Gerald Teschl: Singular Weyl-Titchmarsh-Kodaira theory for Schrödinger operators with applications to inverse spectral and scattering theory
Gerald Teschl, University of Vienna
Time: Wed 2013-03-06 13.15 - 14.15
Location: Room 3721, Lindstedtsvägen 25, 7th floor, Department of mathematics, KTH
In this talk I will review singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Schrödinger operators which has been developed recently as an extension of the classical theory. Moreover, I will present some applications to inverse spectral theory including a local Borg-Marchenko type result as well as a Hochstadt-Lieberman type result which are applicable to (e.g.) perturbed spherical Schrödinger operators or to perturbed harmonic oscillators. Finally, I will discuss high-energy asymptotics and applications to scattering theory.
This is based on joint work (partly) with Jonathan Eckhardt, Aleksey Kostenko, and Alexander Sakhnovich.