Pure point diffraction and Poisson summation

DOI10.1007/s00023-017-0620-zzbMath1388.78003arXiv1512.00912OpenAlexW3105094407MaRDI QIDQ1689428

Christoph Richard, Nicolae Strungaru

Publication date: 12 January 2018

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.00912

zbMATH Keywords

Fourier analysisabelian groupsRadon measurewave diffractionPoisson summationelectron optics

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Electron optics (78A15) Locally compact abelian groups (LCA groups) (22B99)

Related Items (22)

Eberlein decomposition for PV inflation systems ⋮ On the (dis)continuity of the Fourier transform of measures ⋮ On sampling and interpolation by model sets ⋮ Spectrum of weak model sets with Borel windows ⋮ Fourier transformable measures with weak Meyer set support and their lift to the cut-and-project scheme ⋮ On eigenmeasures under Fourier transform ⋮ A note on tempered measures ⋮ Delone dynamical systems and spectral convergence ⋮ Why do (weak) Meyer sets diffract? ⋮ Periods and factors of weak model sets ⋮ Modulated crystals and almost periodic measures ⋮ Diffraction of return time measures ⋮ On the Fourier Transformability of Strongly Almost Periodic Measures ⋮ On norm almost periodic measures ⋮ Dynamics on the graph of the torus parametrization ⋮ On weak model sets of extremal density ⋮ On the Fourier analysis of measures with Meyer set support ⋮ Weak model sets ⋮ Doubly sparse measures on locally compact abelian groups ⋮ A note on measures vanishing at infinity ⋮ Leptin densities in amenable groups ⋮ On arithmetic progressions in model sets

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