An uncertainty principle and sampling inequalities in Besov spaces
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | JAMING, Philippe | |
| hal.structure.identifier | Department of Mathematical Sciences | |
| dc.contributor.author | MALINNIKOVA, Eugenia | |
| dc.date.accessioned | 2024-04-04T03:18:31Z | |
| dc.date.available | 2024-04-04T03:18:31Z | |
| dc.date.issued | 2016 | |
| dc.identifier.issn | 1069-5869 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194412 | |
| dc.description.abstractEn | We 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.sponsorship | Conséquences 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.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | Uncertainty Principle | |
| dc.subject.en | Besov spaces | |
| dc.subject.en | Sampling Theory | |
| dc.title.en | An uncertainty principle and sampling inequalities in Besov spaces | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Analyse classique [math.CA] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
| dc.identifier.arxiv | 1503.08590 | |
| bordeaux.journal | Journal of Fourier Analysis and Applications | |
| bordeaux.page | 768-786 | |
| bordeaux.volume | 22 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01135199 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01135199v1 | |
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