We define and investigate modulation invariant spaces on a locally compact abelian group $G$ with respect to a closed subgroup of the dual group $\widehat{G}$. Using a range function approach, we establish a characterization of modulation invariant spaces. Finally, we define a metric on the collection of all modulation invariant spaces and study some topological properties of the metric space.
Mortazavizadeh, M., Raisi Tousi, R. (2021). 'Modulation invariant spaces on locally compact abelian groups', Khayyam Journal of Mathematics, 7(2), pp. 232-240. doi: 10.22034/kjm.2020.230232.1827
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Mortazavizadeh, M., Raisi Tousi, R. Modulation invariant spaces on locally compact abelian groups. Khayyam Journal of Mathematics, 2021; 7(2): 232-240. doi: 10.22034/kjm.2020.230232.1827
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