Christiansen, Jacob S. and Simon, Barry and Yuditskii, Peter and Zinchenko, Maxim (2019) Asymptotics of Chebyshev Polynomials, II. DCT Subsets of ℝ. Duke Mathematical Journal, 168 (2). pp. 325-349. ISSN 0012-7094. doi:10.1215/00127094-2018-0045. https://resolver.caltech.edu/CaltechAUTHORS:20180807-124147489
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Abstract
We prove Szegő–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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| Additional Information: | © 2019 Duke University Press. Received 19 March 2018. Revision received 27 August 2018. First published online 9 January 2019. 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. | ||||||||||||||
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| Subject Keywords: | Chebyshev polynomials, Widom conjecture, Parreau–Widom set, Direct Cauchy Theorem, Totik–Widom bound | ||||||||||||||
| Issue or Number: | 2 | ||||||||||||||
| Classification Code: | 2010 Mathematics Subject Classification: Primary 41A50; Secondary 30E15, 30C10 | ||||||||||||||
| DOI: | 10.1215/00127094-2018-0045 | ||||||||||||||
| Record Number: | CaltechAUTHORS:20180807-124147489 | ||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180807-124147489 | ||||||||||||||
| Official Citation: | Christiansen, Jacob S.; Simon, Barry; Yuditskii, Peter; Zinchenko, Maxim. Asymptotics of Chebyshev polynomials, II: DCT subsets of R. Duke Math. J. 168 (2019), no. 2, 325--349. doi:10.1215/00127094-2018-0045. https://projecteuclid.org/euclid.dmj/1547024421 | ||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||
| ID Code: | 88624 | ||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||||
| Deposited On: | 07 Aug 2018 19:50 | ||||||||||||||
| Last Modified: | 16 Nov 2021 00:28 |
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