Title:
Function spaces and representations
Abstract:
We present a unified framework for construction of Banach spaces of
distributions from group representations, generalizing the construction by
H. Feichtinger and
K. H. Gröchenig in the 1980's. Spaces that can be described by this
technique include the whole Banach-scale of Bergman spaces and Besov
spaces on the light cone. The representation
theory and the geometry of the group can be used to give unified way to
give an atomic
decomposition of those spaces. |