A Nonstandard Delta Function

Todor D. Todorov, University of California - Santa Barbara

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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.

Abstract

We prove that the Dirac delta distribution has a kernel in the class of the pointwise nonstandard functions.