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dc.contributor.authorLuef, Franz
dc.contributor.authorSkrettingland, Eirik
dc.date.accessioned2019-12-09T12:26:56Z
dc.date.available2019-12-09T12:26:56Z
dc.date.created2019-04-15T14:10:27Z
dc.date.issued2019
dc.identifier.citationJournal of Fourier Analysis and Applications. 2019, 25 (4), 2064-2108.nb_NO
dc.identifier.issn1069-5869
dc.identifier.urihttp://hdl.handle.net/11250/2632308
dc.description.abstractWe study mixed-state localization operators from the perspective of Werner’s operator convolutions which allows us to extend known results from the rank-one case to trace class operators. The idea of localizing a signal to a domain in phase space is approached from various directions such as bounds on the spreading function, probability densities associated to mixed-state localization operators, positive operator valued measures, positive correspondence rules and variants of Tauberian theorems for operator translates. Our results include a rigorous treatment of multiwindow-STFT filters and a characterization of mixed-state localization operators as positive correspondence rules. Furthermore we provide a description of the Cohen class in terms of Werner’s convolution of operators and deduce consequences on positive Cohen class distributions, an uncertainty principle, uniqueness and phase retrieval for general elements of Cohen’s class.nb_NO
dc.language.isoengnb_NO
dc.publisherElseviernb_NO
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.no*
dc.titleMixed-State Localization Operators: Cohen’s Class and Trace Class Operatorsnb_NO
dc.typeJournal articlenb_NO
dc.typePeer reviewednb_NO
dc.description.versionacceptedVersionnb_NO
dc.source.pagenumber2064-2108nb_NO
dc.source.volume25nb_NO
dc.source.journalJournal of Fourier Analysis and Applicationsnb_NO
dc.source.issue4nb_NO
dc.identifier.doi10.1007/s00041-019-09663-3
dc.identifier.cristin1692684
dc.description.localcode© 2019. This is the authors’ accepted and refereed manuscript to the article. Locked until 13.02.2020 due to copyright restrictions. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/nb_NO
cristin.unitcode194,63,15,0
cristin.unitnameInstitutt for matematiske fag
cristin.ispublishedtrue
cristin.fulltextoriginal
cristin.fulltextpostprint
cristin.qualitycode2


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Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal
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