Computing the inverse Laplace transform for rational functions vanishing at infinity

We compute explicitly the inverse Laplace transform for rational functions vanishing at infinity in the general case. We also compute explicitly convolution product for continuous elementary functions involved in the general case. We then consider algebraic structure about the Laplace transform via...

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Bibliographic Details
Main Author: Sudo,Takahiro
Language:English
Published: Universidad de La Frontera. Departamento de Matemática y Estadística. 2014
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Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000300008
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Summary:We compute explicitly the inverse Laplace transform for rational functions vanishing at infinity in the general case. We also compute explicitly convolution product for continuous elementary functions involved in the general case. We then consider algebraic structure about the Laplace transform via convolution product.