dc.contributor.author | Luef, Franz | |
dc.contributor.author | Skrettingland, Eirik | |
dc.date.accessioned | 2019-11-27T09:49:27Z | |
dc.date.available | 2019-11-27T09:49:27Z | |
dc.date.created | 2019-07-05T13:08:27Z | |
dc.date.issued | 2019 | |
dc.identifier.issn | 0176-4276 | |
dc.identifier.uri | http://hdl.handle.net/11250/2630716 | |
dc.description.abstract | Recently we introduced mixed-state localization operators associated with a density operator and a (compact) domain in phase space. We continue the investigations of their eigenvalues and eigenvectors. Our main focus is the definition of a time-frequency distribution that is based on the Cohen class distribution associated with the density operator and the eigenvectors of the mixed-state localization operator. This time-frequency distribution is called the accumulated Cohen class distribution. If the trace class operator is a rank-one operator, then the mixed-state localization operators and the accumulated Cohen class distribution reduce to Daubechies’ localization operators and the accumulated spectrogram. We extend all the results about the accumulated spectrogram to the accumulated Cohen class distribution. The techniques used in the case of spectrograms cannot be adapted to other distributions in Cohen’s class since they rely on the reproducing kernel property of the short-time Fourier transform. Our approach is based on quantum harmonic analysis on phase space, which also provides the tools and notions to introduce the analogues of the accumulated spectrogram for mixed-state localization operators, the accumulated Cohen’s class distributions. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Springer | nb_NO |
dc.title | On Accumulated Cohen's Class Distributions and Mixed-State Localization Operators | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | acceptedVersion | nb_NO |
dc.source.journal | Constructive approximation | nb_NO |
dc.identifier.doi | 10.1007/s00365-019-09465-2 | |
dc.identifier.cristin | 1710348 | |
dc.description.localcode | This is a post-peer-review, pre-copyedit version of an article published in Constructive approximation. Locked until 28.05.2020 due to copyright restrictions. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00365-019-09465-2 | nb_NO |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |