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arXiv · 0710.0035

On a two variable class of Bernstein-Szego measures

Antonia M. Delgado·Jeffrey S. Geronimo·Plamen Iliev·Yuan Xu
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Abstract

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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Antonia M. Delgado, Jeffrey S. Geronimo, Plamen Iliev, Yuan Xu. 2007-10-01. On a two variable class of Bernstein-Szego measures. https://doi.org/10.1007/s00365-008-9022-2

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