3 citations · 4 across the 7 of their papers we have counts for
7 papers · 1 filter
Strictly positive definite functions on compact abelian groups
Jan Emonds, Hartmut Fuehr
We study the Fourier characterisation of strictly positive definite functions on compact abelian groups. Our main result settles the case , with $r \in \…
Simultaneous estimates for vector-valued Gabor frames of Hermite functions
Hartmut Fuehr
We derive frame estimates for vector-valued Gabor systems with window functions belonging to Schwartz space. The main result provides frame bound estimates for windows composed of…
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…
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…
Admissible vectors for the regular representation
Hartmut Fuehr
It is well known that for irreducible, square-integrable representations of a locally compact group, there exist so-called admissible vectors which allow the construction of genera…