Abstract
The existence of the light-cone expansion in renormalized perturbation theory is proved. The proof relies in an essential way on the method of Anikin and Zavialov which applies new subtraction operators and allows the elimination of a remainder which is small for x 2→0. It is shown that the light-cone expansion converges weakly on a dense subset of the Fock space to the difference between the operator product and a remainder.
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