Asymptotics of the Weyl Function for Schrödinger Operators with Measure-Valued Potentials

Abstract

We derive an asymptotic expansion for the Weyl function of a one-dimensional Schrödinger operator which generalizes the classical formula by Atkinson. Moreover, we show that the asymptotic formula can also be interpreted in the sense of distributions.

10 pages

References in corpus (3)

• Weyl-Titchmarsh Theory for Sturm-Liouville Operators with Distributional Potentials
• Inverse Spectral Theory for Sturm-Liouville Operators with Distributional Potentials
• Supersymmetry and Schrödinger-type operators with distributional matrix-valued potentials