Title : ( UNITARY DUAL OF THE STANDARD SHEARLET GROUP, IN ARBITRARY SPACE DIMENSIONS )
Authors: Rajab Ali Kamyabi Gol , masoumeh zare ,
Full TextAbstract
This paper is devoted to definition standard higher dimension shearlet group $ \mathbb{S} = \mathbb{R}^{+} \times \mathbb{R}^{n-1} \times\mathbb{R}^{n} $ in arbitrary space dimensions and concerned with the application of the Mackey Machine in order to determine the unitary dual of $ \mathbb{S} $, using the theory of induced unitary representations for locally compact groups, via the action of $ \mathbb{R}^{+} \times \mathbb{R}^{n-1} $ on $ \widehat{\mathbb{R}^{n}} $. Also we give a characterisation of irreducible sub-representations of the quasi-regular representation of $ \mathbb{S}$
Keywords
, Standard shearlet group, unitary dual, irreducible representation, Mackey theory
@article{paperid:1069049,
author = {Kamyabi Gol, Rajab Ali and Zare, Masoumeh},
title = {UNITARY DUAL OF THE STANDARD SHEARLET GROUP, IN ARBITRARY SPACE DIMENSIONS},
journal = {UPB Scientific Bulletin, Series A},
year = {2018},
volume = {80},
number = {2},
month = {June},
issn = {1223-7027},
pages = {51--60},
numpages = {9},
keywords = {Standard shearlet group; unitary dual; irreducible representation; Mackey theory},
}
%0 Journal Article
%T UNITARY DUAL OF THE STANDARD SHEARLET GROUP, IN ARBITRARY SPACE DIMENSIONS
%A Kamyabi Gol, Rajab Ali
%A Zare, Masoumeh
%J UPB Scientific Bulletin, Series A
%@ 1223-7027
%D 2018
