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.
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