Mourad Boulsane

activity

20172022

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

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 papers

math.FA2022

Approximation in Hankel Sobolev Space by Circular prolate spheroidal series

Boulsane Mourad

Recently, with the progress of science and the characteristic properties that distinguish the Slepian system called Prolate spheroidal wave functions from the others orthonormal sy…

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…

math.CA2017

The finite Hankel transform operator: Some explicit and local estimates of the eigenfunctions and eigenvalues decay rates

Mourad Boulsane, Abderrazek Karoui

For fixed real numbers $c > 0,$ $α > - \frac{1}{2},$ the finite Hankel transform operator, denoted by $H_{c}^{α}$ is given by the integral operator defined on $L^{2} (0, 1)$ with kern…