A Cauchy-Dirac delta function
arXiv:1206.0119 · doi:10.1007/s10699-012-9289-4
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.
24 pages, 2 figures; Foundations of Science, 2012
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- Dirac delta as a generalized holomorphic function