On Steklov's conjecture in the theory of orthogonal polynomials

This paper constructs an example of a weight function $\rho(x)$ on the interval $[-1, 1]$, such that $\rho(x)\geqslant\delta > 0$, $x\in[-1, 1]$, whereas the corresponding sequence of orthonormal polynomials is unbounded at $0$.
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