Anisotropic shearlet transforms for L2 (Rk)

In this paper, we present a new anisotropic generalization of the continuous shearlet transformation. This is achieved by means of an explicit construction of a family of reproducing Lie subgroups of the symplectic group. We study the properties of this new family of anisotropic shearlet transformations. In particular, we provide an analog of the Calderon admissibility condition for anisotropic shearlet reproducing functions.

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