Computing the Laplace transform and the convolution for more functions adjoined

Takahiro Sudo

doi:10.4067/S0719-06462015000300005

Computing the Laplace transform and the convolution for more functions adjoined

Authors

Takahiro Sudo Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus, Senbaru 1, Nishihara, Okinawa 903-0213, Japan.

DOI:

https://doi.org/10.4067/S0719-06462015000300005

Keywords:

Laplace tranform, Gaussian function, Dirac delta function, convolution

Abstract

We compute explicitly the Laplace transform and the convolution for more functions on the real than the continuous functions that obtained as the inverse Laplace transforms of rational functions on the complex plane vanishing at infinity. We also consider the algebraic structure with more functions adjoined.