Analysis Seminar: "Hilbert Spaces with Pick kernels and sets in complex hyperbolic space"

Abstract: There is a natural correspondence between the collection of Önite dimensional reproducing kernel Hilbert spaces with Pick kernels, modulo the equivalence relation of rescaling; and the collection of Önite sets in complex hyperbolic space, modulo isometric equivalence. I will deÖne those terms and describe the correspondence. I will discuss examples of analytic properties of the Hilbert spaces and corresponding geometric properties of the sets.

Host: John McCarthy