Orthogonality relations for bivariate Bernstein-Szeg\H{o} measures
Jeffrey S. Geronimo, Plamen Iliev, Greg Knese
TL;DR
This paper explores the orthogonality properties of subspaces related to bivariate Bernstein-Szeg ext{o} measures, revealing more relations than previously known and deriving a Christoffel-Darboux type formula.
Contribution
It uncovers additional orthogonality relations for these measures and establishes a new Christoffel-Darboux like formula, advancing theoretical understanding.
Findings
More orthogonality relations than expected
Derived a Christoffel-Darboux like formula
Enhanced theoretical framework for bivariate measures
Abstract
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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