Richard, ChristophStrungaru, Nicolae2021-01-142022-05-312022-05-312017Richard, C., & Strungaru, N. (2017). A short guide to pure point diffraction in cut-and-project sets. arXiv:1606.08831v2. https://arxiv.org/abs/1606.08831https://hdl.handle.net/20.500.14078/2132We briefly review the diffraction of quasicrystals and then give an elementary alternative proof of the diffraction formula for regular cut-and-project sets, which is based on Bochner's theorem from Fourier analysis. This clarifies a common view that the diffraction of a quasicrystal is determined by the diffraction of its underlying lattice. To illustrate our approach, we will also treat a number of well-known explicitly solvable examples.1.09MBPDFenAll Rights ReservedFourier analysisBochner's theorempure point diffractionReport