Title : ( Weyl transforms and the products of two wavelet multiplier operators on locally compact abelian topological groups )
Authors: mohammed almohammed , Rajab Ali Kamyabi Gol , Mohammad Janfada ,
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Abstract
Let $\\\\\\\\alpha$ be a topological automorphism on a locally compact abelian group G, satisfies $\\\\\\\\alpha(p^2) = p$ for all p ∈ G. This paper deals with defining Fourier–Wigner, Wigner and Weyl transforms with respect to $\\\\\\\\alpha$, and among other things, it shows that Weyl transform has the same effect as Hilbert–Schmidt operators and the product of two wavelet multipliers.
Keywords
, Locally compact abelian group, Dual group, Wavelet multiplier operator, Weyl transform , Wigner transform, Fourier–Wigner transform
@article{paperid:1077010,
author = {Almohammed, Mohammed and Kamyabi Gol, Rajab Ali and Janfada, Mohammad},
title = {Weyl transforms and the products of two wavelet multiplier operators on locally compact abelian topological groups},
journal = {Journal of Pseudo-Differential Operators and Applications},
year = {2019},
volume = {10},
number = {4},
month = {December},
issn = {1662-9981},
pages = {793--804},
numpages = {11},
keywords = {Locally compact abelian group; Dual group; Wavelet multiplier
operator; Weyl transform ; Wigner transform; Fourier–Wigner transform},
}
%0 Journal Article
%T Weyl transforms and the products of two wavelet multiplier 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
