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. 197209.
ISSN 18238343; ESSN: 2289750X
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 deltafunction g(x). A number of examples are given.
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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; Deltafunction; 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 
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