87065
20190416220421.0
REP_WORK
Wavelets on the 2-Hyperboloid
Ecublens
2004
2004
Reports
ITS
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.
Fourier-Helgason transform
LTS2
non-commutative harmonic analysis
wavelets
Bogdanova, I.
128491
241302
Vandergheynst, P.
120906
240428
Gazeau, J.
762824
n/a
http://infoscience.epfl.ch/record/87065/files/Bogdanova2004_1162.pdf
LTS2
252392
U10380
oai:infoscience.tind.io:87065
report
STI
GLOBAL_SET
EPFL-REPORT-87065
Bogdanova2004_1162/LTS
EPFL
PUBLISHED
REPORT