# Szego and Widom Theorems for the Neil Algebra

## TL;DR

This paper extends classical Szego and Widom theorems to the Neil algebra, a subalgebra of bounded analytic functions with derivative zero at the origin, advancing operator theory in this specialized context.

## Contribution

It establishes versions of Szego and Widom theorems specifically for the Neil algebra, a new setting in function theoretic operator theory.

## Key findings

- Szego theorem adapted for Neil algebra
- Widom theorem extended to Neil algebra
- New operator theoretic results for Neil algebra

## Abstract

Versions of well known function theoretic operator theory results of Szego and Widom are established for the Neil algebra. The Neil algebra is the subalgebra of the algebra of bounded analytic functions on the unit disc consisting of those functions whose derivative vanishes at the origin.