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)
Annulé
We study the growth of the resolvent of a Toeplitz operator $T_b$, defined on the Hardy space, in terms of the distance to its spectrum $\s(T_b)$. We are primarily interested in the case when the symbol $b$ is a Laurent polynomial (\emph{i.e., } the matrix $T_b$ is banded). We show that for an arbitrary such symbol the growth of the resolvent is quadratic, and under certain additional assumption it is linear. We also prove the quadratic growth of the resolvent for a certain class of non-rational symbols.
This is a joint work with S. Kupin and A. Vishnyakova.