arXiv Open Access 2010

Weyl-Titchmarsh type formula for discrete Schroedinger operator with Wigner-von Neumann potential

Jan Janas Sergey Simonov

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Abstrak

We consider discrete Schroedinger operator J with Wigner-von Neumann potential not belonging to l^2. We find asymptotics of orthonormal polynomials associated to J. We prove the Weyl-Titchmarsh type formula, which relates the spectral density of J to a coefficient in asymptotics of orthonormal polynomials.

Topik & Kata Kunci

math.SP

Penulis (2)

Jan Janas

Sergey Simonov

Format Sitasi

APA MLA BibTeX

Janas, J., Simonov, S. (2010). Weyl-Titchmarsh type formula for discrete Schroedinger operator with Wigner-von Neumann potential. https://arxiv.org/abs/1003.3319

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Informasi Jurnal

Tahun Terbit: 2010
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓