Agence pour le développement de l'emploi

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20092026

3 citations

11 papers

math.CA2026

Lower bounds in $H^{2}$ -rational approximation to Blaschke products

Laurent Baratchart, Alexander Borichev, Sylvain Chevillard +2

We derive lower bounds in best rational approximation of given degree to finite Blaschke products, in the Hardy space $H^{2}$ of the unit disk. We first consider approximation to $z^…

math.CV2024

Bloch functions with wild boundary behaviour in $C^{N}$

Stéphane Charpentier, Nicolas Espoullier, Rachid Zarouf

We prove the existence of functions $f$ in the Bloch space of the unit ball $B_{N}$ of $C^{N}$ with the property that, given any measurable function $φ$ on the unit s…

cs.CL2021

Controversy Detection: a Text and Graph Neural Network Based Approach

Samy Benslimane, Jérome Azé, Sandra Bringay +2

Controversial content refers to any content that attracts both positive and negative feedback. Its automatic identification, especially on social media, is a challenging task as it…

math.CV2021

On the Fourier coefficients of powers of a Blaschke factor and strongly annular fonctions

Alexander Borichev, Karine Fouchet, Rachid Zarouf

We compute asymptotic formulas for the $k^{th}$ Fourier coefficients of $b_{λ}^{n}$ , where $b_{λ} (z) = \frac{z - λ}{1 - λ z}$ is the Blaschke factor associated to $λ \in D$ , $k\in[0,…

math.FA2020

Interpolation without commutants

Oleg Szehr, Rachid Zarouf

We introduce a "dual-space approach" to mixed Nevanlinna-Pick/Carathéodory-Schur interpolation in Banach spaces X of holomorphic functions on the disk. Our approach can be viewed a…

math.CA2019★ 1 cited

On Bernstein's inequality for polynomials

Hervé Queffélec, Rachid Zarouf

Bernstein's classical inequality asserts that given a trigonometric polynomial $T$ of degree $n \geq 1$ , the sup-norm of the derivative of $T$ does not exceed $n$ times the sup-norm…

Lower bounds in H2-rational approximation to Blaschke products