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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.

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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
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URLURL TypeDescription Paper
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.
Funding AgencyGrant Number
Danish Council for Independent ResearchDFF-4181-00502
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
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:88623
Deposited By: Tony Diaz
Deposited On:07 Aug 2018 18:37
Last Modified:16 Nov 2021 00:28

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