Wavelets with composite dilations and their MRA properties

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Cyclic subspaces for unitary representations of LCA groups; generalized Zak transform (2010, background): “Also, in the theory of wavelets with composite dilations some of the spaces involved are invariant under operations with shear matrices ([6]).”
Sparse directional image representations using the discrete shearlet transform (2008, methodology): “Details about this can be found in [20].”
Optimally Sparse Multidimensional Representation Using Shearlets (2007, methodology): “We refer to [16] a discussion of these extensions, as well as the extensions of the shear transformations to the general multidimensional setting.”
The Theory of Wavelets with Composite Dilations (2006, background): “that each nontrivial orbit of A is dense in R, and this implies that there are no Parseval frame A-wavelets (see [ 9 ]) for more details).”
Fast Discrete Curvelet Transforms (2006, background): “The idea of using concentric squares and shears is also central to the construction of tight frames of “shearlets” by Guo, Kutyniok, Labate, Lim, Weiss, and Wilson in a recent series of papers [28, 29, 30] starting with [28].”