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arXiv · 1911.10282

Titchmarsh-Weyl formula for the spectral density of a class of Jacobi matrices in the critical case

Serguei Naboko·Sergey Simonov
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Abstract

We consider a class of Jacobi matrices with unbounded entries in the so called critical (double root, Jordan box) case. We prove a formula for the spectral density of the matrix which relates its spectral density to the asymptotics of orthogonal polynomials associated with the matrix.

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Serguei Naboko, Sergey Simonov. 2019-11-22. Titchmarsh-Weyl formula for the spectral density of a class of Jacobi matrices in the critical case. https://arxiv.org/abs/1911.10282

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