3 citations · 4 across the 4 of their papers we have counts for
5 papers
Sampling theorems on locally compact groups from oscillation estimates
Hartmut Fuehr, Karlheinz Groechenig
We present a general approach to derive sampling theorems on locally compact groups from oscillation estimates. We focus on the -stability of the sampling operator by us…
Hausdorff-Young inequalities for nonunimodular groups
Hartmut Fuehr
The paper studies Hausdorff-Young inequalities for certain group extensions, by use of Mackey's theory. We consider the case in which the dual action of the quotient group is free…
Admissible vectors and traces on the commuting algebra
Hartmut Fuehr
Given a representation of a unimodular locally compact group, we discuss criteria for associated coherent state expansions in terms of the commuting algebra. It turns out that for…
Plancherel transform criteria for Weyl-Heisenberg frames with integer oversampling
Hartmut Fuehr
We investigate the relevance of admissibility criteria based on Plancherel measure for the characterization of tight Weyl-Heisenberg frames with integer oversampling. For this purp…
Sampling theorems for the Heisenberg groups
Hartmut Fuehr
In the first part of the paper a general notion of sampling expansions for locally compact groups is introduced, and its close relationship to the discretisation problem for genera…