Modern methods for solving inverse problems (such as a system of linear equations Y =AX or Fredholm integral equation of the 1st kind) proceed from the fact that Apparatus Function (AF) A is known. For example, statements about the applicability of the regularization method in astronomy look quite strange, when arguments are made about the smoothness of solutions X associated with regions of the starry sky. In this paper, we present the results of a new mathematical method, which we have called the Mathematical Microscope (ММ). For the Event Horizon Telescope (EHT), the Antenna Pattern (AP) can only be said to correspond to a large telescope with an approximate aperture size. The paper presents the results of Super-Resolution from two EHT with accurate estimates of their AP or AF. MM has one drawback; it is very difficult to implement. In order for MM to be widely used, it is necessary to develop Artificial Intelligence for automatic accurate selection of AF with an analysis of the neighborhoods of individual (pixel) points in Super-Resolved X images.