Asymptotics of Chebyshev polynomials, II: DCT subsets of ℝ

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

doi:10.1215/00127094-2018-0045

Asymptotics of Chebyshev polynomials, II: DCT subsets of ℝ

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

Lund University
California Institute of Technology
Johannes Kepler University Linz
University of New Mexico

Research output: Contribution to journal › Article › peer-review

17 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 language	English
Pages (from-to)	325-349
Number of pages	25
Journal	Duke Mathematical Journal
Volume	168
Issue number	2
DOIs	https://doi.org/10.1215/00127094-2018-0045
State	Published - 1 Feb 2019
Externally published	Yes

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.

Funders	Funder number
Austrian Science Fund FWF	P29363-N32
National Science Foundation	DMS-1665526, DMS-1265592, 1665526
Simons Foundation	CGM-281971
Natur og Univers, Det Frie Forskningsråd
United States-Israel Binational Science Foundation	2014337

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10.1215/00127094-2018-0045

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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.",

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Asymptotics of Chebyshev polynomials, II: DCT subsets of ℝ

Abstract

Bibliographical note

Funding

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