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Asymptotics of Chebyshev Polynomials, IV. Comments on the Complex Case

Christiansen, Jacob S. and Simon, Barry and Zinchenko, Maxim (2018) Asymptotics of Chebyshev Polynomials, IV. Comments on the Complex Case. . (Unpublished) http://resolver.caltech.edu/CaltechAUTHORS:20190501-093308068

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Abstract

We make a number of comments on Chebyshev polynomials for general compact subsets of the complex plane. We focus on two aspects: asymptotics of the zeros and explicit Totik--Widom upper bounds on their norms.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1812.10667arXivDiscussion Paper
ORCID:
AuthorORCID
Simon, Barry0000-0003-2561-8539
Additional Information:Research supported in part by Project Grant DFF-4181-00502 from the Danish Council for Independent Research. Research supported in part by NSF grants DMS-1265592 and DMS-1665526 and in part by Israeli BSF Grant No. 2014337. Research supported in part by Simons Foundation grant CGM-581256.
Funders:
Funding AgencyGrant Number
Danish Council for Independent ResearchDFF-4181-00502
NSFDMS-1265592
NSFDMS-1665526
Binational Science Foundation (USA-Israel)2014337
Simons FoundationCGM-581256
Subject Keywords:Chebyshev polynomials, Lemniscates, Zero Counting Measures, Totik–Widom upper bound
Classification Code:2010 Mathematics Subject Classification. 41A50, 30C80, 30C10
Record Number:CaltechAUTHORS:20190501-093308068
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20190501-093308068
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:95127
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:01 May 2019 18:32
Last Modified:01 May 2019 18:32

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