Pure point measures with sparse support and sparse Fourier–Bohr support

DOI10.1112/tlm3.12020OpenAlexW3104205285MaRDI QIDQ5113368

Michael Baake, Nicolae Strungaru, Venta Terauds

Publication date: 10 June 2020

Published in: Transactions of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.00579

zbMATH Keywords

Fourier-Bohr spectrumcut and project schemedoubly sparse measure

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (4)

On eigenmeasures under Fourier transform ⋮ A note on tempered measures ⋮ Uniqueness theorem for Fourier transformable measures on LCA groups ⋮ Doubly sparse measures on locally compact abelian groups

Cites Work

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• On weak model sets of extremal density
• Tilings of amenable groups
• Dirac combs
• Characterization of model sets by dynamical systems
• Fourier analysis of unbounded measures on locally compact abelian groups
• Weighted Dirac combs with pure point diffraction

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