Bernstein-Szeg\H{o} measures on the two dimensional torus
Functional Analysis
2022-03-04 v2 Classical Analysis and ODEs
Complex Variables
Abstract
We present a new viewpoint (namely, reproducing kernels) and new proofs for several recent results of J. Geronimo and H. Woerdeman on orthogonal polynomials on the two dimenional torus (and related subjects). In addition, we show how their results give a new proof of Ando's inequality via an equivalent version proven by Cole and Wermer. A simple necessary and sufficient condition for two variable polynomial stability is also given.
Cite
@article{arxiv.math/0702203,
title = {Bernstein-Szeg\H{o} measures on the two dimensional torus},
author = {Greg Knese},
journal= {arXiv preprint arXiv:math/0702203},
year = {2022}
}
Comments
Changed title to match published version