2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/135932In the general context of complex data processing, this paper reviews a recent practical approach to the continuous wavelet formalism on the sphere. This formalism notably yields a correspondence principle which relates wavelets on the plane and on the sphere. Two fast algorithms are also presented for the analysis of signals on the sphere with steerable wavelets.20 pages, 5 figures, JFAA style, paper invited to J. Fourier Anal. and ApplicAstrophysicsMathematical Physicstext