On the composition and neutrix composition of the delta function and powers of the inverse hyperbolic sine function

On the composition and neutrix composition of the delta function and powers of the inverse hyperbolic sine function

Lets F be a distribution in D' and let f be a locally summable function. The composition F(f(x)) of F and f is said to exist and be equal to the distribution h(x) if the limit of the sequence {Fn(f(x))} is equal to h(x), where Fn(x)=F(x)*δn(x) for n=1, 2, … and {δn(x)} is a certain regular sequ...

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Bibliographic Details
Main Authors: Fisher, Brian, Kilicman, Adem
Format: Article
Language:English
Published: Taylor & Francis 2010
Online Access:http://psasir.upm.edu.my/id/eprint/15912/
http://psasir.upm.edu.my/id/eprint/15912/1/On%20the%20composition%20and%20neutrix%20composition%20of%20the%20delta%20function%20and%20powers%20of%20the%20inverse%20hyperbolic%20sine%20function.pdf

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