Abstract
The Dirac δ function has solid roots in nineteenth 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 δ.
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Katz, M.G., Tall, D. A Cauchy-Dirac Delta Function. Found Sci 18, 107–123 (2013). https://doi.org/10.1007/s10699-012-9289-4
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DOI: https://doi.org/10.1007/s10699-012-9289-4