
In this paper there are two aspects to be considered: the problem of the didactic mathematics discourse of the Laplace transformed and a theoretic questioning of the concept of genetic decomposition, that could possibly be reformulated with an epistemological base. The research showed, responding to the problem, the absence of a meaning’s reference frame and the origin of the conditions that allowed the construction of Laplace transformed. This fact questioned any formulation of the genetic decomposition of Laplace transformed, since the decomposition would mean a learning model for students, and it would imply, in the a priori of the reference frame of the transformed, a decomposition formulated by the co-ordinations of the mental constructions necessary for the student to only realize the definition of Laplace transformed. It is, then, how an epistemology of Laplace transformed is formulated and its role as base for a genetic decomposition is discussed with the intentions of enlarging its conceptual frame