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An uncertainty principle and sampling inequalities in Besov spaces

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorJAMING, Philippe
hal.structure.identifierDepartment of Mathematical Sciences
dc.contributor.authorMALINNIKOVA, Eugenia
dc.date.accessioned2024-04-04T03:18:31Z
dc.date.available2024-04-04T03:18:31Z
dc.date.issued2016
dc.identifier.issn1069-5869
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194412
dc.description.abstractEnWe extend Strichartz's uncertainty principle [18] from the setting of the Sobolov space W 1,2 (R) to more general Besov spaces B 1/p p,1 (R). The main result gives an estimate from below of the trace of a function from the Besov space on a uniformly distributed discrete subset. We also prove the corresponding result in the multivariate case and discuss some applications to irregular approximate sampling in critical Besov spaces.
dc.description.sponsorshipConséquences à long terme de l'exposition péripubertaire aux cannabinoides: étude comportementale et transcriptionnelle chez le rat et analyse moléculaire chez l'homme - ANR-06-NEUR-0044
dc.language.isoen
dc.publisherSpringer Verlag
dc.subject.enUncertainty Principle
dc.subject.enBesov spaces
dc.subject.enSampling Theory
dc.title.enAn uncertainty principle and sampling inequalities in Besov spaces
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Analyse classique [math.CA]
dc.subject.halMathématiques [math]/Analyse fonctionnelle [math.FA]
dc.subject.halMathématiques [math]/Variables complexes [math.CV]
dc.identifier.arxiv1503.08590
bordeaux.journalJournal of Fourier Analysis and Applications
bordeaux.page768-786
bordeaux.volume22
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01135199
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01135199v1
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