Antoine, J.
Vandergheynst, P.
Wavelets on the 2-sphere and related manifolds
Reports on Mathematical Physics
Reports on Mathematical Physics
Reports on Mathematical Physics
Reports on Mathematical Physics
43
1-2
LTS2
1999
1999
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) × R*+, embedded into the Lorentz group SOo(3,1) via the Iwasawa decomposition, and X -SOo(3,1)/. The space L2(S2,d) carries a unitary irreducible representation of SOo(3,1), which is square integrable over X, and thus yields the wavelets on S2 and the associated CWT.
Reports on Mathematical Physics
Journal Articles
10.1016/S0034-4877(99)80011-1