English

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

Classical Analysis and ODEs 2016-05-17 v2

Abstract

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

Keywords

Cite

@article{arxiv.1605.02723,
  title  = {Representation of the Dirac delta function in $\mathcal{C}(R^{\infty})$ in terms of infinite-dimensional Lebesgue measures},
  author = {Gogi Pantsulaia and Givi Giorgadze},
  journal= {arXiv preprint arXiv:1605.02723},
  year   = {2016}
}

Comments

17 pages