Weyl-Titchmarsh Type Formula for Periodic Schrodinger Operator with Wigner-von Neumann Potential

Authors

Sergey Simonov, Technological University DublinFollow
Pavel Kurasov, Stockholm University

Document Type

Article

Rights

This item is available under a Creative Commons License for non-commercial use only

Disciplines

1.1 MATHEMATICS

Publication Details

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 143, pp 401-425. doi:10.1017/S0308210510001666.

Abstract

Schroedinger operator on the half-line with periodic background potential perturbed by a certain potential of Wigner-von Neumann type is considered. The asymptotics of generalized eigenvectors for the values of the spectral parameter from the upper half-plane and on the absolutely continuous spectrum is established. Weyl-Titchmarsh type formula for this operator is proven.

DOI

http://doi.org10.1017/S0308210510001666.

Recommended Citation

Simonov, S., Kurasov, P. : (2013) Weyl-Titchmarsh Type Formula for Periodic Schrodinger Operator with Wigner-von Neumann Potential, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 143, pp 401-425. doi:10.1017/S0308210510001666.