Title : ( On wavelet multiplier and Landau–Pollak–Slepian operators on $$L^{2}(G,{\mathbb {H}})$$ )
Authors: Mohammed Abdulah , Rajab Ali Kamyabi Gol ,
Full TextAbstract
In this paper, we define the wavelet multiplier and Landau–Pollak–Slepian (L.P.S) operators on the Hilbert space L2(G2,H), where G is a locally compact abelian topological group, and H is the quaternion algebra; Also, we will investigate some of their properties. In particular, we show that they are bounded linear operators, as well in Schatten p-class spaces, 1 ≤ p ≤∞, and we determine their trace class.
Keywords
Locally compact abelian group · Dual group · Wavelet multiplier operator · Landau–Pollak–Slepian operator · Admissible wavelets · Unitary representation · Quaternion algebra
@article{paperid:1087491,
author = {Mohammed Abdulah and Kamyabi Gol, Rajab Ali},
title = {On wavelet multiplier and Landau–Pollak–Slepian operators on $$L^{2}(G,{\mathbb {H}})$$},
journal = {Journal of Pseudo-Differential Operators and Applications},
year = {2021},
volume = {13},
number = {1},
month = {November},
issn = {1662-9981},
keywords = {Locally compact abelian group · Dual group · Wavelet multiplier
operator · Landau–Pollak–Slepian operator · Admissible wavelets · Unitary
representation · Quaternion algebra},
}
%0 Journal Article
%T On wavelet multiplier and Landau–Pollak–Slepian operators on $$L^{2}(G,{\mathbb {H}})$$
%A Mohammed Abdulah
%A Kamyabi Gol, Rajab Ali
%J Journal of Pseudo-Differential Operators and Applications
%@ 1662-9981
%D 2021
