Continuous wavelet transforms on the sphere

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 R(2). 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. (C) 1996 American Institute of Physics.