dc.contributor.author | Halvdansson, Karl Simon | |
dc.date.accessioned | 2023-12-20T10:34:08Z | |
dc.date.available | 2023-12-20T10:34:08Z | |
dc.date.created | 2023-08-15T11:12:34Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | Journal of Functional Analysis Volume 285, Issue 8, 15 October 2023, 110096 | en_US |
dc.identifier.issn | 0022-1236 | |
dc.identifier.uri | https://hdl.handle.net/11250/3108363 | |
dc.description.abstract | On a locally compact group we introduce covariant quantization schemes and analogs of phase space representations as well as mixed-state localization operators. These generalize corresponding notions for the affine group and the Heisenberg group. The approach is based on associating to a square integrable representation of the locally compact group two types of convolutions between integrable functions and trace-class operators. In the case of non-unimodular groups these convolutions only are well-defined for admissible operators, which is an extension of the notion of admissible wavelets as has been pointed out recently in the case of the affine group. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Elsevier | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Quantum harmonic analysis on locally compact groups | en_US |
dc.title.alternative | Quantum harmonic analysis on locally compact groups | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | publishedVersion | en_US |
dc.source.volume | 285 | en_US |
dc.source.journal | Journal of Functional Analysis | en_US |
dc.source.issue | 8 | en_US |
dc.identifier.doi | 10.1016/j.jfa.2023.110096 | |
dc.identifier.cristin | 2167019 | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |