Abstract
We prove a general result on equality of the weak limits of the zero counting measure, , of orthogonal polynomials (defined by a measure ) and . By combining this with the asymptotic upper bounds of Máté and Nevai [16] and Totik [33] on , we prove some general results on for the singular part of and , where is the density of the equilibrium measure and the density of
Citation
Barry Simon. "Weak convergence of CD kernels and applications." Duke Math. J. 146 (2) 305 - 330, 1 February 2009. https://doi.org/10.1215/00127094-2008-067
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