On weighted Dirac combs supported inside model sets
| 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 | 2014 | |
| dc.description.abstract | In this paper we prove that given a weakly almost periodic measure μ supported inside some model set $\Lambda (W)$ with closed window W, then the strongly almost periodic component ${{\mu }_{S}}$ and the null weakly almost periodic component μ0 are both supported inside $\Lambda (W)$. As a consequence we prove that given any translation bounded measure ω, supported inside some model set, then each of the pure point diffraction spectrum ${{\hat{\gamma }}_{{\rm pp}}}$ and the continuous diffraction spectrum ${{\hat{\gamma }}_{c}}$ is either trivial or has a relatively dense support. | |
| dc.description.uri | https://library.macewan.ca/full-record/edswsc/000340207200004 | |
| dc.identifier.citation | Strungaru, N. “On weighted Dirac combs supported inside model sets”, J. Phys. A: Math. Theor. 47 (2014). | |
| dc.identifier.doi | https://doi.org/10.1088/1751-8113/47/33/335202 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14078/1761 | |
| dc.language | English | |
| dc.language.iso | en | |
| dc.rights | All Rights Reserved | |
| dc.subject | Meyer sets | |
| dc.subject | model sets | |
| dc.subject | almost periodic measures | |
| dc.subject | diffraction | |
| dc.subject | Bragg spectra | |
| dc.title | On weighted Dirac combs supported inside model sets | en |
| dc.type | Article |