Title

Asymptotic Functions as Kernels of the Schwartz Distributions

Author Info

Todor D. Todorov, Institute of Nuclear Research and Nuclear Energy, BulgariaFollow

Recommended Citation

Postprint version. Published in Bulgarian Journal of Physics, Volume 12, Issue 5, January 1, 1985, pages 451-464.

NOTE: At the time of publication, the author Todor D. Todorov was not yet affiliated with Cal Poly.

Abstract

Using a version of the sequential method we introduce a class of generalized functions called here "asymptotic functions''. This class contains kernels of all Schwartz distributions and is equipped with a correctly defined multiplication operation. So, in a sense, one solves the problem of "multiplication of Schwartz distributions" although the solution refers to the class of the asymptotic functions and not to the Schwartz distributions themselves. The paper is a continuation of a series of works [1-10] but here only part of the results of [5], [6] and [8] will be needed.

Disciplines

Mathematics

Copyright

1985 Heron Press Limited.