Green equilibrium measures and representations of an external field

DOI10.1006/jath.2001.3618zbMath0987.31004OpenAlexW2062062747MaRDI QIDQ5957493

A. L. Levin, Doron S. Lubinsky

Publication date: 16 June 2002

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2001.3618

zbMATH Keywords

orthogonal polynomialsrational functionsexternal fieldGreen capacityGreen equilibrium measuresGreen potentials

Mathematics Subject Classification ID

Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (3)

Extremal rational functions on symmetric discrete sets and superlinear convergence of the ADI method ⋮ Equilibrium problems for vector potentials with semidefinite interaction matrices and constrained masses ⋮ Convergence analysis of approximation formulas for analytic functions via duality for potential energy minimization

Cites Work

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• On the finite-gap ansatz in the continuum limit of the Toda lattice
• Fast decreasing rational functions
• Superlinear Convergence of Conjugate Gradients
• Sharp estimates for the maximum over minimum modulus of rational functions
• Generic behavior of the density of states in random matrix theory and equilibrium problems in the presence of real analytic external fields
• Families of equilibrium measures in an external field on the real axis

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