Wavelets on the 2 - Sphere and Related Manifolds
نویسنده
چکیده
We present a group-theoretical derivation of the continuous wavelet transform (CWT) on the 2-sphere S2, based on the construction of coherent states associated to square integrable group representations. The parameter space X is the product of SO(3) x J&, embedded into the Lorentz group S00(3, 1) via the Iwasawa decomposition, and X Y SO,(3,1)/C. The space L2(S2, a!~) carries a unitary irreducible representation of S00(3, l), which is square integrable over X, and thus yields the wavelets on S2 and the associated CWT.
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