Fine structure of the zeros of orthogonal polynomials III: Periodic recursion coefficients

DOI10.1002/cpa.20106zbMath1129.42013arXivmath/0412336OpenAlexW2065463362MaRDI QIDQ5486265

Barry Simon

Publication date: 6 September 2006

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0412336

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (11)

Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ On the zeros of orthogonal polynomials on the unit circle ⋮ On orthogonal polynomials obtained via polynomial mappings ⋮ Spacing properties of the zeros of orthogonal polynomials on Cantor sets via a sequence of polynomial mappings ⋮ Asymptotics for polynomial zeros: Beware of predictions from plots ⋮ Two extensions of Lubinsky's universality theorem ⋮ Applications of universality limits to zeros and reproducing kernels of orthogonal polynomials ⋮ Critical points of orthogonal polynomials ⋮ Applications of a new formula for OPUC with periodic Verblunsky coefficients ⋮ Interlacing and spacing properties of zeros of polynomials, in particular of orthogonal and \(L_q\)-minimal polynomials, \(q\in [1,\infty \)] ⋮ Fine structure of the zeros of orthogonal polynomials. II: OPUC with competing exponential decay

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