Widom Factors and Szegő-Widom Asymptotics, a Review

2021/12/13 by Christiansen, Jacob S., Simon, Barry, Zinchenko, Maxim
#30C10 #30C15 #30E15 #41A50 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2112.06450

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.

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