Tobias Wöhrer: Asymptotic behaviour of the Weyl-function for one-dimensional Schrödinger operators with measure-valued potentials

We consider the Sturm-Liouville differential expression with measure-valued coefficients and introduce the m-Weyl-Titchmarsh function for self-adjoint realizations. We further look at the special case of the one-dimensional Schrödinger operator with measure-valued potential. In this case, we find the asymptotic behavior of the m-Weyl-Titchmarsh function for large z.