Widom Factors and Szeg\H{o}-Widom Asymptotics, a Review
Classical Analysis and ODEs
2021-12-14 v1
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.
Cite
@article{arxiv.2112.06450,
title = {Widom Factors and Szeg\H{o}-Widom Asymptotics, a Review},
author = {Jacob S. Christiansen and Barry Simon and Maxim Zinchenko},
journal= {arXiv preprint arXiv:2112.06450},
year = {2021}
}
Comments
Intended for a Birkhauser book in honor of the memory of Harold Widom