Inversion of singular integrals with multiplicative Cauchy kernel and infinite integration domain

We consider the simplest singular integral equations of the first kind with multiplicative Cauchy kernel and with integration either over the three-dimensional domain (0,+∞) × (0,+∞) × (0,+∞) or over the entire three-dimensional Euclidean space. For these equations, we construct general solutions in the Hölder class and find statements of uniquely solvable problems.