Padé Approximants, density of rational functions in $\bbb{A^\infty(\OO)}$ and smoothness of the integration operator

Vassili Nestoridis, Ilias Zadik

First we establish some generic universalities for Padé approximants in the closure $X^\infty(\OO)$ in $A^\infty(\OO)$ of all rational functions with poles off $\oO$, the closure t…