74 citations · 214 across the 50 of their papers we have counts for
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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…
Homogeneous Besov spaces on stratified Lie groups and their wavelet characterization
Hartmut Führ, Azita Mayeli
We establish wavelet characterizations of homogeneous Besov spaces on stratified Lie groups, both in terms of continuous and discrete wavelet systems. We first introduce a notion o…
Introducing Mexican needlets for CMB analysis: Issues for practical applications and comparison with standard needlets
S. Scodeller, O. Rudjord, F. K. Hansen +3
Over the last few years, needlets have a emerged as a useful tool for the analysis of Cosmic Microwave Background (CMB) data. Our aim in this paper is first to introduce in the CMB…