What is the space of multipliers (that is translation invariant bounded operators) on $C_0(\mathbb{R})$ (space of continuous functions vanishing at $\pm \infty$)? I suppose the answer should be the set of operators which are a convolution with a (finite) complex Borel measure on $\mathbb{R}$. If this is known, is there a reference for this fact?
2026-04-09 00:00:38.1775692838
Space of multipliers on $C_0(\mathbb{R})$?
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