Asymptotics for Christoffel functions with varying weights

DOI10.1006/aama.2000.0698zbMath0970.42016OpenAlexW2022082326MaRDI QIDQ1841174

Vilmos Totik

Publication date: 3 October 2001

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aama.2000.0698

zbMATH Keywords

asymptoticsorthogonal polynomialslogarithmic potentialsFreud weightsChristoffel functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (11)

An update on local universality limits for correlation functions generated by unitary ensembles ⋮ Orthogonal polynomials for weights close to indeterminacy ⋮ Edge statistics for a class of repulsive particle systems ⋮ Universality for conditional measures of the sine point process ⋮ The Nevai condition and a local law of large numbers for orthogonal polynomial ensembles ⋮ A Christoffel function weighted least squares algorithm for collocation approximations ⋮ A tribute to Géza Freud ⋮ Asymptotics of \(L^p\) Christoffel functions ⋮ Local limits for orthogonal polynomials for varying measures via universality ⋮ Universality limits in the bulk for varying measures ⋮ Asymptotics for Christoffel functions of planar measures

Cites Work

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• On the universality of the level spacing distribution for some ensembles of random matrices
• Strong asymptotics for extremal polynomials associated with weights on \({\mathbb{R}}\)
• Weighted polynomial approximation for weights with slowly varying extremal density
• Weighted approximation with varying weight
• Asymptotics for Christoffel functions for general measures on the real line
• On the statistical mechanics approach in the random matrix theory: Integrated density of states.
• A class of orthogonal polynomials
• Markov's property of the Cantor ternary set

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