Spectral properties of non-self-adjoint operators
arXiv:1002.4844
Abstract
This text is a slightly expanded version of my 6 hour mini-course at the PDE-meeting in Évian-les-Bains in June 2009. The first part gives some old and recent results on non-self-adjoint differential operators. The second part is devoted to recent results about Weyl distribution of eigenvalues of elliptic operators with small random perturbations.
References in corpus (8)
- Distribution of zeros of random and quantum chaotic sections of positive line bundles
- Universality and scaling of correlations between zeros on complex manifolds
- Semi-classical States for Non-self-adjoint Schrodinger Operators
- Non-self-adjoint harmonic oscillator, compact semigroups and pseudospectra
- Bohr-Sommerfeld quantization condition for non-selfadjoint operators in dimension 2
- Several complex variables and the distribution of resonances in potential scattering
- Eigenvalue distribution for non-self-adjoint operators on compact manifolds with small multiplicative random perturbations
- Spectral deviations for the damped wave equation