  By using a coset of closed subgroup, we define a Fourier like transform for
locally compact abelian (LCA) topological groups. We studied two wavelet
multipliers and Landau-Pollak-Slepian operators on locally compact abelian
topological groups associated to the transform and show that the transforms are
$L^p$bounded linear operators, and are in Schatten p-class for $1\leq p\leq
\infty$. Finally, we determine their trace class and also obtain a connection
with the generalized Landau-Pollak-Slepian operators.

Functional Analysis