Pure Point Diffraction and Poisson Summation

Richard C, Strungaru N (2017)

Publication Type: Journal article

Publication year: 2017


Book Volume: 18

Pages Range: 3903--3931

Journal Issue: 12

DOI: 10.1007/s00023-017-0620-z


We show that the diffraction formula for regular model sets and the Poisson Summation Formula for the underlying lattice can be derived from one another. This is achieved using Fourier analysis of unbounded Radon measures on locally compact abelian groups, as developed by Argabright and de Lamadrid. We also discuss related diffraction results for certain classes of non-regular so-called weak model sets.

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Richard, C., & Strungaru, N. (2017). Pure Point Diffraction and Poisson Summation. Annales Henri Poincaré, 18(12), 3903--3931. https://dx.doi.org/10.1007/s00023-017-0620-z


Richard, Christoph, and Nicolae Strungaru. "Pure Point Diffraction and Poisson Summation." Annales Henri Poincaré 18.12 (2017): 3903--3931.

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