Bernstein-Szegő measures on the two dimensional torus

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.

Changed title to match published version

References in corpus (1)

• Two Variable Orthogonal Polynomials on the Bi-circle and Structured Matrices

Cited by in corpus (9)

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• Polynomials with no zeros on a face of the bidisk
• A refined Agler decomposition and geometric applications
• Factoring Non-negative Operator Valued Trigonometric Polynomials in Two Variables
• Fundamental Agler Decompositions
• Stable and real-zero polynomials in two variables