Orthogonal polynomials for the weakly equilibrium Cantor sets

DOI10.1090/proc/13025zbMath1347.42049arXiv1506.05734OpenAlexW3099059956MaRDI QIDQ2814400

Gökalp Alpan, Alexander P. Goncharov

Publication date: 22 June 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.05734

zbMATH Keywords

Chebyshev polynomialsorthogonal polynomialsJacobi matricesCantor setsequilibrium measure

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (7)

Orthogonal polynomials on generalized Julia sets ⋮ Some Asymptotics for Extremal Polynomials ⋮ Spacing properties of the zeros of orthogonal polynomials on Cantor sets via a sequence of polynomial mappings ⋮ Asymptotic Properties of Jacobi Matrices for a Family of Fractal Measures ⋮ Orthogonal polynomials associated with equilibrium measures on \(\mathbb {R}\) ⋮ Sharp lower bounds for the Widom factors on the real line ⋮ Szegő's condition on compact subsets of \(\mathbb{C}\)

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