Christoffel functions on curves and domains

By Vilmos Totik. 2009

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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 n times the n-th Christoffel function tends to the Radon-Nikodym derivative of the measure with respect to the equilibrium distribution of the support of the measure.

Subfields: Applied Mathematics, Geometry and Topology

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