The Continuous Shearlet Transform in Arbitrary Space Dimensions

@article{Dahlke2008TheCS,
  title={The Continuous Shearlet Transform in Arbitrary Space Dimensions},
  author={Stephan Dahlke and Gabriele Steidl and Gerd Teschke},
  journal={Journal of Fourier Analysis and Applications},
  year={2008},
  volume={16},
  pages={340-364}
}
This paper is concerned with the generalization of the continuous shearlet transform to higher dimensions. Similar to the two-dimensional case, our approach is based on translations, anisotropic dilations and specific shear matrices. We show that the associated integral transform again originates from a square-integrable representation of a specific group, the full n-variate shearlet group. Moreover, we verify that by applying the coorbit theory, canonical scales of smoothness spaces and… 
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