On Homogeneous Limit Integral Equations of Fredholm Type in Spaces of Bounded Functions

In this work, we consider homogeneous limit integral equations of Fredholmtype in the class of bounded continuous functions.We develop a corresponding theory that establishes fundamental results analogous to Fredholm theory, similar to those in the theory of limit integral equations in Bohr spaces.The main difference compared to the Bohr space case lies in the fact that, in the present setting, it is not possible to reduce the problem to ordinary integral equations on the unit cube.