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We consider measures supported on the bi-circle and review the recurrencerelations satisfied by the orthogonal polynomials associated with thesemeasures constructed using the lexicographical or reverse lexicographicalordering. New relations are derived among these recurrence coefficients. Weextend the results of [8] on a parameterization for Bernstein-Szego measuressupported on the bi-circle.

Parameters Associated with Bivariate Bernstein–Szegő Measures on the Bi-circle