9 citations · 13 across the 6 of their papers we have counts for
7 papers
HRT Conjecture and Linear Independence of Translates on the Heisenberg Group
Brad Currey, Vignon Oussa
We prove that the HRT (Heil, Ramanathan, and Topiwala) conjecture is equivalent to the conjecture that finite translates of square-integrable functions on the Heisenberg group are…
A classification of continuous wavelet transforms in dimension three
Bradley Currey, Hartmut Führ, Vignon Oussa
This paper presents a full catalogue, up to conjugacy and subgroups of finite index, of all matrix groups that give rise to a continuous wavelet transf…
Integrable wavelet transforms with abelian dilation groups
Bradley Currey, Hartmut Führ, Keith Taylor
We consider a class of semidirect products , with a suitably chosen abelian matrix group. The choice of ensures that there is a wavelet inversio…
Shift-invariant spaces on SI/Z Lie groups
Bradley Currey, Azita Mayeli, Vignon Oussa
Given a simply connected nilpotent Lie group having unitary irreducible representations that are square-integrable modulo the center (SI/Z), we develop a notion of periodization on…
Admissibility For Monomial Representations of Exponential Lie Groups
Bradley Currey, Vignon Oussa
Let be a simply connected exponential solvable Lie group, a closed connected subgroup, and let be a representation of induced from a unitary character of .…
A Density Condition for Interpolation on the Heisenberg Group
Bradley Currey, Azita Mayeli
Let be the Heisenberg group. We consider left-invariant multiplicity free subspaces of . We prove a necessary and sufficient density condition in order that such subspa…