor
Date
2017
Keywords
diffraction , regular model sets , Poisson summation , pure point diffraction
Abstract (summary)
We show that the diffraction formula for regular model sets and the Poisson Summation Formula for the underlying lattice can be derived from one another. This is achieved using Fourier analysis of unbounded Radon measures on locally compact abelian groups, as developed by Argabright and de Lamadrid. We also discuss related diffraction results for certain classes of non-regular so-called weak model sets.
Publication Information
Richard, C. and Strungaru, N. “Pure point diffraction and Poisson summation”, Annales Henri Poincare, Vol 18, No 12, (2017).
DOI
Notes
Item Type
Article
Language
English
Rights
All Rights Reserved