Asymptotics of Chebyshev Polynomials, II. DCT Subsets of $\mathbb{R}$

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

arxiv: 1709.06707 · v1 · pith:JCRLHZ73new · submitted 2017-09-20 · 🧮 math.CA

Asymptotics of Chebyshev Polynomials, II. DCT Subsets of mathbb{R}

Jacob S. Christiansen , Barry Simon , Peter Yuditskii , Maxim Zinchenko This is my paper

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keywords asymptoticschebyshevmathbbpolynomialscompactconditionsobeysparreau-widom

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We prove Szeg\H{o}-Widom asymptotics for the Chebyshev polynomials of a compact subset of $\mathbb{R}$ which is regular for potential theory and obeys the Parreau-Widom and DCT conditions.

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Asymptotics of Chebyshev Polynomials, II. DCT Subsets of mathbb{R}

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