Speaker
Hugo Woerdeman
(Drexel University)
Description
After a review of the reproducing kernel Banach space framework and semi-inner products, we apply the techniques to the settings of sequence spaces $\ell^p$ (including the finite dimensional case), the associated function space $\ell_A^p$, Hardy spaces $H^p$ and Bergman spaces $A^p$, $1<p<\infty$, on the unit ball in ${\mathbb C}^n$, as well as the Hardy space on the polydisk and half-space. In particular, we show how the framework leads to a procedure to find a minimal norm element $f$ satisfying interpolation conditions $f(z_j)=w_j$, $j=1,\ldots , n$. We also provide numerical examples.
This talk is based on joint works with Gilbert Groenewald, Sanne ter Horst and Eder Kikianty
Author
Hugo Woerdeman
(Drexel University)