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| Title |
On a stability of Pexiderized exponential equation |
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| Author(s) |
Jaeyoung Chung |
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| MSC |
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| Abstract |
We prove the Hyers-Ulam stability of a Pexiderized exponential
equation of mappings $f, g, h:G\times S\rightarrow\mathbb{C}$, where
$G$ is an abelian group and $S$ is a commutative semigroup which is
divisible by $2$. As an application we obtain a stability theorem
for Pexiderized exponential equation in Schwartz distributions. |
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| Keyword |
distribution, Sato hyperfunction, Fourier hyperfunction, Pexiderized exponential equation, heat kernel, stability |
| Keyword |
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| Attach |
article.pdf |
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