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/