Location
Brown Hall 100
Start Date
7-18-2016 11:00 AM
End Date
18-7-2016 11:30 AM
Description
The study of analytic semiflows on the open unit disc and the particular form of its infinitesimal generator $G$ makes possible the study of semigroups of composition operators $(T(t))_{t\geq 0}$ on various well-known spaces of holomorphic functions such as Hardy, Dirichlet and Bergman spaces. We will provide compactness, analyticity and invertibility complete characterization of $(T(t))_{t\geq 0}$ in terms of $G$.
Semiflow of analytic functions and semigroups of composition operators
Brown Hall 100
The study of analytic semiflows on the open unit disc and the particular form of its infinitesimal generator $G$ makes possible the study of semigroups of composition operators $(T(t))_{t\geq 0}$ on various well-known spaces of holomorphic functions such as Hardy, Dirichlet and Bergman spaces. We will provide compactness, analyticity and invertibility complete characterization of $(T(t))_{t\geq 0}$ in terms of $G$.