A heating device for the transformation of a material, includes: a lower mold element or matrix, made of an electrically conductive material and having a molding zone for contacting with the material to be transformed; an upper element that lacks a molding zone, made of an electrically conductive material; inductor elements for generating a magnetic field that envelops the matrix and the upper element, with the matrix and the element being electrically insulated from one another during the induction heating phase so that the surfaces opposite these two elements delimit an air gap in which the magnetic field that induces currents circulates at the surface of the molding zone of the matrix, thus making it possible to localize the action of the inductors at the interface of the molding zone/material to be transformed; and deformable pressure element, arranged between the matrix and the upper element, able to exert uniform pressure on the material to be transformed.