Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Widom Factors and Szegő–Widom Asymptotics, a Review

Christiansen, Jacob S. LU ; Simon, Barry and Zinchenko, Maxim (2022) In Operator Theory: Advances and Applications 289. p.301-319
Abstract

We survey results on Chebyshev polynomials centered around the work of H. Widom. In particular, we discuss asymptotics of the polynomials and their norms and general upper and lower bounds for the norms. Several open problems are also presented.

Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Chebyshev polynomials, Szegő–Widom asymptotics, Totik–Widom upper bound, Widom factors
host publication
Operator Theory : Advances and Applications - Advances and Applications
series title
Operator Theory: Advances and Applications
volume
289
pages
19 pages
publisher
Springer Science and Business Media B.V.
external identifiers
  • scopus:85145823701
ISSN
0255-0156
2296-4878
DOI
10.1007/978-3-031-13851-5_14
language
English
LU publication?
yes
additional info
Publisher Copyright: © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
id
2c7cf47f-49fa-470e-b35a-6f92e38b66ae
date added to LUP
2025-07-11 12:33:58
date last changed
2025-10-17 22:11:35
@inbook{2c7cf47f-49fa-470e-b35a-6f92e38b66ae,
  abstract     = {{<p>We survey results on Chebyshev polynomials centered around the work of H. Widom. In particular, we discuss asymptotics of the polynomials and their norms and general upper and lower bounds for the norms. Several open problems are also presented.</p>}},
  author       = {{Christiansen, Jacob S. and Simon, Barry and Zinchenko, Maxim}},
  booktitle    = {{Operator Theory : Advances and Applications}},
  issn         = {{0255-0156}},
  keywords     = {{Chebyshev polynomials; Szegő–Widom asymptotics; Totik–Widom upper bound; Widom factors}},
  language     = {{eng}},
  pages        = {{301--319}},
  publisher    = {{Springer Science and Business Media B.V.}},
  series       = {{Operator Theory: Advances and Applications}},
  title        = {{Widom Factors and Szegő–Widom Asymptotics, a Review}},
  url          = {{http://dx.doi.org/10.1007/978-3-031-13851-5_14}},
  doi          = {{10.1007/978-3-031-13851-5_14}},
  volume       = {{289}},
  year         = {{2022}},
}