The Continuous Shearlet Transform in Arbitrary Space Dimensions

@article{Dahlke2008TheCS,
  title={The Continuous Shearlet Transform in Arbitrary Space Dimensions},
  author={S. Dahlke and G. Steidl and G. Teschke},
  journal={Journal of Fourier Analysis and Applications},
  year={2008},
  volume={16},
  pages={340-364}
}
  • S. Dahlke, G. Steidl, G. Teschke
  • Published 2008
  • Mathematics, Computer Science
  • Journal of Fourier Analysis and Applications
  • 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… CONTINUE READING
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