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paper

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

arXiv:1412.0458 · doi:10.1007/s00605-015-0740-9

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