Weyl-Titchmarsh M-Function Asymptotics for Matrix-Valued Schrödinger Operators

Author

Stephen L. Clark, Missouri University of Science and TechnologyFollow
Fritz Gesztesy

Abstract

We explicitly determine the high‐energy asymptotics for Weyl-Titchmarsh matrices corresponding to matrix‐valued Schrödinger operators associated with general self‐adjoint m × m matrix potentials Q ∈ L¹_loc((x₀,∞))^{m x m}, where m ∈ N.

Recommended Citation

S. L. Clark and F. Gesztesy, "Weyl-Titchmarsh M-Function Asymptotics for Matrix-Valued Schrödinger Operators," Proceedings of the London Mathematical Society, vol. 82, no. 3, pp. 701 - 724, John Wiley & Sons, May 2001.

The definitive version is available at https://doi.org/10.1112/plms/82.3.701

Department(s)

Mathematics and Statistics

International Standard Serial Number (ISSN)

0024-6115; 1460-244X

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2001 John Wiley & Sons, All rights reserved.

Publication Date

01 May 2001