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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73273We 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 matricesSpectral TheoryPrimary 4C05; Secondary 47B36, 42C05Fine Structure of the Zeros of Orthogonal Polynomials, II. OPUC With Competing Exponential Decaytext