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Weyl-Titchmarsh-type formula for periodic Schrodinger operator with Wigner-von Neumann potential

Kurasov, Pavel LU and Simonov, Sergey (2013) In Proceedings of the Royal Society of Edinburgh. Section A 143(2). p.401-425
Abstract
The Schrodinger 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 lambda is an element of C+ and on the absolutely continuous spectrum is established. The Weyl-Titchmarsh-type formula for this operator is proven.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Proceedings of the Royal Society of Edinburgh. Section A
volume
143
issue
2
pages
401 - 425
publisher
Royal Society of Edinburgh
external identifiers
  • wos:000324526300008
  • scopus:84875129593
ISSN
0308-2105
DOI
10.1017/S0308210510001666
language
English
LU publication?
yes
id
d7b2914d-708e-4c9d-9b9b-120ae74a328e (old id 4102018)
date added to LUP
2016-04-01 13:49:14
date last changed
2022-01-27 21:16:09
@article{d7b2914d-708e-4c9d-9b9b-120ae74a328e,
  abstract     = {{The Schrodinger 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 lambda is an element of C+ and on the absolutely continuous spectrum is established. The Weyl-Titchmarsh-type formula for this operator is proven.}},
  author       = {{Kurasov, Pavel and Simonov, Sergey}},
  issn         = {{0308-2105}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{401--425}},
  publisher    = {{Royal Society of Edinburgh}},
  series       = {{Proceedings of the Royal Society of Edinburgh. Section A}},
  title        = {{Weyl-Titchmarsh-type formula for periodic Schrodinger operator with Wigner-von Neumann potential}},
  url          = {{http://dx.doi.org/10.1017/S0308210510001666}},
  doi          = {{10.1017/S0308210510001666}},
  volume       = {{143}},
  year         = {{2013}},
}