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arXiv · 2605.22048

Spectra of generators of hyperbolic composition and weighted composition semigroups

Yong-Xin Gao·Ze-Hua Zhou
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Abstract

In this paper, we provide complete characterizations for the spectrum, essential spectrum, and point spectrum of the generators of weighted composition $C_0$-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.

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Yong-Xin Gao, Ze-Hua Zhou. 2026-05-21. Spectra of generators of hyperbolic composition and weighted composition semigroups. https://arxiv.org/abs/2605.22048

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