Asymptotics of Chebyshev polynomials, II: DCT subsets of ℝ

Jacob S. Christiansen; Barry Simon; Peter Yuditskii; Maxim Zinchenko

doi:10.1215/00127094-2018-0045

Asymptotics of Chebyshev polynomials, II: DCT subsets of ℝ

Jacob S. Christiansen, Barry Simon, Peter Yuditskii, Maxim Zinchenko

Mathematics (Faculty of Engineering)

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	325-349
Number of pages	25
Journal	Duke Mathematical Journal
Volume	168
Issue number	2
DOIs	https://doi.org/10.1215/00127094-2018-0045
Publication status	Published - 2019

Subject classification (UKÄ)

Mathematical Sciences

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10.1215/00127094-2018-0045

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title = "Asymptotics of Chebyshev polynomials, II: DCT subsets of ℝ",

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.",

author = "Christiansen, {Jacob S.} and Barry Simon and Peter Yuditskii and Maxim Zinchenko",

year = "2019",

doi = "10.1215/00127094-2018-0045",

language = "English",

volume = "168",

pages = "325--349",

journal = "Duke Mathematical Journal",

issn = "0012-7094",

publisher = "Duke University Press",

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T1 - Asymptotics of Chebyshev polynomials, II

T2 - DCT subsets of ℝ

AU - Christiansen, Jacob S.

AU - Simon, Barry

AU - Yuditskii, Peter

AU - Zinchenko, Maxim

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

U2 - 10.1215/00127094-2018-0045

DO - 10.1215/00127094-2018-0045

M3 - Article

AN - SCOPUS:85061735944

SN - 0012-7094

VL - 168

SP - 325

EP - 349

JO - Duke Mathematical Journal

JF - Duke Mathematical Journal

IS - 2

ER -

Asymptotics of Chebyshev polynomials, II: DCT subsets of ℝ

Abstract

Subject classification (UKÄ)

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