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Published July 2005 | Submitted
Journal Article Open

Fine structure of the zeros of orthogonal polynomials, II. OPUC with competing exponential decay

Abstract

We present a complete theory of the asymptotics of the zeros of OPUC with Verblunsky coefficients α_n = ∑_(ℓ=1)^L C_ℓb_ℓ^n + O((bΔ)^n) where Δ <1 and |b_ℓ|= b <1.

Additional Information

© 2005 Elsevier Inc. Received 19 November 2004, Revised 6 March 2005, Accepted 13 April 2005, Available online 16 June 2005. Communicated by Leonid Golinskii Supported in part by NSF grant DMS-0140592. I thank Percy Deift and Chuck Newman for the hospitality of the Courant Institute where some of this work was done.

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