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The size of irregular points for a measure. (English) Zbl 06083190
MSC:
42C05General theory of orthogonal functions and polynomials
References:
[1]A. Ancona, Démonstration d’une conjecture sur la capacité et l’effilement, C. R. Acad. Sci. Paris, 297 (1983), 393–395.
[2]E. Levin and D. S. Lubinsky, The size of the set of μ-irregular points of a measure μ, Acta Math. Hungar., 133 (2011), 242–250. · Zbl 1265.42090 · doi:10.1007/s10474-011-0091-5
[3]T. Ransford, Potential Theory in the Complex plane, Cambridge University Press (Cambridge, 1995).
[4]E. B. Saff and V. Totik, Logarithmic Potentials with External Fields, Grundlehren der mathematischen Wissenschaften, 316, Springer-Verlag (New York/Berlin, 1997).
[5]H. Stahl and V. Totik, General Orthogonal Polynomials, Encyclopedia of Mathematics and its Applications, 43, Cambridge University Press (Cambridge, 1992).
[6]M. Tsuji, Potential Theory in Modern Function Theory, Maruzen (Tokyo, 1959).
[7]J. L. Walsh, Interpolation and Approximation by Rational Functions in the Complex Domain, 3rd ed., Amer. Math. Soc. Colloquium Publications, XX, Amer. Math. Soc. (Providence, 1960).