Coefficients of Orthogonal Polynomials on the Unit Circle and Higher Order Szegő Theorems

@inproceedings{Golinskii2005CoefficientsOO,
  title={Coefficients of Orthogonal Polynomials on the Unit Circle and Higher Order Szegő Theorems},
  author={Leonid Golinskii and Andrej Zlatos},
  year={2005}
}
Let μ be a non-trivial probability measure on the unit circle ∂D, w the density of its absolutely continuous part, αn its Verblunsky coefficients, and Φn its monic orthogonal polynomials. In this paper we compute the coefficients of Φn in terms of the αn. If the function log w is in L(dθ), we do the same for its Fourier coefficients. As an application we… CONTINUE READING