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Séminaire Analyse

Les exposés couvrent essentiellement les thématiques autour de l’analyse complexe, la théorie des opérateurs, l’analyse harmonique, l’analyse fonctionnelle, la théorie spectrale et la modélisation et le signal (responsables : Sylvain Ervedoza et Stanislas Kupin)

Le 27 mars 2023 à 14:00

Salle 1

14:00 - 16:30 : Journée "Analyse harmonique et EDP"

Journée 'Analyse harmonique et EDP'

14:00 - Emmanuel Russ, Univ. Grenoble Alpes.
Inégalités de Riesz inverses dans les variétés riemaniennes.
Le résumé:
cf. https://plmbox.math.cnrs.fr/f/1ee58b7344e140ab8fb7/
15:00-15:30 Pause café
15:30 - Dmitry Ponomarev, INRIA Nice.
Constructive aspects related to the inverse magnetisation problem.
Le résumé:
The process of extraction of relict magnetic information from georocks and meteorites is a challenging task. Due to the weak intensity of the field produced by the remanent magnetisation of a rock, the measurements have to be performed in direct vicinity of the sample and using highly sensitive magnetometric devices such as SQUID and QDM. The basic quantity of interest is the net magnetisation (magnetisation moment vector). Reconstruction of this quantity hinges on effective processing of the experimental data, with the main challenges being the limited measurement area and the noise contamination. Motivated by the concrete experimental settings, I will focus on some constructive issues related to asymptotic estimation of the net magnetisation, field extrapolation and denoising. I will also show some numerical results illustrating the proposed computational strategies.

Le 28 mars 2023 à 09:30

Salle de Conférences

Masimba Nemaire, IMB Université de Bordeaux - INRIA Sophia-Antipolis

Problèmes inverses de potentiel et applications à l'éléctromagnétique quasi-statique.

Cf. https://plmbox.math.cnrs.fr/f/a27ae398a960411ab098/

Le 30 mars 2023 à 14:00

Salle de Conférences

Grzegorz Swiderski, Université de Wroclaw, Pologne

Asymptotic distribution of zeros of orthogonal polynomials.

We consider vague limit of properly normalized zero counting measures of orthogonal polynomials on the real line corresponding to measures with unbounded support. One important feature is that we do not scale the argument of the polynomials and as a consequence we have to deal with lack of tightness of the corresponding sequence of measures. The limiting measure turns out to be an infinite Radon measure (for Hermite polynomials it is a constant multiple of the Lebesgue measure). This is a joint work with Bartosz Trojan (Polish Academy of Science).

Le 13 avril 2023 à 14:00

Salle de Conférences

Davide Barilari (Padoue)

TBA

TBA

Le 4 mai 2023 à 14:00

Salle de Conférences

Laurent Bétermin (Lyon)

TBA

TBA

Le 4 mai 2023 à 14:00

Salle de Conférences