Schur-Agler class rational inner functions on the tridisk

Abstract

We prove two results with regard to rational inner functions in the Schur-Agler class of the tridisk. Every rational inner function of degree (n,1,1) is in the Schur-Agler class, and every rational inner function of degree (n,m,1) is in the Schur-Agler class after multiplication by a monomial of sufficiently high degree.

12 pages

References in corpus (1)

• Rational inner functions in the Schur-Agler class of the polydisk

Cited by in corpus (4)

• Multivariate orthogonal polynomial and integrable systems
• Function theory on quotient domains related to the polydisc
• Determinantal representations of semi-hyperbolic polynomials
• Fundamental Agler Decompositions