[en] Symanzik's approach (1975) to the renormalization problem in nonrenormalizable theories has been applied as to give meaning to vertex functions (VF) in massless models which are renormalizable in d space-time dimensions and are not in d + epsilon, epsilon > 0, dimensions. The important technical role in this approach is played by ΛDVO for VF with multiple insertions. ΛDVO means differential vertex operations where differentiations are performed w.r.t. UV cutoff Λ which, in scalar models, enters into kinetic part of lagrangian as 1/2 Λ^-2phif²(phi) and this regularization buys renormalizability in some range of epsilon > 0. (Auth.)