NourElHouda Bourguiba

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

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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.CA2019

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…

math.CA2018

Further Spectral Properties of the Weighted Finite Fourier Transform Operator and Related Applications

NourElHouda Bourguiba, Souabni Ahmed

In this work, we first give some mathematical preliminaries concerning the generalized prolate spheroidal wave function (GPSWFs). These set of special functions have been introduce…

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 $E = L^{2} (I, ω_{α}),$ $I = [- 1, 1],$ …