Uniqueness theorems for Fourier quasicrystals and temperate distributions with discrete support

DOI10.1090/proc/15546zbMath1471.42020arXiv2006.07610OpenAlexW3134584016WikidataQ113822964 ScholiaQ113822964MaRDI QIDQ5012121

Sergeij Yu. Favorov

Publication date: 31 August 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.07610

zbMATH Keywords

Fourier transformtemperate distributionmeasure with discrete supportFourier quasicrystalalmost periodic distributiondistribution with discrete support

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Classical almost periodic functions, mean periodic functions (42A75) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Cites Work

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• Quasicrystals, almost periodic patterns, mean-periodic functions and irregular sampling
• Large Fourier quasicrystals and Wiener's theorem
• Almost periodic distributions in tube domains
• Asymptotically isospectral quantum graphs and generalised trigonometric polynomials
• Quasicrystals and Poisson's summation formula
• Fourier quasicrystals and discreteness of the diffraction spectrum
• Perturbations of discrete lattices and almost periodic sets
• Almost periodic discrete sets
• Tempered distributions with discrete support and spectrum
• Almost periodic measures
• Measures with locally finite support and spectrum

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