Inversion of the multi-dimensional Laplace transform-expansion by Laguerre series
There are many methods to invert the Laplace transform in the existing literature, only a handful of them deal with the multi-dimensional case. Among the well known one-dimensional inversion techniques, the methods which use Laguerre polynomials are noted for their accuracy with several different types of functions. This paper is essentially an extension of the above methods to multi-dimension with the necessary mathematical theory. The method described here can be used to invert a Laplace transform known in closed form as an analytic function.
scientific article; zbMATH DE number 831605