Fine Structure of the Zeros of Orthogonal Polynomials, II. OPUC With Competing Exponential Decay

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We present a complete theory of the asymptotics of the zeros of OPUC with Verblunsky coefficients $α_n = \sum_{\ell=1}^L C_\ell b_\ell^n + O((bΔ)^n)$ where $Δ<1$ and $\abs{b_\ell} = b<1$.
Keywords: orthogonal polynomials, Jacobi matrices, CMV matrices

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Spectral Theory, Primary 4C05; Secondary 47B36, 42C05

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http://salesiana.dossiersoluciones.com/handle/123456789/73273

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411392
 http://arxiv.org/abs/math/0411392

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arXiv