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

Abstract

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

17 pages