A method of describing nonrenormalizable interactions, taking account of unitarity

A unitary technique is developed for the construction of a Fourier-transform for two-point Green functions in localized and nonlocalized theories with nonrenormalizable interactions. Spectral representations are found for these functions. It is shown that the functions being studied have a logarithmic branch point $g^2$ for $g^2=0$ in momentum space. Cases of scalar zero-mass and large-mass particles are considered.