We review the coherent state or group-theoretical construction of the continuous wavelet transform (CWT) on the two-sphere. Next we describe the construction of a CWT on the upper sheet of a two-sheeted hyperboloid, emphasizing the similarities between the two cases.. Finally we give some indications on the CWT on a paraboloid and we introduce a unified approach to the CWT on conic sections.
Corentin Jean Dominique Fivet, Nicolas Robin Montagne, Olivier Baverel
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