A. Karoui

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20182022

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

1 citations · 2 across the 3 of their papers we have counts for

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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

Weighted Finite Laplace Transform Operator: Spectral Analysis and Quality of Approximation by its Eigenfunctions

NourElHouda Bourguiba, Abderrazek Karoui

For two real numbers $c > 0, α > - 1,$ we study some spectral properties of the weighted finite bilateral Laplace transform operator, defined over the space $E = L^{2} (I, ω_{α}),$ $I = [- 1, 1],$ …

math.CA2018

Non-Asymptotic behaviour of the spectrum of the Sinc Kernel Operator and Related Applications

Aline Bonami, Philippe Jaming, Abderrazek Karoui

Prolate spheroidal wave functions have recently attracted a lot of attention in applied harmonic analysis, signal processing and mathematical physics. They are eigenvectors of the…