The Internet Archive has a preservation copy of this work in our general collections.
The file type is application/pdf
.
Wavelet Transform on the Circle and the Real Line: A Unified Group-Theoretical Treatment
[article]
2006
arXiv
pre-print
We present a unified group-theoretical derivation of the Continuous Wavelet Transform (CWT) on the circle S^1 and the real line R, following the general formalism of Coherent States (CS) associated to unitary square integrable (modulo a subgroup, possibly) representations of the group SL(2,R). A general procedure for obtaining unitary representations of a group G of affine transformations on a space of signals L^2(X,dx) is described, relating carrier spaces X to (first or higher-order)
arXiv:math-ph/0406057v2
fatcat:v2mujgx7kvg3rphsepudckpbda