Analogs of the m-function in the theory of orthogonal polynomials on the unit circle

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摘要

We show that the multitude of applications of the Weyl–Titchmarsh m-function leads to a multitude of different functions in the theory of orthogonal polynomials on the unit circle that serve as analogs of the m-function.

论文关键词:m-function,Orthogonal polynomials,Verblunsky coefficients

论文评审过程:Received 1 October 2003, Accepted 19 January 2004, Available online 8 April 2004.

论文官网地址:https://doi.org/10.1016/j.cam.2004.01.022