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A representation of the Dirac delta function in $ \mathcal{C}(R^{\infty})$ interms of infinite-dimensional Lebesgue measures in $R^{\infty}$ is obtained andsome it's properties are studied in this paper.

Representation of the Dirac delta function in $\mathcal{C}(R^{\infty})$ in terms of infinite-dimensional Lebesgue measures