Lecture Event

**Hahn-Holomorphic functions and their applications **

Alexander Strohmaier

16 Jul 2013, 15:15 – 15:45

Campus "Am Neuen Palais"

Haus 8, Raum 0.53

I will consider a class of functions that have convergent expansions near zero possibly containing terms of the form log(z) as well as non-rational powers of z. These functions have very similar properties as analytic functions. In particular I will show that a meromorphic Fredholm theorem holds in this context.

I will demonstrate that this is a powerful tool to study scattering theory in even dimensions. After a short introduction into some elementary constructions in scattering theory and I will show that results such as non-accumulation of resonances near zero are straightforward consequences of our Fredholm theorem.

Related to: