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Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.

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The dual space of the Dirac measures on an Abelian group

Let $G$ be a Hausdorff locally-compact Abelian group and $L^2(G)$ the Hilbert space of two-integrable complex functions on the group. Question. What would be natural vector space $\mathcal{R}$ o …
Juan Bermejo Vega's user avatar