Early stage researcher
Current Research on Operator Theory and Function Spaces
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Research groups and research projects
Complex Analysis, or Complex Function Theory, is a field of mathematics which studies analytic or meromorphic functions, integration and mappings in the complex plane or its subsets.
Research on operator theory concentrates on concrete operators such as the Bergman projection, Toeplitz, Hilbert, integral and composition operators acting on spaces of analytic functions in the unit disc employing harmonic and functional analysis. In function spaces the main focus lies on small Bergman spaces whose harmonic analysis is somewhat similar to that of the Hardy spaces and is therefore challenging compared to the case of standard Bergman spaces.