Asymptotics of Chebyshev polynomials, II: DCT subsets of R

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

Type: Article

Publication Date: 2019-01-09

Citations: 16

DOI: https://doi.org/10.1215/00127094-2018-0045

Abstract

We prove Szegő-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.

Locations

Duke Mathematical Journal - View
CaltechAUTHORS (California Institute of Technology) - View - PDF

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Works Cited by This (28)

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+	Potential Theory in the Complex Plane	1995	Thomas Ransford
+	Almost periodic functions	1968	C. Corduneanu N. Gheorghiu
+	Approximation of functions	2017	George G. Lorentz
+	Chebyshev constants and the inheritance problem	2008	Вилмос Тотик
+ PDF Chat	Invariant subspaces on Riemann surfaces of Parreau-Widom type	1983	Mikihiro Hayashi
+	Bounded analytic functions	1947	Lars V. Ahlfors
+	Extremal polynomials associated with a system of curves in the complex plane	1969	Harold Widom
+	Almost periodic Jacobi matrices with homogeneous spectrum, infinite dimensional Jacobi inversion, and hardy spaces of character-automorphic functions	1997	Mikhail Sodin Peter Yuditskii
+ PDF Chat	On Schwarz’s lemma and inner functions	1969	Stephen D. Fisher
+	Introduction to Approximation Theory	1969	T. J. Rivlin E. W. Cheney