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A Simple Observation on the Uncertainty Principle for the Fractional Fourier Transform
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | JAMING, Philippe | |
| dc.date.accessioned | 2024-04-04T02:33:36Z | |
| dc.date.available | 2024-04-04T02:33:36Z | |
| dc.date.issued | 2022 | |
| dc.identifier.issn | 1069-5869 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190495 | |
| dc.description.abstractEn | The aim of this letter is to show that uncertainty principles for the pair u, F[u] (F the Fourier transform) can be tranfered without much effort to the pair Fα[u], F β [u] (Fα the Fractional Fourier transform) provided β − α / ∈ πZ. This letter is essentially of a tutorial nature and aims at avoiding that people waste their efforts on adaptations of the proofs from classical Fourier analysis to the fractional setting. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.title.en | A Simple Observation on the Uncertainty Principle for the Fractional Fourier Transform | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s00041-022-09946-2 | |
| dc.subject.hal | Mathématiques [math] | |
| bordeaux.journal | Journal of Fourier Analysis and Applications | |
| bordeaux.page | 51 | |
| bordeaux.volume | 28 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-04165335 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04165335v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Fourier%20Analysis%20and%20Applications&rft.date=2022&rft.volume=28&rft.issue=3&rft.spage=51&rft.epage=51&rft.eissn=1069-5869&rft.issn=1069-5869&rft.au=JAMING,%20Philippe&rft.genre=article |
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