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:

URL	URL Type	Description
https://doi.org/10.1007/978-3-030-31531-3_15	DOI	Article
https://arxiv.org/abs/1712.03482	arXiv	Discussion Paper

ORCID:

Author	ORCID
Simon, Barry	0000-0003-2561-8539

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 Agency	Grant Number
Danish Council for Independent Research	DFF-4181-00502
NSF	DMS-1265592
NSF	DMS-1665526
Binational Science Foundation (USA-Israel)	2014337
Simons Foundation	CGM-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

DOI:

10.1007/978-3-030-31531-3_15

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:

16 Nov 2021 00:28

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