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

  • Pavel Kurasov (a1) and Sergey Simonov (a2)

Abstract

The Schrödinger 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 λ ϵ ℂ+ and on the absolutely continuous spectrum is established. The Weyl—Titchmarsh-type formula for this operator is proven.

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

  • Pavel Kurasov (a1) and Sergey Simonov (a2)

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