Dense Dirac combs in Euclidean space with pure point diffraction

DOI10.1063/1.1609032zbMath1062.52022arXivmath-ph/0302049OpenAlexW2081391755MaRDI QIDQ4833124

Christoph Richard

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0302049

Mathematics Subject Classification ID

Quasicrystals and aperiodic tilings in discrete geometry (52C23) Continuous, (p)-adic and abstract analogues (11K41)

Related Items (17)

Eberlein decomposition for PV inflation systems ⋮ Continuity of eigenfunctions of uniquely ergodic dynamical systems and intensity of Bragg peaks ⋮ Pure point diffraction and cut and project schemes for measures: the smooth case ⋮ Discrete quasiperiodic sets with predefined local structure ⋮ ON HIGHER DIMENSIONAL ARITHMETIC PROGRESSIONS IN MEYER SETS ⋮ Pure point diffraction and Poisson summation ⋮ On eigenmeasures under Fourier transform ⋮ A short guide to pure point diffraction in cut-and-project sets ⋮ Modulated crystals and almost periodic measures ⋮ Diffraction of return time measures ⋮ On weakly almost periodic measures ⋮ On the Fourier Transformability of Strongly Almost Periodic Measures ⋮ On norm almost periodic measures ⋮ Pure point diffraction implies zero entropy for Delone sets with uniform cluster frequencies ⋮ Pure point/continuous decomposition of translation-bounded measures and diffraction ⋮ A note on measures vanishing at infinity ⋮ On arithmetic progressions in model sets

Cites Work

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• Almost periodic measures

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