Title : ( On the operators related to C.W.T on general homogeneous spaces )
Authors: olia dokht sajady rad , F. Esmaeelzadeh , Rajab Ali Kamyabi Gol ,
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Abstract
For homogeneous space G/H equipped with strongly quasi invariant measure ν, we introduce the two-wavelet constant for square integrable representations and the orthogonal subspaces of L2(G/H), which are related to continuous wavelet transform (C.W.T). For admissible wavelet η and Θ∈Lp(G/H);1⩽p⩽∞, the localization operator ΥΘ,η is introduced. The boundedness properties of localization operator is studied and it is shown that ΥΘ,η is in Schatten p-class.
Keywords
, Strongly quasi invariant measure, Localization operator, Homogeneous space, Continuous wavelet transform, Schatten p-class
@article{paperid:1064679,
author = {Sajady Rad, Olia Dokht and F. Esmaeelzadeh and Kamyabi Gol, Rajab Ali},
title = {On the operators related to C.W.T on general homogeneous spaces},
journal = {Journal of Pseudo-Differential Operators and Applications},
year = {2017},
volume = {8},
number = {2},
month = {June},
issn = {1662-9981},
pages = {203--212},
numpages = {9},
keywords = {Strongly quasi invariant measure; Localization operator; Homogeneous space; Continuous wavelet transform; Schatten p-class},
}
%0 Journal Article
%T On the operators related to C.W.T on general homogeneous spaces
%A Sajady Rad, Olia Dokht
%A F. Esmaeelzadeh
%A Kamyabi Gol, Rajab Ali
%J Journal of Pseudo-Differential Operators and Applications
%@ 1662-9981
%D 2017
