Title : ( Continuous wavelet transform for locally compact commutative hypergroups )
Authors: Arash Ghaani Farashahi , Rajab Ali Kamyabi Gol ,
Full TextAbstract
We define the continuous wavelet transform for locally compact commutative hypergroups using the representation theory of locally compact commutative hypegroup and theory of coherent state systems for a suitable defined coherent state system. Then we investgate the operator sense properties of the coefficient opewrators in this setting. Also we prove the existance of generalized Duflo Moor operators. As an example we show that these techniques apply to the Bessel kingman Hypergroups.
Keywords
, locally compact commutative hypergroup, continuous wavelet transform, coherent state systems , hypergroup representation , duflo moor operators, admissible vector.
@inproceedings{paperid:1014370,
author = {Ghaani Farashahi, Arash and Kamyabi Gol, Rajab Ali},
title = {Continuous wavelet transform for locally compact commutative hypergroups},
booktitle = {سی و نهمین کنفرانس ریاضی ایران},
year = {2009},
location = {کرمان, IRAN},
keywords = {locally compact commutative hypergroup; continuous wavelet transform; coherent state systems ; hypergroup representation ; duflo moor operators; admissible vector.},
}
%0 Conference Proceedings
%T Continuous wavelet transform for locally compact commutative hypergroups
%A Ghaani Farashahi, Arash
%A Kamyabi Gol, Rajab Ali
%J سی و نهمین کنفرانس ریاضی ایران
%D 2009
