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dc.contributor.authorAustad, Are
dc.contributor.authorJakobsen, Mads Sielemann
dc.contributor.authorLuef, Franz
dc.date.accessioned2020-09-29T05:59:35Z
dc.date.available2020-09-29T05:59:35Z
dc.date.created2020-09-28T22:01:44Z
dc.date.issued2020
dc.identifier.issn0129-167X
dc.identifier.urihttps://hdl.handle.net/11250/2680072
dc.description.abstractThe 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.isoengen_US
dc.publisherWorld Scientific Publishingen_US
dc.rightsNavngivelse 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.no*
dc.titleGabor duality theory for Morita equivalent C*-algebrasen_US
dc.typeJournal articleen_US
dc.typePeer revieweden_US
dc.description.versionpublishedVersionen_US
dc.source.volume31en_US
dc.source.journalInternational Journal of Mathematicsen_US
dc.source.issue10en_US
dc.identifier.doihttps://doi.org/10.1142/S0129167X20500731
dc.identifier.cristin1834565
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.ispublishedtrue
cristin.fulltextoriginal
cristin.qualitycode2


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