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arxiv: 0710.0035 · v2 · pith:MMPHHWTXnew · submitted 2007-10-01 · 🧮 math.CA

On a two variable class of Bernstein-Szego measures

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keywords variablebernstein-szegoclassmeasuresorderingpolynomialscoefficientsconstructed
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The one variable Bernstein-Szego theory for orthogonal polynomials on the real line is extended to a class of two variable measures. The polynomials orthonormal in the total degree ordering and the lexicographical ordering are constructed and their recurrence coefficients discussed.

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