Function theory on the Neil parabola

The paper “Function theory on the Neil parabola” has appeared in print. Here is a link to the project euclid page for it:

Function theory on the Neil parabola

Better yet, you can find it here.  It should be cited something like:

Greg Knese, Function theory on the Neil parabola, Michigan Math. J., Vol. 55, Issue 1 (2007), 139-154.

Abstract: In this paper, we compute the Caratheodory distance on the Neil parabola, namely the set , making it the first nontrivial computation of this important (biholomorphically) invariant metric for a variety with a singularity. In addition, we compute the Caratheodory metric for the Neil parabola, relate the above computations to a certain bounded analytic interpolation problem for which known theorems do not apply, and present a bounded analytic extension result for functions on the Neil parabola to the bidisk.

Update:

Some of the formulas in this paper have been generalized to varieties of the form in the preprint:

Invariant metrics and distances on generalized Neil parabolas

Authors: Nikolai Nikolov, Peter Pflug