Pure Point Diffraction and Almost Periodicity

Abstract: 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.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Pure Point Diffraction and Almost Periodicity ; day:14 ; month:11 ; year:2024 ; extent:13
Israel journal of chemistry ; (14.11.2024) (gesamt 13)

Creator
Lenz, Daniel
Spindeler, Timo
Strungaru, Nicolae

DOI
10.1002/ijch.202300158
URN
urn:nbn:de:101:1-2411151322150.038481143267
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:23 AM CEST

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Associated

  • Lenz, Daniel
  • Spindeler, Timo
  • Strungaru, Nicolae

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