The crux of turbulence theory is the well known closure problem. This central and still unresolved issue of turbulence prevents reliable predictions even on the global flow behavior. This monograph introduces promising mathematical tools to shed new light on this problem to be able to generate simple and workable constructions and solutions for turbulent applications. Big parts of the book feature the turbulence dissipation process, the mechanism that controls growth of the energy and its transfer from large towards small-scale motions, demonstrating the great potential of the presented two-point correlation technique.