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.
@article{1187,
title = {Computing the inverse Laplace transform for rational functions vanishing at infinity},
journal = {CUBO, A Mathematical Journal},
volume = {16},
year = {2014},
language = {en},
url = {http://dml.mathdoc.fr/item/1187}
}
Sudo, Takahiro. Computing the inverse Laplace transform for rational functions vanishing at infinity. CUBO, A Mathematical Journal, Tome 16 (2014) 21 p. http://gdmltest.u-ga.fr/item/1187/