Title : ( Wavelet transforms via generalized quasi-regular representations )
Authors: Rajab Ali Kamyabi Gol , Nargess Tavalaei ,
Full TextAbstract
The construction of the well-known continuous wavelet transform has been extended before to higher dimensions. Then it was generalized to a group which is topologically isomorphic to a homogeneous space of the semidirect product of an abelian locally compact group and a locally compact group. In this paper, we consider a more general case. We introduce a class of continuous wavelet transforms obtained from the generalized quasi-regular representations. To define such a representation of a group G, we need a homogeneous space with a relatively invariant Radon measure and a character of G.
Keywords
, Homogeneous space Rho, function Relatively invariant measure Strongly quasi, invariant measure Unitary representation Continuous wavelet transform Semidirect product
@article{paperid:1010888,
author = {Kamyabi Gol, Rajab Ali and Nargess Tavalaei},
title = {Wavelet transforms via generalized quasi-regular representations},
journal = {Applied and Computational Harmonic Analysis},
year = {2009},
volume = {26},
number = {3},
month = {April},
issn = {1063-5203},
pages = {291--300},
numpages = {9},
keywords = {Homogeneous space
Rho-function
Relatively invariant measure
Strongly quasi-invariant measure
Unitary representation
Continuous wavelet transform
Semidirect product},
}
%0 Journal Article
%T Wavelet transforms via generalized quasi-regular representations
%A Kamyabi Gol, Rajab Ali
%A Nargess Tavalaei
%J Applied and Computational Harmonic Analysis
%@ 1063-5203
%D 2009
