Computing the inverse Laplace transform for rational functions vanishing at infinity
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Takahiro Sudo
sudo@math.u-ryukyu.ac.jp
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DOI:
https://doi.org/10.4067/S0719-06462014000300008Abstract
We compute explicitly the inverse Laplace transform for rational functions vanishing at infinity in the general case. We also compute explicitly convolution product for con- tinuous elementary functions involved in the general case. We then consider algebraic structure about the Laplace transform via convolution product.
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