December 6, 2004
Daniel Alpay
Title: de Branges Rovnyak spaces in the quaternionic case
We first define Gleason's problem when the complex numbers are replaced by the quaternions and analytic functions by hyperanalytic functions. We then define de Branges Rovnyak spaces in this setting. We also discuss the notion of realization. This is a joint work with M. Shapiro (IPN, Mexico City) and Dan Volok (currently at TU Delft).