Phase space distribution of Gabor expansions

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dc.creatorAscensi, Gerard
dc.creatorLyubarskii, Yurii I.
dc.creatorSeip, Kristian
dc.date2008-05-27
dc.date.accessioned2026-07-07T09:41:08Z
dc.date.available2026-07-07T09:41:08Z
dc.descriptionWe present an example of a complete and minimal Gabor system consisting of time-frequency shifts of a Gaussian, localized at the coordinate axes in the time-frequency plane (phase space). Asymptotically, the number of time-frequency shifts contained in a disk centered at the origin is only 2/pi times the number of points from the von Neumann lattice found in the same disk. Requiring a certain regular distribution in phase space, we show that our system has minimal density among all complete and minimal systems of time-frequency shifts of a Gaussian.
dc.description9 pages, submitted to publication
dc.identifierhttps://arxiv.org/abs/0805.4166
dc.identifierhttp://arxiv.org/abs/0805.4166
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161723
dc.subjectFunctional Analysis
dc.subjectClassical Analysis and ODEs
dc.titlePhase space distribution of Gabor expansions
dc.typetext

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