Wigner transform and quasicrystals

DOI10.1016/j.jfa.2021.109374zbMath1493.46060arXiv2106.09364OpenAlexW4206319522MaRDI QIDQ2067066

Paolo Boggiatto, Antonio Galbis, Alessandro Oliaro, Carmen Fernández

Publication date: 17 January 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.09364

zbMATH Keywords

Wigner transformuniformly discrete setsFourier quasicrystals

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Cites Work

• Unnamed Item
• Quasicrystals with discrete support and spectrum
• Large Fourier quasicrystals and Wiener's theorem
• Foundations of time-frequency analysis
• Fourier quasicrystals with unit masses
• Quasicrystals and Poisson's summation formula
• Fourier quasicrystals and discreteness of the diffraction spectrum
• Linear Perturbations of the Wigner Transform and the Weyl Quantization
• Harmonic Analysis in Phase Space. (AM-122)
• Stable polynomials and crystalline measures

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