Weak convergence of orthogonal polynomials
Classical Analysis and ODEs
2016-09-06 v1
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.
Cite
@article{arxiv.math/9401209,
title = {Weak convergence of orthogonal polynomials},
author = {Walter Van Assche},
journal= {arXiv preprint arXiv:math/9401209},
year = {2016}
}