Sharp eigenvalue asymptotics for fourth order operators on the circle

TL;DR

This paper derives the high energy asymptotics of eigenvalues for a fourth order differential operator on the circle, providing detailed spectral information.

Contribution

It offers new sharp eigenvalue asymptotics for fourth order operators on the circle, advancing spectral theory in this area.

Findings

Eigenvalues' asymptotic formulas established

High energy behavior characterized precisely

Spectral properties clarified for fourth order operators

Abstract

We determine high energy asymptotics of eigenvalues of fourth order operator on the circle.