A Weyl-Titchmarsh type formula for a discrete Schrödinger operator with Wigner-von Neumann potential
Jan Janas ; Sergey Simonov
Studia Mathematica, Tome 196 (2010), p. 167-189 / Harvested from The Polish Digital Mathematics Library
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We consider a discrete Schrödinger operator 𝒥 with Wigner-von Neumann potential not belonging to l². We find the asymptotics of orthonormal polynomials associated to 𝒥. We prove a Weyl-Titchmarsh type formula, which relates the spectral density of 𝒥 to a coefficient in the asymptotics of the orthonormal polynomials.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:285400 
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     year = {2010},
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Jan Janas; Sergey Simonov. A Weyl-Titchmarsh type formula for a discrete Schrödinger operator with Wigner-von Neumann potential. Studia Mathematica, Tome 196 (2010) pp. 167-189. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm201-2-4/