Szegő transformations and rational spectral transformations for associated polynomials
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摘要
In this contribution we analyze rational spectral transformations related to associated polynomials with respect to probability measures supported on the interval [−1, 1]. The connection with rational spectral transformations of measures supported on the unit circle using the Szegő transformation is presented.
论文关键词：42C05,15A23,Measures on the unit circle,Orthogonal polynomials,Associated polynomials,Carathéodory functions,Rational spectral transformations
论文评审过程：Received 25 January 2008, Available online 25 February 2009.
论文官网地址：https://doi.org/10.1016/j.cam.2009.02.041
