Mourad Boulsane

activity

20182020

most citedDiscrete Prolate Spheroidal Wave Functions: Further spectral analysis and some related applications

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.FA2020

Non-asymptotic behavior and the distribution of the spectrum of the finite Hankel transform operator

Mourad Boulsane

For a fixed reals $c > 0$ , $a > 0$ and $α > - \frac{1}{2}$ , the circular prolate spheroidal wave functions (CPSWFs) or 2d-Slepian functions as some authors call it, are the eigenfunctions…

math.CA2019★ 1 cited

Discrete Prolate Spheroidal Wave Functions: Further spectral analysis and some related applications

M. Boulsane, N. H. Bourguiba, A. Karoui

For fixed $W \in (0, \frac{1}{2})$ and positive integer $N \geq 1,$ the discrete prolate spheroidal wave functions (DPSWFs), denoted by $U_{k, W}^{N},$ $0 \leq k \leq N - 1$ form the…

math.CA2018

Mean convergence of prolate spheroidal series and their extensions

Mourad Boulsane, Philippe Jaming, Ahmed Souabni

The aim of this paper is to establish the range of p's for which the expansion of a function f $\in$ L p in a generalized prolate spheroidal wave function (PSWFs) basis converges t…