# Annemarie Luger: On Quasi-Herglotz functions

**Time: **
Wed 2022-03-30 13.15 - 14.15

**Location: **
Kräftriket, House 6, Room 306 and Zoom

**Video link: **
Meeting ID: 692 1892 7142

**Participating: **
Annemarie Luger (Stockholm University)

### Abstract

Herglotz–Nevanlinna functions, by definition functions that map the upper half-plane analytically into itself, are very well known and this set forms a cone.

The class of Quasi-Herglotz functions is then defined as the set of all linear combinations of Herglotz–Nevanlinna functions. Despite its simple definition this class exhibits interesting properties, which will be discussed.

This talk is based on joint work with Mitja Nedic.