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

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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.

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Author information

Authors and Affiliations

  1. Centre for Mathematical Sciences, Lund University, 22100, Lund, Sweden

    Jacob S. Christiansen

  2. Departments of Mathematics and Physics, Mathematics 253-37, California Institute of Technology, Pasadena, CA, 91125, USA

    Barry Simon

  3. Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM, 87131, USA

    Maxim Zinchenko

Authors
  1. Jacob S. Christiansen
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  2. Barry Simon
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  3. Maxim Zinchenko
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Corresponding author

Correspondence to Barry Simon.

Additional information

Research supported in part by Project Grant DFF-4181-00502 from the Danish Council for Independent Research and by the Swedish Research Council (VR) Grant No. 2018-03500.

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.

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Christiansen, J.S., Simon, B. & Zinchenko, M. Asymptotics of Chebyshev Polynomials. IV. Comments on the Complex Case. JAMA 141, 207–223 (2020). https://doi.org/10.1007/s11854-020-0120-9

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  • DOI: https://doi.org/10.1007/s11854-020-0120-9

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