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dc.contributor.authorDabrowski, Ludwik
dc.contributor.authorJakobsen, Mads Sielemann
dc.contributor.authorLandi, Giovanni
dc.contributor.authorLuef, Franz
dc.date.accessioned2021-03-03T11:35:21Z
dc.date.available2021-03-03T11:35:21Z
dc.date.created2021-02-11T23:42:48Z
dc.date.issued2021
dc.identifier.citationReviews in Mathematical Physics. 2021, 33 .en_US
dc.identifier.issn0129-055X
dc.identifier.urihttps://hdl.handle.net/11250/2731380
dc.description.abstractWe study solitons of general topological charge over noncommutative tori from the perspective of time-frequency analysis. These solitons are associated with vector bundles of higher rank, expressed in terms of vector-valued Gabor frames. We apply the duality theory of Gabor analysis to show that Gaussians are such solitons for any value of a topological charge. Also they solve self/anti-self duality equations resulting from an energy functional for projections over noncommutative tori, and have a reformulation in terms of Gabor frames. As a consequence, the projections generated by Gaussians minimize the energy functional. We also comment on the case of the Moyal plane and the associated continuous vector-valued Gabor frames and show that Gaussians are the only class of solitons there.en_US
dc.language.isoengen_US
dc.publisherWorld Scientific Publishingen_US
dc.titleSolitons of general topological charge over noncommutative torien_US
dc.typePeer revieweden_US
dc.typeJournal articleen_US
dc.description.versionacceptedVersionen_US
dc.source.pagenumber30en_US
dc.source.volume33en_US
dc.source.journalReviews in Mathematical Physicsen_US
dc.identifier.doi10.1142/S0129055X21500094
dc.identifier.cristin1889035
dc.description.localcodeLocked until 1.2.2022 due to copyright restrictions. This is an [Accepted Manuscript]en_US
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode1


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