Connections between interval and unit circle for Sobolev orthogonal polynomials. Strong asymptotics on the real line (Q1776817)

It is well known the connection between orthogonal polynomials on the unit circle and those on a real interval via the Szegő transformation. The authors observe that this idea can be carried over to the so-called Sobolev orthogonality. In this way they are also able to improve some known asymptotic results for Sobolev orthogonal polynomials on an interval, allowing for a wider class of measures for which these results are valid.