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arXiv · 1911.03434

Modulation invariant spaces on locally compact abelian groups

M. Mortazavizadeh·R. Raisi Tousi
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Abstract

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.

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M. Mortazavizadeh, R. Raisi Tousi. 2019-10-20. Modulation invariant spaces on locally compact abelian groups. https://arxiv.org/abs/1911.03434

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