TY - EJOUR
DO - 10.1016/S0034-4877(99)80011-1
AB - 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.
T1 - Wavelets on the 2-sphere and related manifolds
IS - 1-2
DA - 1999
AU - Antoine, J.
AU - Vandergheynst, P.
JF - Reports on Mathematical Physics
SP - 13-24
VL - 43
EP - 13-24
ID - 86617
KW - LTS2
UR - http://infoscience.epfl.ch/record/86617/files/Peotta1999_33.pdf
ER -