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On a Two-Variable Class of Bernstein–Szeg? Measures |
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| Authors: | Antonia M Delgado Jeffrey S Geronimo Plamen Iliev Yuan Xu |
| Institution: | 1.Departamento de Estadística y Matemática Aplicada,Universidad de Almería,Almería,Spain;2.School of Mathematics,Georgia Institute of Technology,Atlanta,USA;3.Department of Mathematics,University of Oregon,Eugene,USA |
| Abstract: | The one-variable Bernstein–Szegő 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. |
| Keywords: | Bivariate orthogonal polynomials Bernstein– Szegő measures Recurrence coefficients |
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