Diffraction of weighted lattice subsets
| dc.creator | Baake, Michael | |
| dc.date | 2001-06-13 | |
| dc.date | 2002-02-13 | |
| dc.date.accessioned | 2026-07-07T04:42:09Z | |
| dc.date.available | 2026-07-07T04:42:09Z | |
| dc.description | A Dirac comb of point measures in Euclidean space with bounded complex weights that is supported on a lattice inherits certain general properties from the lattice structure. In particular, its autocorrelation admits a factorization into a continuous function and the uniform lattice Dirac comb, and its diffraction measure is periodic, with the dual lattice as lattice of periods. This statement remains true in the setting of a locally compact Abelian group that is also $σ$-compact. | |
| dc.description | 20 pages; revised and expanded version | |
| dc.identifier | https://arxiv.org/abs/math/0106111 | |
| dc.identifier | http://arxiv.org/abs/math/0106111 | |
| dc.identifier | Can. Math. Bulletin 45 (2002) 483 - 498 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61653 | |
| dc.subject | Metric Geometry | |
| dc.subject | Mathematical Physics | |
| dc.title | Diffraction of weighted lattice subsets | |
| dc.type | text |