An Inversion and Representation Theory for the Laplace Integral of Abstractly-Valued Functions

Abstract

The theory of the Laplace integral of abstractly-valued functions of a real or complex variable has been developed, in the last few years, to an extent that it is almost approaching the degree of completeness enjoyed by the classical theory of the Laplace integral of numerically-valued functions. In certain respects, however, there are still large gaps. One of the gaps occurs in representation theory.