Uncertainty principles for orthonormal bases

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dc.creatorJaming, Philippe
dc.date2006-06-16
dc.date.accessioned2026-07-07T07:17:21Z
dc.date.available2026-07-07T07:17:21Z
dc.descriptionIn this survey, we present various forms of the uncertainty principle (Hardy, Heisenberg, Benedicks). We further give a new interpretation of the uncertainty principles as a statement about the time-frequency localization of elements of an orthonormal basis, which improves previous unpublished results of H. Shapiro. Finally, we show that Benedicks' result implies that solutions of the Shrödinger equation have some (appearently unnoticed) energy dissipation property.
dc.identifierhttps://arxiv.org/abs/math/0606396
dc.identifierhttp://arxiv.org/abs/math/0606396
dc.identifierSeminaire d'equations aux derivees partielles, France (2006) expose XV, 21 fevrier 2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113911
dc.subjectClassical Analysis and ODEs
dc.subject42B10
dc.titleUncertainty principles for orthonormal bases
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