Orthogonality relations for bivariate Bernstein-Szegő measures

Abstract

The orthogonality properties of certain subspaces associated with bivariate Bernstein-Szegő 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.

15 pages, 3 figures

References in corpus (1)

• Polynomials with no zeros on the bidisk

Cited by in corpus (2)

• Polynomials with no zeros on a face of the bidisk
• Fejér-Riesz factorizations and the structure of bivariate polynomials orthogonal on the bi-circle