Asymptotics of the Weyl function for Schrödinger operators with measure-valued potentials

Luger A, Teschl G, Wöhrer T (2016)

Publication Type: Journal article

Publication year: 2016

Journal

Monatshefte für Mathematik Springer Verlag (Germany)

Book Volume: 179

Pages Range: 603-613

Journal Issue: 4

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.

Authors with CRIS profile

Tobias Wöhrer Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

Involved external institutions

Universität Wien / University of Vienna AT Austria (AT) Stockholm University / Stockholms universitet SE Sweden (SE)

How to cite

APA:

Luger, A., Teschl, G., & Wöhrer, T. (2016). Asymptotics of the Weyl function for Schrödinger operators with measure-valued potentials. Monatshefte für Mathematik, 179(4), 603-613. https://doi.org/10.1007/s00605-015-0740-9

MLA:

Luger, Annemarie, Gerald Teschl, and Tobias Wöhrer. "Asymptotics of the Weyl function for Schrödinger operators with measure-valued potentials." Monatshefte für Mathematik 179.4 (2016): 603-613.

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