Title : ( HOMOGENEOUS SPACE AND CONTINUOUS WAVELET TRANSFORM )
Authors: fatemeh esmaeelzadeh , Rajab Ali Kamyabi Gol , Reihaneh Raisi Tousi ,
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Abstract
Let G/H be a homogenous space where G be a locally compact group and H be a compact subgroup of G. In this note we define a square integrable representation of homogenous space G/H on Hilbert space H. The reconstruction formula for homogenous space G/H is established. Also the continuous wavelet transform on G/H is defined and the properties of the continuous wavelet transform is proved.
Keywords
, Homogenous space, Square integrable representation, Admissible wavelet, Continuous wavelet transform, reproducing kernel Hilbert space.
@inproceedings{paperid:1020895,
author = {Esmaeelzadeh, Fatemeh and Kamyabi Gol, Rajab Ali and Raisi Tousi, Reihaneh},
title = {HOMOGENEOUS SPACE AND CONTINUOUS WAVELET TRANSFORM},
booktitle = {19th Mathematical Seminar On Analysis and its applications},
year = {2011},
location = {بابلسر, IRAN},
keywords = {Homogenous space; Square integrable representation; Admissible
wavelet; Continuous wavelet transform; reproducing kernel Hilbert space.},
}
%0 Conference Proceedings
%T HOMOGENEOUS SPACE AND CONTINUOUS WAVELET TRANSFORM
%A Esmaeelzadeh, Fatemeh
%A Kamyabi Gol, Rajab Ali
%A Raisi Tousi, Reihaneh
%J 19th Mathematical Seminar On Analysis and its applications
%D 2011
