Fourier quasicrystals with unit masses

DOI10.5802/crmath.142zbMath1456.42032arXiv2009.12810OpenAlexW3122105041MaRDI QIDQ2223436

Alexander Ulanovskii, Alexander Olevskiĭ

Publication date: 29 January 2021

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.12810

zbMATH Keywords

crystalline measurecomplex measure with discrete support and spectrum

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Classical almost periodic functions, mean periodic functions (42A75) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (6)

Discrete nonlinear Fourier transforms and their inverses ⋮ New directions in real algebraic geometry. Abstracts from the workshop held March 19--24, 2023 ⋮ Crystalline measures in two dimensions ⋮ Every real-rooted exponential polynomial is the restriction of a Lee-Yang polynomial ⋮ Wigner transform and quasicrystals ⋮ Bohr almost periodic sets of toral type

Cites Work

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• Quasicrystals with discrete support and spectrum
• Interpolation by functions with small spectra
• Stable polynomials and crystalline measures
• Measures with locally finite support and spectrum
• Measures with locally finite support and spectrum
• Fourier pairs of discrete support with little structure

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