Strong annihilating pairs for the Fourier-Bessel transform - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Mathematical Analysis and Applications Année : 2011

Strong annihilating pairs for the Fourier-Bessel transform

Résumé

The aim of this paper is to prove two new uncertainty principles for the Fourier-Bessel transform (or Hankel transform). The first of these results is an extension of a result of Amrein-Berthier-Benedicks, it states that a non zero function $f$ and its Fourier-Bessel transform $\mathcal{F}_\alpha (f)$ cannot both have support of finite measure. The second result states that the supports of $f$ and $\mathcal{F}_\alpha (f)$ cannot both be $(\eps,\alpha)$-thin, this extending a result of Shubin-Vakilian-Wolff. As a side result we prove that the dilation of a $\cc_0$-function are linearly independent. We also extend Faris's local uncertainty principle to the Fourier-Bessel transform.
Fichier principal
Vignette du fichier
Hankel100715.pdf (226.22 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00516289 , version 1 (09-09-2010)

Identifiants

Citer

Saifallah Ghobber, Philippe Jaming. Strong annihilating pairs for the Fourier-Bessel transform. Journal of Mathematical Analysis and Applications, 2011, 377, pp.501-515. ⟨10.1080/10652469.2012.708868⟩. ⟨hal-00516289⟩
272 Consultations
303 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More