A Cauchy-Dirac delta function
History and Overview
2012-09-06 v2 Mathematical Physics
Classical Analysis and ODEs
Functional Analysis
math.MP
Abstract
The Dirac delta function has solid roots in 19th century work in Fourier analysis and singular integrals by Cauchy and others, anticipating Dirac's discovery by over a century, and illuminating the nature of Cauchy's infinitesimals and his infinitesimal definition of delta.
Cite
@article{arxiv.1206.0119,
title = {A Cauchy-Dirac delta function},
author = {Mikhail G. Katz and David Tall},
journal= {arXiv preprint arXiv:1206.0119},
year = {2012}
}
Comments
24 pages, 2 figures; Foundations of Science, 2012