Szegő polynomials: a view from the Riemann-Hilbert window
Metadata
Show full item recordAuthor
Martínez-Finkelshtein, A.Editorial
Kent State University. Institute of Computational Mathematics
Materia
Zeros Asymptotics Riemann-Hilbert problem Szegő polynomials Verblunsky coefficients
Date
2006Referencia 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]
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.