# Sampling Spaces

Sigrid Bettina Heineken

given at  strobl07 (17.06.07)
id:  741
length:  min
status:  accepted
type:  poster
We consider the sampling problem in shift invariant spaces of $L^2(\R),$ generated by functions which integer translates are a frame for the space. In particular we study sampling spaces. We characterize the functions that belong to sampling spaces and we obtain atomic decompositions of these spaces in sampling subspaces.