University of Carthage

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20052025

most citedUnsupervised Domain Adaptation using Generative Adversarial Networks for Semantic Segmentation of Aerial Images

216 citations

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14 papers · 1 filter

math.CA2023

Degree $6$ hyperbolic polynomials and orders of moduli

Yousra Gati, Vladimir Petrov Kostov, Mohamed Chaouki Tarchi

We consider real univariate degree $d$ real-rooted polynomials with non-vanishing coefficients. Descartes' rule of signs implies that such a polynomial has $c ~$ positive and…

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★ 5 cited

Descartes' rule of signs, Rolle's theorem and sequences of admissible pairs

Hassen Cheriha, Yousra Gati, Vladimir Petrov Kostov

Given a real univariate degree $d$ polynomial $P$ , the numbers $p o s_{k}$ and $n e g_{k}$ of positive and negative roots of $P^{(k)}$ , $k = 0$ , $\dots$ , $d - 1$ , must be admissible, i.e. the…

math.CA2018★ 18 cited

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…

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…

math.CA2015★ 5 cited

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^…