… If κ ≡ 1 and E = R then Theorem 5.1 reduces to DV Widder’s characterization of the Laplace
transform of a function in L∞(R+). Some applications of Theorem 5.1 to the theory of one-…

… This material represents a collection of integrals of the Laplace- and inverse Laplace
Transform type. The usefulness of this kind of information as a tool in various branches of …

… For the inversion of a Laplace transform, the present formula is proved to be equivalent to
the Post–Widder expression.  2002 Elsevier Science BV All rights reserved. …

… the modern Laplace transform had all but displaced the older Laplace transformation. This
… This followed an earlier suggestion made by WIDDER himself [133]. It is a route not in fact …

… ) into two unilateral Laplace transforms, one convergent in a right half-plane, the other in a
left half-plane. We discuss here an interesting case in which one of these transforms extends …

… Asymptotic expansion of integral transforms with oscillatory kernels: A generalization of the
… Asymptotic expansion of a class of integral transforms via Mellin transforms. Arch. Rational …

… Numerical methods for the inversion of the Laplace transform (1.1) naturally fall into two
classes: the methods that make use of real values of the transform only, and the methods that …

… While the methods of the present paper also cannot be used to invert every Laplace transform,
we shall nevertheless describe here a simple procedure for altering the original given g to …

… The Laplace transformation is used extensively in various problems of pure and … Laplace
transformation lies in the possibility of compiling tables of direct and inverse Laplace transforms …

… two-sided Laplace transform. The next subject is the one-sided Laplace transform. Transfer
functions and frequency functions are given. Various inverse transformation procedures are …