What Hilbert spaces can tell us about bounded functions on the bidisk

TL;DR

This paper explores how Hilbert space theory provides insights into bounded analytic functions on the bidisk, highlighting connections between operator theory and function theory.

Contribution

It offers new perspectives on bounded functions on the bidisk through the lens of Hilbert space and operator theory techniques.

Findings

Operator theory characterizes bounded functions on the bidisk.

Hilbert space methods reveal structural properties of these functions.

Connections between function theory and operator models are established.

Abstract

We discuss various theorems about bounded analytic functions on the bidisk that were proved using operator theory.