Programme scientifique

Déroulement

La journée d'Analyse se déroulera au bâtiment Copernic, sur le site de l'UPEM.

 09h45 Espace café Café d’accueil au 4ème étage près du secrétariat (bureau 4B 108). 10h15 Salle 3B 075 Kristian SEIP (NTNU, Trondheim)$H^p$ spaces of Dirichlet series and some sums of random multiplicative functions. 11h15 Salle 3B 075 Laurent BARATCHART (INRIA, Sophia-Antipolis)Weighted orthogonal polynomials on asymptotically conformal chord-arc domains. 12h15 Restaurant Universitaire pour les participants et restaurant "Chez Bruno" pour les membres du jury d'HDR Déjeuner (demander des tickets auprès de I. Chalendar) 14h00 Salle 4B 05R Evgeny ABAKUMOV (LAMA, Université Paris-Est Marne-la-Vallée)Spectral function theory and approximation problems (soutenance d’HDR). 16h00 Espace café Pot d'Habilitation au 4ème étage près du secrétariat (bureau 4B 108).

Résumés

$H^p$ spaces of Dirichlet series and some sums of random multiplicative functions

I will discuss how certain parts of the theory of Hardy spaces of the unit disc transfer to Hardy spaces of Dirichlet series. In addition, I will present some applications to problems that are motivated by our desire to understand the value distribution of the modulus of the Riemann zeta function on the critical line. The talk is based on joint work with Andriy Bondarenko, Ole Fredrik Brevig, Eero Saksman, and Jing Zhao.

Weighted orthogonal polynomials on asymptotically conformal chord-arc domains

We establish exterior asymptotics for weighted orthogonal polynomials on asymptotically conformal chord-arc domains under mild asumptions on the weight. The thread is that, if the weight does not vanish too much to the boundary of a reasonably smooth domain, the exterior asymptotics of orthonormal polynomials depend only on the boundary behaviour of the weight and can be viewed as a perturbation of the classical Szego theory. The results generalize some obtained by P. Korovkin, P. Suetin, E. Mina-Diaz and B. Simanek.