On uncertainty principles in the finite dimensional setting
| hal.structure.identifier | Mathématiques - Analyse, Probabilités, Modélisation - Orléans [MAPMO] | |
| hal.structure.identifier | Analyse harmonique et fonctions spéciales | |
| dc.contributor.author | GHOBBER, Saifallah | |
| hal.structure.identifier | Mathématiques - Analyse, Probabilités, Modélisation - Orléans [MAPMO] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | JAMING, Philippe | |
| dc.date.accessioned | 2024-04-04T02:28:47Z | |
| dc.date.available | 2024-04-04T02:28:47Z | |
| dc.date.issued | 2011 | |
| dc.identifier.issn | 0024-3795 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190121 | |
| dc.description.abstractEn | The aim of this paper is to prove an uncertainty principle for the representation of a vector in two bases. Our result extends previously known qualitative uncertainty principles into quantitative estimates. We then show how to transfer this result to the discrete version of the Short Time Fourier Transform. An application to trigonometric polynomials is also given. | |
| dc.description.sponsorship | Analyse Harmonique et Problèmes Inverses - ANR-07-BLAN-0247 | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject.en | Fourier transform | |
| dc.subject.en | short-time Fourier transform | |
| dc.subject.en | uncertainty principle | |
| dc.title.en | On uncertainty principles in the finite dimensional setting | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.laa.2011.01.038 | |
| dc.subject.hal | Mathématiques [math]/Analyse classique [math.CA] | |
| dc.subject.hal | Informatique [cs]/Théorie de l'information [cs.IT] | |
| dc.subject.hal | Mathématiques [math]/Théorie de l'information et codage [math.IT] | |
| dc.identifier.arxiv | 0903.2923 | |
| bordeaux.journal | Linear Algebra and its Applications | |
| bordeaux.page | 751--768 | |
| bordeaux.volume | 435 | |
| 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-00368627 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00368627v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Linear%20Algebra%20and%20its%20Applications&rft.date=2011&rft.volume=435&rft.spage=751--768&rft.epage=751--768&rft.eissn=0024-3795&rft.issn=0024-3795&rft.au=GHOBBER,%20Saifallah&JAMING,%20Philippe&rft.genre=article |
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