Con guration Space Renormalization of Massless QFT as an Extension Problem for Associate Homogeneous Distributions

preprint http://preprints.ihes.fr/2011/P/P-11-07.pdfConfiguration (x-)space renormalization of euclidean Green functions in a massless quantum field theory is reduced (by generalizing Hörmander's approach [H]) to the study of extensions of associate homogeneous distributions. Primitively divergent graphs are renormalized, in particular, by subtracting the residue of an analytically regularized expression. The renormalized Green functions are again associate homogeneous distributions that transform under indecomposable representations of the dilation group