The Logvinenko-Sereda Theorem for the Fourier-Bessel transform
| 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 | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | JAMING, Philippe | |
| dc.date.accessioned | 2024-04-04T02:25:10Z | |
| dc.date.available | 2024-04-04T02:25:10Z | |
| dc.date.issued | 2013 | |
| dc.identifier.issn | 1065-2469 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189866 | |
| dc.description.abstractEn | The aim of this paper is to establish an analogue of Logvinenko-Sereda's theorem for the Fourier-Bessel transform (or Hankel transform) $\ff_\alpha$ of order $\alpha>-1/2$. Roughly speaking, if we denote by $PW_\alpha(b)$ the Paley-Wiener space of $L^2$-functions with Fourier-Bessel transform supported in $[0,b]$, then we show that the restriction map $f\to f|_\Omega$ is essentially invertible on $PW_\alpha(b)$ if and only if $\Omega$ is sufficiently dense. Moreover, we give an estimate of the norm of the inverse map. As a side result we prove a Bernstein type inequality for the Fourier-Bessel transform. | |
| dc.language.iso | en | |
| dc.publisher | Taylor & Francis | |
| dc.subject.en | Fourier-Bessel transform | |
| dc.subject.en | Hankel transform | |
| dc.subject.en | uncertainty principle | |
| dc.subject.en | strong annihilating pairs | |
| dc.title.en | The Logvinenko-Sereda Theorem for the Fourier-Bessel transform | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Analyse classique [math.CA] | |
| dc.identifier.arxiv | 1205.2268 | |
| bordeaux.journal | Integral Transforms and Special Functions | |
| bordeaux.page | 470-484 | |
| bordeaux.volume | 24 | |
| 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-00696009 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00696009v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Integral%20Transforms%20and%20Special%20Functions&rft.date=2013&rft.volume=24&rft.spage=470-484&rft.epage=470-484&rft.eissn=1065-2469&rft.issn=1065-2469&rft.au=GHOBBER,%20Saifallah&JAMING,%20Philippe&rft.genre=article |
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