Weyl-Titchmarsh-type formula for periodic Schrodinger operator with Wigner-von Neumann potential
2013 (English)In: Proceedings of the Royal Society of Edinburgh. Section A Mathematics, ISSN 0308-2105, E-ISSN 1473-7124, Vol. 143, no 2, 401-425 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2013. Vol. 143, no 2, 401-425 p.
IdentifiersURN: urn:nbn:se:su:diva-95095DOI: 10.1017/S0308210510001666ISI: 000324526300008OAI: oai:DiVA.org:su-95095DiVA: diva2:658559
Mathematics Department of the Lund Institute of Technology; Swedish Research Council 80525401; Chebyshev Laboratory (Department of Mathematics and Mechanics, Saint-Petersburg State University) of the Government of the Russian Federation 11.G34.31.0026; Erasmus Mundus Action 2 Programme of the European Union: RFBR-09-01-00515-a, INTAS-05-1000008-7883 2013-10-222013-10-212013-10-22Bibliographically approved