A short guide to pure point diffraction in cut-and-project sets
| dc.contributor.author | Richard, Christoph | |
| dc.contributor.author | Strungaru, Nicolae | |
| dc.date.accessioned | 2021-01-14 | |
| dc.date.accessioned | 2022-05-31T01:43:05Z | |
| dc.date.available | 2022-05-31T01:43:05Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | We 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. | |
| dc.format.extent | 1.09MB | |
| dc.format.mimetype | ||
| dc.identifier.citation | Richard, C., & Strungaru, N. (2017). A short guide to pure point diffraction in cut-and-project sets. arXiv:1606.08831v2. https://arxiv.org/abs/1606.08831 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14078/2132 | |
| dc.language | English | |
| dc.language.iso | en | |
| dc.rights | All Rights Reserved | |
| dc.subject | Fourier analysis | |
| dc.subject | Bochner's theorem | |
| dc.subject | pure point diffraction | |
| dc.title | A short guide to pure point diffraction in cut-and-project sets | en |
| dc.type | Report | |
| dspace.entity.type |
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