Strong annihilating pairs for the Fourier-Bessel transform

Details Strong annihilating pairs for the Fourier-Bessel transform Strong annihilating pairs for the Fourier-Bessel transform

2010-09-09

arxiv.org/abs/1009.1710v1

Mathematics

Classical Analysis and ODEs

19pp

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Strong annihilating pairs for the Fourier-Bessel transform does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Strong annihilating pairs for the Fourier-Bessel transform, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Strong annihilating pairs for the Fourier-Bessel transform will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-558647