The Donoho-Stark uncertainty principle for a finite abelian group.
The Haar measure of certain sets in the Bohr group
The theory of reproducing systems on locally compact abelian groups
A reproducing system is a countable collection of functions such that a general function f can be decomposed as , with some control on the analyzing coefficients . Several such systems have been introduced very successfully in mathematics and its applications. We present a unified viewpoint in the study of reproducing systems on locally compact abelian groups G. This approach gives a novel characterization of the Parseval frame generators for a very general class of reproducing systems on L²(G)....
Transforms for Operators and Symplectic Automorphisms over a Locally Compact Abelian Group.