arXiv Open Access 2023

Pure point diffraction and almost periodicity

Daniel Lenz Timo Spindeler Nicolae Strungaru

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Abstrak

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 class 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.

Topik & Kata Kunci

math-ph

Penulis (3)

Daniel Lenz

Timo Spindeler

Nicolae Strungaru

Format Sitasi

APA MLA BibTeX

Lenz, D., Spindeler, T., Strungaru, N. (2023). Pure point diffraction and almost periodicity. https://arxiv.org/abs/2312.12825

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓