On the composition and neutrix composition of the delta function with the hyperbolic tangent and its inverse functions.

On the composition and neutrix composition of the delta function with the hyperbolic tangent and its inverse functions.

Let 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 cert...

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Bibliographic Details
Main Authors: Fisher, Brian, Kilicman, Adem
Format: Article
Language:English
English
Published: Hindawi Publishing Corporation 2011
Online Access:http://psasir.upm.edu.my/id/eprint/25270/
http://psasir.upm.edu.my/id/eprint/25270/1/On%20the%20composition%20and%20neutrix%20composition%20of%20the%20delta%20function%20with%20the%20hyperbolic%20tangent%20and%20its%20inverse%20functions.pdf

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