The February 4, 2014 O.M.N.I. Talk: Newton Foster presents

Pseudohyperbolic Metric
on the Complex Unit Disk

Abstract: A pseudohyperbolic metric naturally arises in the analysis of complex function theory on the unit disk. We will explore some geometric properties of the pseudohyperbolic metric as well as make connections to classical function spaces. Finally, we will introduce the notion of the uniform densities and their connection to sampling and interpolation sequences.