A nonstandard delta function
HTML articles powered by AMS MathViewer
- by Todor Todorov PDF
- Proc. Amer. Math. Soc. 110 (1990), 1143-1144 Request permission
Abstract:
We prove that the Dirac delta distribution has a kernel in the class of the pointwise nonstandard functions.References
- Nelson Dunford and Jacob T. Schwartz, Linear operators. Part I, Wiley Classics Library, John Wiley & Sons, Inc., New York, 1988. General theory; With the assistance of William G. Bade and Robert G. Bartle; Reprint of the 1958 original; A Wiley-Interscience Publication. MR 1009162
- K. D. Stroyan and W. A. J. Luxemburg, Introduction to the theory of infinitesimals, Pure and Applied Mathematics, No. 72, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1976. MR 0491163
Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 110 (1990), 1143-1144
- MSC: Primary 46F10; Secondary 03H05, 26E35
- DOI: https://doi.org/10.1090/S0002-9939-1990-1037226-6
- MathSciNet review: 1037226