Heisenberg Uncertainty Principle for the q-Bessel Fourier transform
| dc.creator | Dhaouadi, Lazhar | |
| dc.date | 2007-07-10 | |
| dc.date | 2008-07-01 | |
| dc.date.accessioned | 2026-07-07T09:47:16Z | |
| dc.date.available | 2026-07-07T09:47:16Z | |
| dc.description | In this paper we uses an I.I. Hirschman-W. Beckner entropy argument to give an uncertainty inequality for the $q$-Bessel Fourier transform: $$ \mathcal{F}_{q,v}f(x)=c_{q,v}\int_{0}^{\infty}f(t)j_{v}(xt,q^{2})t^{2v +1}d_{q}t, $$ where $j_v(x,q)$ is the normalized Hahn-Exton $q$-Bessel function. | |
| dc.identifier | https://arxiv.org/abs/0707.1494 | |
| dc.identifier | http://arxiv.org/abs/0707.1494 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163812 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | Heisenberg Uncertainty Principle for the q-Bessel Fourier transform | |
| dc.type | text |