Spectra of composition operators on Paley-Wiener spaces and some consequences

Bounded composition operators in Paley-Wiener spaces have simple forms, and they are just operators composed through affine mappings of the complex plane. The purpose of this article is to explore some notions about bounded operators and linear dynamics and provide complete answers for composition operators in Paley-Wiener spaces concerning compactness, spectrum, spectral radius, Li-Yorke chaos, positive expansivity, positive shadowing property, and absolute Cesàro boundedness.