Title : ( On wavelet multipliers and Landau–Pollak–Slepian operators on locally compact abelian topological groups )
Authors: mohammed almohammed , Rajab Ali Kamyabi Gol , Mohammad Janfada ,Abstract
In this paper, we define the wavelet multiplier and Landau–Pollak–Slepian (L.P.S) operators on the Hilbert space L2(G),whereG is a locally compact abelian topological group and investigate some of their properties. In particular, we show that they are bounded linear operators, and are 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@article{paperid:1074566,
author = {Almohammed, Mohammed and Kamyabi Gol, Rajab Ali and Janfada, Mohammad},
title = {On wavelet multipliers and Landau–Pollak–Slepian operators on locally compact abelian topological groups},
journal = {Journal of Pseudo-Differential Operators and Applications},
year = {2019},
volume = {10},
number = {2},
month = {June},
issn = {1662-9981},
pages = {257--267},
numpages = {10},
keywords = {Locally compact abelian group · Dual group · Wavelet multiplier
operator · Landau–Pollak–Slepian operator · Admissible wavelets · Unitary
representation},
}
%0 Journal Article
%T On wavelet multipliers and Landau–Pollak–Slepian operators on locally compact abelian topological groups
%A Almohammed, Mohammed
%A Kamyabi Gol, Rajab Ali
%A Janfada, Mohammad
%J Journal of Pseudo-Differential Operators and Applications
%@ 1662-9981
%D 2019