TY - RPRT
AB - We build wavelets on the 2-Hyperboloid. First, we define dilations on the hyperboloid through conic projection. Then, incorporating hyperbolic motions belonging to $SO_0(1,2)$, we define a family of hyperbolic wavelets. The continuous wavelet transform (CWT)is obtained by convolution of the scaled wavelets with the signal. This wavelet transform is proved to be invertible whenever wavelets satisfy a particular admissibility condition. Finally, the Euclidean limit of this CWT on the hyperboloid is considered.
T1 - Wavelets on the 2-Hyperboloid
DA - 2004
AU - Bogdanova, I.
AU - Vandergheynst, P.
AU - Gazeau, J.
PP - Ecublens
N1 - ITS
ID - 87065
KW - Fourier-Helgason transform
KW - LTS2
KW - non-commutative harmonic analysis
KW - wavelets
UR - http://infoscience.epfl.ch/record/87065/files/Bogdanova2004_1162.pdf
ER -