74 citations · 214 across the 50 of their papers we have counts for
4 papers · 1 filter
Decompositions of Generalized Wavelet Representations
B. Currey, A. Mayeli, V. Oussa
Let be a simply connected, connected nilpotent Lie group which admits a uniform subgroup Let be an automorphism of defined by We…
Regular Representations of Time-Frequency Groups
Azita Mayeli, Vignon Oussa
In this paper, we study the Plancherel measure of a class of non-connected nilpotent groups which is of special interest in Gabor theory. Let be a time-frequency group. More pr…
The orthonormal dilation property for abstract Parseval wavelet frames
by Bradley Currey, Azita Mayeli
In this work we introduce a class of discrete groups containing subgroups of abstract translations and dilations, respectively. A variety of wavelet systems can appear as $π(\G)ψ$,…
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…