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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 (Unpublished)

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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 Paper
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.
Funding AgencyGrant Number
Danish Council for Independent ResearchDFF-4181-00502
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:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:95127
Deposited By: Tony Diaz
Deposited On:01 May 2019 18:32
Last Modified:09 Jan 2020 19:33

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