Christian Emmel: Realizations of meromorphic functions of bounded type

Abstract

Realizations of analytic functions are a way of writing the function in terms of the resolvent of an self-adjoint relation acting on a Krein space (an indefinite inner product space). In this talk we consider the rather broad class of analytic functions that are meromorphic in the upper halfplane and of bounded type there. For these functions it is shown that there exists a realization in a Krein space.