12 citations · 17 across the 5 of their papers we have counts for
5 papers · 1 filter
Further properties of ball prolates and approximation of related almost band-limited functions
Ahmed Souabni
In this paper we aim to give various explicit and local estimates of ball prolate spheroidal wave functions defined in [25] as eigenfunctions of both finite Fourier transform and s…
Further Spectral Properties of the Weighted Finite Transform Operator and Approximation in Weighted Sobolev Spaces
Ahmed Souabni, NourElHouda Bourguiba
In this work, we first give some mathematical preliminairies concerning the generelized prolate spheroidal wave functions(GPSWFs). This set of special functions have been introduce…
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 L p in a generalized prolate spheroidal wave function (PSWFs) basis converges t…
Weighted finite Fourier transform operator: Uniform approximations of the eigenfunctions, eigenvalues decay and behaviour
Abderrazek Karoui, Ahmed Souabni
In this paper, we first give two uniform asymptotic approximations of the eigenfunctions of the weighted finite Fourier transform operator, defined by ${\displaystyle \mathcal F_c^…
Generalized Prolate Spheroidal Wave Functions: Spectral Analysis and Approximation of Almost Band-limited Functions
Abderrazek Karoui, Ahmed Souabni
In this work, we first give various explicit and local estimates of the eigenfunctions of a perturbed Jacobi differential operator. These eigenfunctions generalize the famous class…