The Large Field Renormalization Operation for Classical N-Vector Models

A renormalization operation of the large field densities for the classical $N$-vector models is constructed in this paper. It allows to improve bounds of these densities, and thus to prove all inductive hypotheses. This completes the construction and analysis of the full renormalization group flow for these models. The results will be used in the next paper to analyze the correlation functions. Received: 2 February 1998 / Accepted: 12 February 1998