Szego polynomials: a view from the Riemann-Hilbert window
Classical Analysis and ODEs
2007-05-23 v3 Complex Variables
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.
Cite
@article{arxiv.math/0508117,
title = {Szego polynomials: a view from the Riemann-Hilbert window},
author = {A. Martinez-Finkelshtein},
journal= {arXiv preprint arXiv:math/0508117},
year = {2007}
}
Comments
23 pages, 7 figures; To appear in Elect. Trans. Num. Anal. Apparently, due to some missing .sty file, all integrals in version 2 were gone. Version 3 is a mere correction of this problem