On the pseudospectra of Schrödinger operators on Zoll manifolds

Abstract

We consider non-self-adjoint Schrödinger operators $\Delta +V$ where $\Delta$ is the Laplace-Beltrami operator on a Zoll manifold $X$ and $V\in C^{\infty }(X,\mathbb{C})$. We obtain asymptotic results on the pseudo-spectrum and numerical range of such operators.

14 pages