Title : ( A continuous frame representation for an abstract shearlet group )
Authors: Reihaneh Raisi Tousi , Rajab Ali Kamyabi Gol , Fatemeh Esmaeelzadeh ,
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Abstract
Let S be a locally compact abstract shearlet group and σ : S → U-H- be a representation of S on a separable Hilbert space H.We give a necessary and sufficient condition for the family of representation coefficients to be a continuous shearlet frame. Furthermore relations between continuous shearlet frames associated to a given representation and its irreducible sub-representations are investigated.
Keywords
Abstract shearlet group · Continuous shearlet frames · Direct integral · Unitary representation
@article{paperid:1073190,
author = {Raisi Tousi, Reihaneh and Kamyabi Gol, Rajab Ali and Fatemeh Esmaeelzadeh},
title = {A continuous frame representation for an abstract shearlet group},
journal = {Journal of Pseudo-Differential Operators and Applications},
year = {2019},
volume = {1},
number = {1},
month = {February},
issn = {1662-9981},
pages = {1--10},
numpages = {9},
keywords = {Abstract shearlet group · Continuous shearlet frames · Direct integral ·
Unitary representation},
}
%0 Journal Article
%T A continuous frame representation for an abstract shearlet group
%A Raisi Tousi, Reihaneh
%A Kamyabi Gol, Rajab Ali
%A Fatemeh Esmaeelzadeh
%J Journal of Pseudo-Differential Operators and Applications
%@ 1662-9981
%D 2019
