Almost periodic measures and Bragg diffraction
| dc.contributor.author | Strungaru, Nicolae | |
| dc.date.accessioned | 2020-10-05 | |
| dc.date.accessioned | 2022-05-31T01:15:24Z | |
| dc.date.available | 2022-05-31T01:15:24Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | In this paper we prove that the cone $\mathcal {PDS}(G)$ of positive, positive definite, discrete and strong almost periodic measures over a σ-compact, locally compact Abelian group G has an interesting property: given any positive and positive definite measure μ smaller than some measure in $\mathcal {PDS}(G)$, the strong almost periodic part μS of μ is also in $\mathcal {PDS}(G)$. We then use this result to prove that given a positive-weighted Dirac comb ω with finite local complexity and pure point diffraction, any positive Dirac comb less than ω has either a trivial Bragg spectrum or a relatively dense set of Bragg peaks. | |
| dc.description.uri | https://library.macewan.ca/full-record/edswsc/000316058200015 | |
| dc.identifier.citation | Strungaru, N. “Almost periodic measures and Bragg diffraction”, J. Phys. A: Math. Theor. 46, (2013). | |
| dc.identifier.doi | https://doi.org/10.1088/1751-8113/46/12/125205 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14078/1759 | |
| dc.language | English | |
| dc.language.iso | en | |
| dc.rights | All Rights Reserved | |
| dc.subject | Bragg spectrum | |
| dc.subject | Bragg peaks | |
| dc.title | Almost periodic measures and Bragg diffraction | |
| dc.type | Article |