dc.contributor.author | Austad, Are | |
dc.contributor.author | Jakobsen, Mads Sielemann | |
dc.contributor.author | Luef, Franz | |
dc.date.accessioned | 2020-09-29T05:59:35Z | |
dc.date.available | 2020-09-29T05:59:35Z | |
dc.date.created | 2020-09-28T22:01:44Z | |
dc.date.issued | 2020 | |
dc.identifier.issn | 0129-167X | |
dc.identifier.uri | https://hdl.handle.net/11250/2680072 | |
dc.description.abstract | The duality principle for Gabor frames is one of the pillars of Gabor analysis. We establish a far-reaching generalization to Morita equivalence bimodules with some extra properties. For certain twisted group C∗-algebras, the reformulation of the duality principle to the setting of Morita equivalence bimodules reduces to the well-known Gabor duality principle by localizing with respect to a trace. We may lift all results at the module level to matrix algebras and matrix modules, and in doing so, it is natural to introduce (n,d)-matrix Gabor frames, which generalize multi-window super Gabor frames. We are also able to establish density theorems for module frames on equivalence bimodules, and these localize to density theorems for (n,d)-matrix Gabor frames. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | World Scientific Publishing | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Gabor duality theory for Morita equivalent C*-algebras | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | publishedVersion | en_US |
dc.source.volume | 31 | en_US |
dc.source.journal | International Journal of Mathematics | en_US |
dc.source.issue | 10 | en_US |
dc.identifier.doi | https://doi.org/10.1142/S0129167X20500731 | |
dc.identifier.cristin | 1834565 | |
dc.description.localcode | © The Author(s) This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC BY) License which permits use, distribution and reproduction in any medium, provided the original work is properly cited. | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |