Spectral Theory

Research activities of the group:

• spectral analysis of systems of equations with polynomial coefficients, and properties of the associated spectral zeta functions;
• semiclassical analysis of the pseudospectrum of hypoelliptic operators that lose many derivatives;
• semiclassical structure of wave-functions of quantum Hamiltonians on flat tori, in terms of weak KAM tori;
• integrable Hamiltonian systems;
• isospectral systems;
• spectral theory of singular integral operators with holomorphic kernel on complex domains with limited smoothness.

External Collaborators:

Masato Wakayama, Karel Pravda-Starov, Lorenzo Zanelli, Petr Grinevich, Marco Bertola, Tamara Grava, Christian Klein, Dave Barett.