Asymptotics of Chebyshev polynomials, II: DCT subsets of ℝ

Jacob S. Christiansen, Barry Simon, Peter Yuditskii, Maxim Zinchenko

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

We prove Szego[double acute]-Widom asymptotics for the Chebyshev polynomials of a compact subset of ℝ which is regular for potential theory and obeys the Parreau-Widom and DCT conditions.

Original languageEnglish
Pages (from-to)325-349
Number of pages25
JournalDuke Mathematical Journal
Volume168
Issue number2
DOIs
StatePublished - 1 Feb 2019
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2019.

Funding

Acknowledgments. J.S.C.’s research was supported in part by project grant DFF-4181-00502 from the Danish Council for Independent Research, B.S.’s research was supported in part by National Science Foundation grants DMS-1265592 and DMS-1665526 and in part by United States–Israel Binational Science Foundation grant 2014337, P.Y.’s research was supported by the Austrian Science Fund FWF, project P29363-N32, and M.Z.’s research was supported in part by Simons Foundation grant CGM-281971.

FundersFunder number
Austrian Science Fund FWFP29363-N32
National Science FoundationDMS-1665526, DMS-1265592, 1665526
Simons FoundationCGM-281971
Natur og Univers, Det Frie Forskningsråd
United States-Israel Binational Science Foundation2014337

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