Spectrum of hyperbolic and parabolic composition operators
Frédéric Bayart, Lucas Oger · HAL (Le Centre pour la Communication Scientifique Directe) · 2024
We compute the spectrum of a weighted composition operator induced by a hyperbolic or a parabolic symbol when it acts on the Fréchet space of holomorphic functions on the unit disc. We discuss situations where these results extend and do not extend to the unit ball.