Modulation preserving operators on locally compact abelian groups

Abstract

Let $G$ be a locally compact abelian group and $\Lambda$ be a closed subgroup of the dual group $\hat{G}$. In this paper, we investigate modulation preserving operators with respect to $\Lambda$, and give a characterization of them in terms of range operators.

arXiv admin note: substantial text overlap with arXiv:1910.13514