Spherical Continuous Wavelet Transforms arising from sections of the Lorentz group
نویسنده
چکیده
In this paper we consider the conformal group of the unit sphere S, the proper Lorentz group Spin(1, n), for the study of spherical continuous wavelet transforms. The parameter space is determined by the factorization of the gyrogroup of the unit ball by an appropriate gyro-subgroup. We study two families of sections that give rise to anisotropic conformal dilation operators for the unit sphere S in R n associated to Möbius transformations. Afterwards we show that we can construct wavelets on the unit sphere from wavelets on the tangent plane.
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