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A SYSTEM OF BIORTHOGONAL TRIGONOMETRIC POLYNOMIALS
The research was supported by Ministerio de Educación y Ciencia under grant number MTM2005-1320.
https://doi.org/10.1142/9789812770752_0006Cited by:3 (Source: Crossref)
Abstract:
In this paper we present a sequence of bi-orthogonal trigonometric polynomials, in the Szegő's sense, for which we study the usual topics in the orthogonal polynomial (OP) theory. In particular we obtain a new connection with OP on the unit circle and nice properties like: a five term recurrence relation with a Jacobi-type representation, a Favard's type theorem and a Christoffel-Darboux type formula.
