|Date: Tuesday, April 11, 2006
Title: Applications of Modified Fredholm Determinants
Abstract: We recall that several familiar objects in applied and mathematical physics, such as Jost functions, Floquet discriminants, and Evans functions, are actually modified Fredholm determinants associated with appropriate Birman-Schwinger-type integral operators.
We will describe an abstract perturbation approach (essentially due to Kato) and some elements of the Birman-Schwinger principle in connection with non-self-adjoint operators in Hilbert space, and then discuss some recent applications to spectral and scattering theory in connection with two- and three-dimensional Schrodinger operators.
Speaker: Fritz Gesztesy
Institution: University of Missouri-Columbia