On the Composition and Neutrix Composition of the Delta Function and the Function cosh^{-1}(|x|^{1/r}+1)
<p>Let $F$ be a distribution in $\mathcal{D'}$ 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 $\{ F_{n}(f(x))\}$ is equal to $h(x)$, where $F_n(x) =F(x)*\delta _n(x)...
| Published in: | International Journal of Analysis and Applications |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2017-03-01
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| Online Access: | http://www.etamaths.com/index.php/ijaa/article/view/914 |