Journal of Statistical Physics, Vol. 66, Nos. 5/6, 1992. p. 1667-1673.
For a class of models with Ginzburg Landau-Wilson functions of a local form it is proved that the spectrum of a renormalization group operator which is linearized near a fixed point is discrete, real, and limited from above. In the framework of a local model, critical exponents for the limit n=oo are calculated.