Widom Factors and Szegő-Widom Asymptotics, a Review

Abstract

We survey results on Chebyshev polynomials centered around the work of H. Widom. In particular, we discuss asymptotics of the polynomials and their norms and general upper and lower bounds for the norms. Several open problems are also presented.

Intended for a Birkhauser book in honor of the memory of Harold Widom