"Coorbit Spaces with Voice in a Frechet Space"
Dahlke, StephanThis talk is concerned with generalizations of the famous coorbit space theory developed by Feichtinger and Gröchenig. Based on a square-integrable group representation, this theory gives rise to canonical smoothness spaces where smoothness is measured by the decay of the associated voice transform. Moreover, by a careful discretization of the representation, Banach frames for the coorbit spaces can be obtained. The whole construction is based on certain integrability conditions on the reproducing kernel. In this talk, we discuss to which extent the coorbit approach can still be realized if this condition is violated.