Abstract
We develop the potential theory needed for this monograph. This includes estimates for equilibrium densities, and their smoothness, and growth of associated potentials.
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References
Eli Levin and D. S. Lubinsky, Orthogonal Polynomials for Exponential Weights,Springer, New York, 2001.
D. S. Lubinsky, E. B. Saff, Strong Asymptotics for Extremal Polynomials Associated with Weights on \(\mathbb {R}\), Springer Lecture Notes in Mathematics, Vol. 1305, Springer, Berlin, 1988.
E. C. Titchmarsh, Fourier Integrals, Chelsea Publishing, New York, 1962
A. Zygmund, Trigonometric Series, Vols. 1,2, Second Paperback edition, Cambridge University Press, Cambridge, 1988.
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Levin, E., Lubinsky, D.S. (2018). Potential Theoretic Estimates. In: Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-72947-3_3
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DOI: https://doi.org/10.1007/978-3-319-72947-3_3
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