Mitja Nedic: Characterization of Nevanlinna measures via the Fourier transform

Abstract.

In this talk, we are going discuss some the structural properties of Nevanlinna measures, i.e. Borel measures that arise in the integral representation of Herglotz-Nevanlinna functions. In particular, we are going to present a characterization of these measures in terms of their Fourier transform and characterize measures supported on hyperplanes including extremal measures. The talk is based on a joint publication with Eero Saksman.