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Weak convergence of orthogonal polynomials

Walter Van Assche
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Abstract

The weak convergence of orthogonal polynomials is given under conditions on the asymptotic behaviour of the coefficients in the three-term recurrence relation. The results generalize known results and are applied to several systems of orthogonal polynomials, including orthogonal polynomials on a finite set of points.

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Walter Van Assche. 1994-01-21. Weak convergence of orthogonal polynomials. https://arxiv.org/abs/math/9401209

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