Asymptotics for Christoffel Functions with Varying Weights

Author： Totik V.  

Publisher： Academic Press

ISSN： 0196-8858

Source： Advances in Applied Mathematics, Vol.25, Iss.4, 2000-11, pp. : 322-351

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Abstract

We prove sharp asymptotics for Christoffel functions λn(w2n, ⋅ ) with respect to varying weights w2n. The result has an interpretation in the theory of statistical-mechanical models of quantum systems, and it is sufficiently strong to yield asymptotics for Christoffel functions for weights defined on several intervals.

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