Spectral properties of bilocal operators in the expansion of a product of local operators on the light cone

A study is made of the spectral properties of bilocal operators in the expansion of a product of operators on the cone in the Wilson–Zimmermann approach [1–4]. It is shown that the spectral condition and polynomial boundedness lead to analyticity of the matrix elements of the biloeal operators in coordinate space. A method is developed for separating out from the general expansion the operators in which the spectral properties of the bilocal operators can be fixed explicitly.