Rational inner functions on the polydisk -- a survey
Functional Analysis
2025-02-20 v3 Complex Variables
Abstract
Rational inner functions are a generalization of finite Blaschke products to several variables. In this article we survey a variety of results about rational inner functions related to interpolation, sums of squares formulas, and boundary behavior. We mostly focus on two variables however in the final section we discuss higher dimensions.
Cite
@article{arxiv.2409.14604,
title = {Rational inner functions on the polydisk -- a survey},
author = {Greg Knese},
journal= {arXiv preprint arXiv:2409.14604},
year = {2025}
}
Comments
minor suggestions from referee incorporated, typo corrected in proof of Prop 2