Citation
Kilicman, Adem and Fisher, Brian
(2011)
An introduction to neutrix composition of distributions and delta function.
Malaysian Journal of Mathematical Sciences, 5 (2).
pp. 197-209.
ISSN 1823-8343; ESSN: 2289-750X
Abstract
The composition of the distribution g(s) (x) and an infinitely differentiable function f (x) having a simple zero at the point x = x0 is defined by Gel’fand Shilov by the equation g(s) (f (x)). It is shown how this definition can be extended to functions f (x) which are not necessarily infinitely differentiable or not having simple zeros at the point x = x0, by defining g(s) (f (x)) as the limit or neutrix limit of the sequence {g(s)n (f(x))} where {gn (x)} is a certain sequence of infinitely differentiable functions converging to the Dirac delta-function g(x). A number of examples are given.
Download File
Official URL or Download Paper: http://einspem.upm.edu.my/journal/fullpaper/vol5no...
|
Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| Publisher: | Institute for Mathematical Research, Universiti Putra Malaysia |
| Keywords: | Distribution; Delta-function; Composition of distributions; Neutrix; Neutrix limit |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 04 Sep 2015 13:02 |
| Last Modified: | 04 Sep 2015 13:02 |
| URI: | http://psasir.upm.edu.my/id/eprint/38922 |
| Statistic Details: | View Download Statistic |
Actions (login required)
 |
View Item |