Explicit formulas for OPUC and POPUC associated with measures which are simple modifications of the Lebesgue measure
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摘要
We consider nontrivial probability measures, obtained as simple modifications of the Lebesgue measure, which include mass points at z=1 and z=i. The orthogonal polynomials, para-orthogonal polynomials and Toeplitz matrices associated with these measures are presented.
论文关键词：Orthogonal polynomials on the unit circle,Para-orthogonal polynomials,Chain sequences
论文评审过程：Received 10 December 2014, Revised 17 September 2015, Accepted 19 September 2015, Available online 12 November 2015, Version of Record 12 November 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2015.09.067
