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

中文翻译：

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局部紧的Abelian群上的保全算子

令G为局部紧致的阿贝尔群，\（\ Lambda \）为对偶群\（{\ widehat {G}} \\）的闭合子群。在本文中，我们研究关于\（\ Lambda \）的调制保留算符，并根据调制范围算符对它们进行表征。