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.