Szegő polynomials: a view from the Riemann-Hilbert window

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URI: http://hdl.handle.net/10481/32691
ISSN: 1068-9613
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Autor
Martínez-Finkelshtein, A.
Editorial
Kent State University. Institute of Computational Mathematics
Materia
Zeros
 
Asymptotics
 
Riemann-Hilbert problem
 
Szegő polynomials
 
Verblunsky coefficients
 
Fecha
2006
Referencia bibliográfica
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]
Resumen
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.
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