A Cauchy-Dirac delta function

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

References in corpus (3)

• Leibniz's Infinitesimals: Their Fictionality, Their Modern Implementations, And Their Foes From Berkeley To Russell And Beyond
• Ten Misconceptions from the History of Analysis and Their Debunking
• Leibniz's Laws of Continuity and Homogeneity

Cited by in corpus (3)

• Toward a history of mathematics focused on procedures
• Fractional variation of Hölderian functions
• Toward a clarity of the extreme value theorem