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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

A nonstandard delta function


Author: Todor Todorov
Journal: Proc. Amer. Math. Soc. 110 (1990), 1143-1144
MSC: Primary 46F10; Secondary 03H05, 26E35
MathSciNet review: 1037226
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Abstract: We prove that the Dirac delta distribution has a kernel in the class of the pointwise nonstandard functions.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1990-1037226-6
PII: S 0002-9939(1990)1037226-6
Keywords: Nonstandard analysis, nonstandard extension, saturation principle, delta function
Article copyright: © Copyright 1990 American Mathematical Society