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.
AuthorCount:2;
Funding Agency:
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