Singular Bohr-Sommerfeld conditions for 1D Toeplitz operators: elliptic case

Using the analytic techniques developed for the study of the Bergman kernel in the case of a Kähler manifold with real-analytic regularity, we proved a composition and inversion

In our previous papers [5, 6], we derived normal forms near the eigenvalues crossings which allow to compute a local scattering matrix including the Landau-Zener amplitude.. The goal

More precisely, these conditions have been extended in the case of non-selfadjoint pertur- bations of selfadjoint operators in dimension two by Anders Melin and Johannes Sjöstrand

The usual Bohr-Sommerfeld conditions [9], recalled in section 4.6, de- scribe the intersection of the spectrum of a selfadjoint Toeplitz operator to a neighbourhood of any regular

For this class of operators we prove certain Szeg¨ o type theorems concerning the asymptotics of their compressions to an increasing chain of finite dimensional model spaces..

Embedding into Projective Space In the following, we assume that M is a quantizable compact K¨ahler manifold with quantum line bundle L.. Kodaira’s embedding theorem says that L

Le théorème 2 énonce que pour a assez petit les 4 coefficients qui apparaissent dans ces 2 combinaisons linéaires vérifient deux relations linéaires dont on connaît le développe-