Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419609 | Journal of Mathematical Analysis and Applications | 2011 | 15 Pages |
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 and Benedicks, it states that a non-zero function f and its Fourier-Bessel transform Fα(f) cannot both have support of finite measure. The second result states that the supports of f and Fα(f) cannot both be (ε,α)-thin, this extending a result of Shubin, Vakilian and Wolff. As a side result we prove that the dilation of a C0-function are linearly independent. We also extend Faris's local uncertainty principle to the Fourier-Bessel transform.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Saifallah Ghobber, Philippe Jaming,