Strong annihilating pairs for the Fourier-Bessel transform
GHOBBER, Saifallah
Mathématiques - Analyse, Probabilités, Modélisation - Orléans [MAPMO]
Analyse harmonique et fonctions spéciales
Mathématiques - Analyse, Probabilités, Modélisation - Orléans [MAPMO]
Analyse harmonique et fonctions spéciales
JAMING, Philippe
Mathématiques - Analyse, Probabilités, Modélisation - Orléans [MAPMO]
Institut de Mathématiques de Bordeaux [IMB]
Mathématiques - Analyse, Probabilités, Modélisation - Orléans [MAPMO]
Institut de Mathématiques de Bordeaux [IMB]
GHOBBER, Saifallah
Mathématiques - Analyse, Probabilités, Modélisation - Orléans [MAPMO]
Analyse harmonique et fonctions spéciales
Mathématiques - Analyse, Probabilités, Modélisation - Orléans [MAPMO]
Analyse harmonique et fonctions spéciales
JAMING, Philippe
Mathématiques - Analyse, Probabilités, Modélisation - Orléans [MAPMO]
Institut de Mathématiques de Bordeaux [IMB]
< Reduce
Mathématiques - Analyse, Probabilités, Modélisation - Orléans [MAPMO]
Institut de Mathématiques de Bordeaux [IMB]
Language
en
Article de revue
This item was published in
Journal of Mathematical Analysis and Applications. 2011, vol. 377, p. 501-515
Elsevier
English Abstract
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 ...Read more >
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.Read less <
English Keywords
Fourier-Bessel transform
Hankel transform
uncertainty principle
annihilating pairs
ANR Project
Analyse Harmonique et Problèmes Inverses - ANR-07-BLAN-0247
Origin
Hal imported