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Pointwise kernels of Schwartz distributions

Published:1992 Issue:3 Volume:114 Page:817-819
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Todorov Todor

Abstract

We show that Schwartz distributions have kernels in the class of the pointwise nonstandard functions.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1992-114-03/S0002-9939-1992-1081703-0/S0002-9939-1992-1081703-0.pdf

Reference4 articles.

1. North-Holland Mathematics Studies;Colombeau, Jean-François,1984

2. Publications de l'Institut de Math\'{e}matique de l'Universit\'{e} de Strasbourg, IX-X;Schwartz, Laurent,1966

3. Pure and Applied Mathematics, No. 72;Stroyan, K. D.,1976

4. A nonstandard delta function;Todorov, Todor;Proc. Amer. Math. Soc.,1990

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1. Non-Standard Version of Egorov Algebra of Generalized Functions;Trends in Mathematics;2024

2. Comment on “Pointwise analysis of scalar fields: A nonstandard approach” [J. Math. Phys. 47, 092301 (2006)];Journal of Mathematical Physics;2007-08

3. The Colombeau generalized nonlinear analysis and the Schwartz linear distribution theory;Journal of Mathematical Sciences;1999-01

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