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1.1 MATHMATICS

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.

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