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ISSN 1088-6850(e) ISSN 0002-9947(p)

Christoffel functions on curves and domains

Author(s): Vilmos Totik
Journal: Trans. Amer. Math. Soc. 362 (2010), 2053-2087.
MSC (2000): Primary 26C05, 31A99, 41A10
Posted: November 18, 2009
MathSciNet review: 2574887
Retrieve article in: PDF

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Abstract: Asymptotics for Christoffel functions are established for measures supported on unions of smooth Jordan curves and for area-like measures on unions of smooth Jordan domains. For example, in the former case times the -th Christoffel function tends to the Radon-Nikodym derivative of the measure with respect to the equilibrium distribution of the support of the measure.

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