Explicit a priori bounds on transfer operator eigenvalues

TL;DR

This paper derives explicit bounds on the eigenvalues of transfer operators using holomorphic data, aiding in understanding their spectral properties.

Contribution

It introduces a method to obtain explicit eigenvalue bounds for transfer operators based on holomorphic functions, which was not previously available.

Findings

Explicit eigenvalue bounds derived

Applicable to transfer operators with holomorphic data

Enhances spectral analysis of transfer operators

Abstract

We provide explicit bounds on the eigenvalues of transfer operators defined in terms of holomorphic data.