On perturbed orthogonal polynomials on the real line and the unit circle via Szegő’s transformation
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摘要
By using the Szegő’s transformation we deduce new relations between the recurrence coefficients for orthogonal polynomials on the real line and the Verblunsky parameters of orthogonal polynomials on the unit circle. Moreover, we study the relation between the corresponding S-functions and C-functions.
论文关键词：Szegő transformation,Co-polynomials,Spectral transformations,Transfer matrices
论文评审过程：Received 12 August 2016, Revised 18 November 2016, Accepted 9 January 2017, Available online 24 January 2017, Version of Record 24 January 2017.
论文官网地址：https://doi.org/10.1016/j.amc.2017.01.018
