Explicit formulas for OPUC and POPUC associated with measures which are simple modifications of the Lebesgue measure

Cleonice F. Bracciali, Jairo S. Silva and A. Sri Ranga

Applied Mathematics and Computation, 2015, vol. 271, issue C, 820-831

Abstract: 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.

Keywords: Orthogonal polynomials on the unit circle; Para-orthogonal polynomials; Chain sequences (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:271:y:2015:i:c:p:820-831

DOI: 10.1016/j.amc.2015.09.067

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