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arxiv: 1111.5658 · v1 · pith:4VVR54XVnew · submitted 2011-11-24 · 🧮 math.CV · math.CA· math.FA

Orthogonality relations for bivariate Bernstein-SzegH{o} measures

classification 🧮 math.CV math.CAmath.FA
keywords measuresorthogonalityrelationsbernstein-szegbivariateassociatedcertainchristoffel-darboux
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The orthogonality properties of certain subspaces associated with bivariate Bernstein-Szeg\H{o} measures are considered. It is shown that these spaces satisfy more orthogonality relations than expected from the relations that define them. The results are used to prove a Christoffel-Darboux like formula for these measures.

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