Continuous wavelet transforms on the sphere
M. Holschneider · Journal of Mathematical Physics · 1996
In this very short paper we shall construct a continuous wavelet analysis based on dilations translations and rotations on the sphere. It is the analog of the construction proposed by Murenzi [in his thesis, 1990], on R2. At small scale we shall recover the Euclidian structure of the sphere. At large scale we obtain that the wavelet transform decays rapidly because the sphere is compact.