A geometric characterization of a class of Poisson type distributions

DOI10.1007/s00041-016-9509-3zbMath1402.52024OpenAlexW2530973491MaRDI QIDQ682874

Victor P. Palamodov

Publication date: 5 February 2018

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-016-9509-3

zbMATH Keywords

tempered distributionsautocorrelationcrystaluniformly discrete set

Mathematics Subject Classification ID

Harmonic analysis in several variables (42B99) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (4)

Crystalline temperate distributions with uniformly discrete support and spectrum ⋮ Tempered distributions with discrete support and spectrum ⋮ Local Wiener's theorem and coherent sets of frequencies ⋮ Temperate distributions with locally finite support and spectrum on Euclidean spaces

Cites Work

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• Measures with uniformly discrete support and spectrum
• Dirac combs
• On diffraction by aperiodic structures
• Structure of tilings of the line by a function
• Quasicrystals and Poisson's summation formula
• Fourier quasicrystals and discreteness of the diffraction spectrum
• Nombres de Pisot, nombres de Salem et analyse harmonique. Cours Peccot donne au College de France en avril-mai 1969
• Fourier quasicrystals and Lagarias’ conjecture

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