Orthogonality relations for bivariate Bernstein-Szeg\H{o} measures
Complex Variables
2012-09-13 v1 Classical Analysis and ODEs
Functional Analysis
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.
Cite
@article{arxiv.1111.5658,
title = {Orthogonality relations for bivariate Bernstein-Szeg\H{o} measures},
author = {Jeffrey S. Geronimo and Plamen Iliev and Greg Knese},
journal= {arXiv preprint arXiv:1111.5658},
year = {2012}
}
Comments
15 pages, 3 figures