# On the pseudospectra of Schr\"odinger operators on Zoll manifolds

## TL;DR

This paper studies the pseudospectra of non-self-adjoint Schr"odinger operators on Zoll manifolds, providing asymptotic descriptions of their pseudo-spectrum and numerical range.

## Contribution

It offers new asymptotic results on the pseudo-spectrum and numerical range for Schr"odinger operators on Zoll manifolds, extending understanding of their spectral properties.

## Key findings

- Asymptotic descriptions of the pseudo-spectrum
- Analysis of the numerical range of these operators
- Extension of spectral theory to Zoll manifolds

## Abstract

We consider non-self-adjoint Schr\"odinger 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.