Pure point diffraction and almost periodicity
Faculty Advisor
Date
2024
Keywords
pure point diffraction, almost periodicity
Abstract (summary)
This article deals with pure point diffraction and its connection to various notions of almost periodicity. We explain why the Fibonacci chain does not fit into the classical concept of Bohr almost periodicity and how it fits into the classes of mean, Besicovitch and Weyl almost periodic point sets. We report on recent results which characterize pure point diffraction as mean almost periodicity of the underlying structure, and discuss how the complex amplitudes fit into this picture.
Publication Information
Lenz, D., Spindeler, T., & Strungaru, N. (2024). Pure point diffraction and almost periodicity. Israel Journal of Chemistry, 64, e202300158. https://doi.org/10.1002/ijch.202300158
Notes
Item Type
Article
Language
Rights
Attribution-NonCommercial-NoDerivs (CC BY-NC-ND)
