Measures with locally finite support and spectrum

DOI10.4171/RMI/962zbMath1384.42009OpenAlexW2762770855MaRDI QIDQ5915737

Yves Meyer

Publication date: 3 November 2017

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rmi/962

zbMATH Keywords

quasicrystalscouplingPoisson summation formulaEpstein \(\zeta\) function

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (9)

Poisson summation formulas involving the sum-of-squares function ⋮ Crystalline temperate distributions with uniformly discrete support and spectrum ⋮ Tiling by translates of a function: results and open problems ⋮ On eigenmeasures under Fourier transform ⋮ Perturbed interpolation formulae and applications ⋮ Crystalline measures in two dimensions ⋮ Tempered distributions with translation bounded measure as Fourier transform and the generalized Eberlein decomposition ⋮ Fourier quasicrystals with unit masses ⋮ Fourier uniqueness pairs of powers of integers

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