Measures with locally finite support and spectrum

DOI10.1073/pnas.1600685113zbMath1367.28002OpenAlexW2291304936WikidataQ36742693 ScholiaQ36742693MaRDI QIDQ5892287

Yves Meyer

Publication date: 16 February 2017

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.1600685113

zbMATH Keywords

Poisson formulaspectrum of a measurealmost periodic measuredistributional Fourier transformcrystalline measureweighted Dirac masses on a locally finite set

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12)

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Cites Work

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• Longitudinal smoothness of the holonomy groupoid
• Quasicrystals, almost periodic patterns, mean-periodic functions and irregular sampling
• Quasicrystals with discrete support and spectrum
• Concordance and the harmonic analysis of sequences
• Quasicrystals and Poisson's summation formula
• Co-Poisson intertwining
• ON SUMS OF THREE SQUARES
• Fourier pairs of discrete support with little structure

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