Christiansen, Jacob S. and Simon, Barry and Zinchenko, Maxim (2020) Asymptotics of Chebyshev Polynomials. IV. Comments on the Complex Case. Journal d'Analyse Mathématique, 141 (1). pp. 207-223. ISSN 0021-7670. doi:10.1007/s11854-020-0120-9. https://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.
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| Additional Information: | © 2020 Springer. Received 27 December 2018; Revised 04 February 2019; Published 12 November 2020. 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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| Subject Keywords: | Chebyshev polynomials, Lemniscates, Zero Counting Measures, Totik–Widom upper bound | ||||||||||||||
| Issue or Number: | 1 | ||||||||||||||
| Classification Code: | 2010 Mathematics Subject Classification. 41A50, 30C80, 30C10 | ||||||||||||||
| DOI: | 10.1007/s11854-020-0120-9 | ||||||||||||||
| Record Number: | CaltechAUTHORS:20190501-093308068 | ||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20190501-093308068 | ||||||||||||||
| Official Citation: | 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 | ||||||||||||||
| 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: | 16 Nov 2021 17:10 |
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