Prolate Spheroidal Wave Functions In q-Fourier Analysis
| dc.creator | Dhaouadi, Lazhar | |
| dc.date | 2007-07-18 | |
| dc.date | 2008-04-09 | |
| dc.date.accessioned | 2026-07-07T09:30:55Z | |
| dc.date.available | 2026-07-07T09:30:55Z | |
| dc.description | The prolate spheroidal wave functions, which are a special case of the spheroidal wave functions, possess a very surprising and unique property [6]. They are an orthogonal basis of both $L^2(-1,1)$ and the Paley-Wiener space of bandlimited functions. They also satisfy a discrete orthogonality relation. No other system of classical orthogonal functions is known to possess this strange property. We prove that there are new systems possessing this property in $q$-Fourier analysis. As application we give a new sampling formula with $q^n$ as sampling points, where 0 < q < 1. | |
| dc.identifier | https://arxiv.org/abs/0707.2728 | |
| dc.identifier | http://arxiv.org/abs/0707.2728 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158279 | |
| dc.subject | General Mathematics | |
| dc.title | Prolate Spheroidal Wave Functions In q-Fourier Analysis | |
| dc.type | text |