A Nonstandard Delta Function
This article was first published in Proceedings of the American Mathematical Society, published by the American Mathematical Society. Copyright © 1990 American Mathematical Society. The definitive version is available at http://dx.doi.org/10.1090/S0002-9939-1990-1037226-6.
NOTE: At the time of publication, the author Todor Todorov was not yet affiliated with Cal Poly.
We prove that the Dirac delta distribution has a kernel in the class of the pointwise nonstandard functions.
Todor D. Todorov. "A Nonstandard Delta Function" Proceedings of the American Mathematical Society.. Dec. 1990.
Available at: http://works.bepress.com/ttodorov/4