Composition Semigroups on Analytic Spaces of the Upper Half Plane

Explore the construction of strongly continuous semigroups of composition operators on analytic spaces of the upper half plane in this 30-minute mathematics lecture. Delve into the identification of infinitesimal generators and their spectra, leading to concrete representations of resolvents as integral operators. Learn how the theory of strongly continuous semigroups on Banach spaces is applied to deduce norm and spectral properties of the resulting integral operators. Presented by Job Bonyo from Multimedia University of Kenya, this ICTP Mathematics talk offers insights into advanced mathematical concepts and their applications.

Composition semigroup on some analytic spaces of the upper half plane