Sequences of orthogonal Laurent polynomials, bi-orthogonality and quadrature formulas on the unit circle
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摘要
In this paper, the construction of orthogonal bases in the space of Laurent polynomials on the unit circle is considered. As an application, a connection with the so-called bi-orthogonal systems of trigonometric polynomials is established and quadrature formulas on the unit circle based on Laurent polynomials are studied.
论文关键词：41A55,33C45,65D30,Orthogonal Laurent polynomials,Szegö polynomials,Quadratures,Bi-orthogonality,Para-orthogonality
论文评审过程：Received 3 May 2005, Revised 5 September 2006, Available online 30 October 2006.
论文官网地址：https://doi.org/10.1016/j.cam.2006.09.003
