-Coherent Pairs on the Unit Circle

Luis Garza, Francisco Marcellán and Natalia C. Pinzón-Cortés

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

Abstract:

A pair of Hermitian regular linear functionals on the unit circle is said to be a -coherent pair if their corresponding sequences of monic orthogonal polynomials and satisfy , , , where . In this contribution, we consider the cases when is the linear functional associated with the Lebesgue and Bernstein-Szegő measures, respectively, and we obtain a classification of the situations where is associated with either a positive nontrivial measure or its rational spectral transformation.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:307974

DOI: 10.1155/2013/307974

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