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Asymptotics of Chebyshev Polynomials, III. Sets Saturating Szegő, Schiefermayr, and Totik--Widom Bounds

Christiansen, Jacob S. and Simon, Barry and Zinchenko, Maxim (2020) Asymptotics of Chebyshev Polynomials, III. Sets Saturating Szegő, Schiefermayr, and Totik--Widom Bounds. In: Analysis as a Tool in Mathematical Physics: In Memory of Boris Pavlov. Operator Theory: Advances and Applications. No.276. Springer , Cham, pp. 231-246. ISBN 978-3-030-31530-6. https://resolver.caltech.edu/CaltechAUTHORS:20180807-111909106

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Abstract

We determine which sets saturate the Szegő and Schiefermayr lower bounds on the norms of Chebyshev Polynomials. We also discuss sets that saturate our optimal Totik–Widom upper bound.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/978-3-030-31531-3_15DOIArticle
https://arxiv.org/abs/1712.03482arXivDiscussion Paper
ORCID:
AuthorORCID
Simon, Barry0000-0003-2561-8539
Additional Information:© 2020 Springer Nature Switzerland AG. First Online: 15 July 2020. J. S. Christiansen’s research supported in part by Project Grant DFF-4181-00502 from the Danish Council for Independent Research. B. Simon’s research supported in part by NSF grants DMS-1265592 and DMS-1665526 and in part by Israeli BSF Grant No. 2014337. M. Zinchenko’s research supported in part by Simons Foundation grant CGM–281971.
Funders:
Funding AgencyGrant Number
Danish Council for Independent ResearchDFF-4181-00502
NSFDMS-1265592
NSFDMS-1665526
Binational Science Foundation (USA-Israel)2014337
Simons FoundationCGM-281971
Subject Keywords:Chebyshev polynomials; Szegő lower bound; Schiefermayr lower bound; Totik–Widom upper bound
Series Name:Operator Theory: Advances and Applications
Issue or Number:276
Classification Code:2010 MSC: 41A50; 30C80; 30C10
Record Number:CaltechAUTHORS:20180807-111909106
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180807-111909106
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:88623
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:07 Aug 2018 18:37
Last Modified:22 Jul 2020 21:38

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