Spectra of generators of hyperbolic composition and weighted composition semigroups
Functional Analysis
2026-05-22 v1
Abstract
In this paper, we provide complete characterizations for the spectrum, essential spectrum, and point spectrum of the generators of weighted composition -semigroups induced by hyperbolic semiflows on Bergman spaces. We give an explicit example showing that the spectral properties can be influenced by the behavior of the semigroup near non-fixed self-contact points.
Keywords
Cite
@article{arxiv.2605.22048,
title = {Spectra of generators of hyperbolic composition and weighted composition semigroups},
author = {Yong-Xin Gao and Ze-Hua Zhou},
journal= {arXiv preprint arXiv:2605.22048},
year = {2026}
}