Blaschke products and unwinding in higher dimensions
Complex Variables
2026-03-10 v1 Classical Analysis and ODEs
Abstract
We give a necessary and sufficient condition for the convergence of an infinite product of rational inner functions on the polydisk, and explore generalization to the polydisk of Malmquist- Takenaka bases and various versions of unwinding
Cite
@article{arxiv.2603.07258,
title = {Blaschke products and unwinding in higher dimensions},
author = {Ronald R. Coifman and Jacques Peyrière},
journal= {arXiv preprint arXiv:2603.07258},
year = {2026}
}