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Please use this identifier to cite or link to this item: http://hdl.handle.net/10481/32691

Title: Szegő polynomials: a view from the Riemann-Hilbert window
Authors: Martínez-Finkelshtein, A.
Issue Date: 2006
Abstract: This is an expanded version of the talk given at the conference “Constructive Functions Tech-04”. We survey some recent results on canonical representation and asymptotic behavior of polynomials orthogonal on the unit circle with respect to an analytic weight. These results are obtained using the steepest descent method based on the Riemann-Hilbert characterization of these polynomials.
Publisher: Kent State University. Institute of Computational Mathematics
Keywords: Zeros
Asymptotics
Riemann-Hilbert problem
Szegő polynomials
Verblunsky coefficients
URI: http://hdl.handle.net/10481/32691
ISSN: 1068-9613
Rights : Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License
Citation: Martínez-Finkelshtein, A. Szegő polynomials: a view from the Riemann-Hilbert window. Electronic Transactions on Numerical Analysis, 256: 369-392 (2006). [http://hdl.handle.net/10481/32691]
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