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arXiv 1712.03482math.CA
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Asymptotics of Chebyshev Polynomials, III. Sets Saturating SzegŐ, Schiefermayr, and Totik--Widom Bounds

Jacob S. Christiansen, Barry Simon, Maxim Zinchenko

备注：
Intended for the book "Analysis as a Tool in Mathematical Physics: in Memory of Boris Pavlov" to be published by Birkhäuser in the series Operator Theory: Advances and Applications
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英文摘要：

We determine which sets saturate the Szeg}o and Schiefermayr lower bounds on the norms of Chebyshev Polynomials. We also discuss sets that saturate the Totik--Widom upper bound.

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