| Publication type: |
 |
Article in peer-reviewed journal |
|
| Subject: |
|
|
|
| Title: |
|
Hardy's theorem for the q-Bessel Fourier transform |
|
| Author(s): |
|
Lazhar Dhaouadi ( ) 1 |
|
| Laboratory: |
|
|
|
| Abstract: |
|
In this paper we give a q-analogue of the Hardy's theorem for the $q$-Bessel Fourier transform. The celebrated theorem asserts that if a function $f$ and its Fourier transform $\widehat{f}$ satisfying $|f(x)|\leq c.e^{-\frac{1}{2} x^2}$ and $|\widehat{f}(x)|\leq c.e^{-\frac{1}{2} x^2}$ for all $x\in\mathbb{% R}$ then $f(x)=\text{const}.e^{-\frac{1}{2} x^2}$. |
|
| Fulltext language: |
|
English |
|
|
| Journal: |
|
Bulletin of Mathematical Analysis and Applications |
|
| Audience: |
|
not specified |
|
| Publication date: |
|
2013 |
|
| Volume: |
|
5 |
|
| Issue: |
|
2 |
|
| Page, identifiant, ...: |
|
42-60 |
|
|
Export this paper
