R. Zarouf

activity

20092026

most citedNormalization, orthogonality and completeness of quasinormal modes of open systems: the case of electromagnetism

101 citations · 131 across the 26 of their papers we have counts for

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Showing 2026 · math.CAShow all

3 papers · 2 filters

math.CA2026

Projected Inner-Function Dynamics and Crystalline Measures of Meyer-Blaschke type

Oleg Szehr, Rachid Zarouf

We generalize a construction of Yves Meyer of sparse crystalline measures arising from powers of a Blaschke factor. Starting from a recursion $f_{n} = θ^{n} f_{0}$ on the unit circle where…

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.CA2026

Asymptotic sharpness of a Nikolskii type inequality for rational functions in the Wiener algebra

Benjamin Auxemery, Alexander Borichev, Rachid Zarouf

We establish the asymptotic sharpness of a Nikolskii type inequality proved by A. Baranov and R. Zarouf for rational functions $f$ in the Wiener algebra of absolutely convergent Fo…

Projected Inner-Function Dynamics and Crystalline Measures of Meyer-Blaschke type

Lower bounds in H2-rational approximation to Blaschke products

Asymptotic sharpness of a Nikolskii type inequality for rational functions in the Wiener algebra

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