Codes and Expansions (CodEx) Seminar

Eugenio Hernández (Universidad Autónoma de Madrid)
Spaces invariant under unitary representations and the bracket

Properties of the orbits of unitary representations of discrete groups can be described in terms of a single map, called the bracket. We well review these properties for translations and for the Gabor representation, as a background to show how these results can be extended to square integrable representations of countable discrete groups.