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Asymptotics of Chebyshev polynomials, II : DCT subsets of ℝ

Christiansen, Jacob S. LU ; Simon, Barry ; Yuditskii, Peter and Zinchenko, Maxim (2019) In Duke Mathematical Journal 168(2). p.325-349
Abstract

We prove Szego[double acute]-Widom asymptotics for the Chebyshev polynomials of a compact subset of ℝ which is regular for potential theory and obeys the Parreau-Widom and DCT conditions.

Please use this url to cite or link to this publication:
author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Duke Mathematical Journal
volume
168
issue
2
pages
25 pages
publisher
Duke University Press
external identifiers
  • scopus:85061735944
ISSN
0012-7094
DOI
10.1215/00127094-2018-0045
language
English
LU publication?
yes
id
ade06a63-d8cc-4b9e-a2bb-23d42201eb91
date added to LUP
2019-02-26 08:07:35
date last changed
2025-10-14 10:10:53
@article{ade06a63-d8cc-4b9e-a2bb-23d42201eb91,
  abstract     = {{<p>We prove Szego[double acute]-Widom asymptotics for the Chebyshev polynomials of a compact subset of ℝ which is regular for potential theory and obeys the Parreau-Widom and DCT conditions.</p>}},
  author       = {{Christiansen, Jacob S. and Simon, Barry and Yuditskii, Peter and Zinchenko, Maxim}},
  issn         = {{0012-7094}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{325--349}},
  publisher    = {{Duke University Press}},
  series       = {{Duke Mathematical Journal}},
  title        = {{Asymptotics of Chebyshev polynomials, II : DCT subsets of ℝ}},
  url          = {{http://dx.doi.org/10.1215/00127094-2018-0045}},
  doi          = {{10.1215/00127094-2018-0045}},
  volume       = {{168}},
  year         = {{2019}},
}