Analysis Seminar: "Finite Dimensional Reproducing Kernel Hilbert Spaces"

Organizer: John McCarthy

Abstract:  There is a natural correspondence between (equivalence classes) of n-dimensional spaces with complete Pick kernels and (equivalence classes) of n-point sets in complex hyperbolic space. I will describe the general case of this correspondence and will elaborate on the details for very small n. I will also discuss the relation between those objects and the associated multiplier algebra.  I will point out some open questions which I think are interesting.