English

Schur-Agler class rational inner functions on the tridisk

Functional Analysis 2013-02-06 v1 Complex Variables

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.

Cite

@article{arxiv.1010.0715,
  title  = {Schur-Agler class rational inner functions on the tridisk},
  author = {Greg Knese},
  journal= {arXiv preprint arXiv:1010.0715},
  year   = {2013}
}

Comments

12 pages

R2 v1 2026-06-21T16:23:40.194Z