Clifford Analysis and the Continuous Spherical Wavelet Transform

We present a group-theoretical approach for the continuous wavelet transform on the sphere S n−1, based on the Lorentz group Spin(1, n) (the conformal group of the unit sphere). We introduce transformations on the sphere based on the decomposition of the group Spin(1, n) into the maximal compact subgroup of rotations (Spin(n)) and the set of Möbius transformations in ℝn of the form ϕ a (x) = (x −…