Bernstein-Szeg\”o measures on the two dimensional torus, Indiana Univ. Math. J. 57 No. 3 (2008), 1353–1376
This paper can also be found here.
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.
Update: In case anyone wants to use the symbols in the above paper, here is the metafont file, the style file, and a description of the symbols and commands (and how to use them).
