B. Currey

activity

20092018

most citedIntegrable wavelet transforms with abelian dilation groups

9 citations · 13 across the 6 of their papers we have counts for

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4 papers · 1 filter

math.RT2018★ 1 cited

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…

math.RT2015★ 9 cited

Integrable wavelet transforms with abelian dilation groups

Bradley Currey, Hartmut Führ, Keith Taylor

We consider a class of semidirect products $G = R^{n} ⋊ H$ , with $H$ a suitably chosen abelian matrix group. The choice of $H$ ensures that there is a wavelet inversio…

math.RT2011

Admissibility For Monomial Representations of Exponential Lie Groups

Bradley Currey, Vignon Oussa

Let $G$ be a simply connected exponential solvable Lie group, $H$ a closed connected subgroup, and let $τ$ be a representation of $G$ induced from a unitary character $χ_{f}$ of $H$ .…

math.RT2010

A Density Condition for Interpolation on the Heisenberg Group

Bradley Currey, Azita Mayeli

Let $N$ be the Heisenberg group. We consider left-invariant multiplicity free subspaces of $L^{2} (N)$ . We prove a necessary and sufficient density condition in order that such subspa…