6 BEL A SZ.-NAGY Because o f (1.3.1 ) w e therefor e hav e (1.4.7) Q * = U ~ UT*)§. As M + (Q) i s invarian t fo r U + i it s orthogona l complemen t i n ft + , tha t i s § , i s invariant fo r L / + . A s b y th e dilatio n propert y w e hav e P^U + \1Q = T , w e conclud e tha t (1.4.8) T * = tf*|§. We clos e thi s sectio n b y observin g tha t becaus e o f th e relation s oo - 1 »= V u n §= V u n ®+ _ o o —oo we obtain , fro m (1.4.5) , th e followin g alternativ e decompositio n o f ft: d.4.9) ft = AKC^) e s t We shal l us e th e abov e decomposition s o f th e space s ft + an d ft, an d th e relatio n (1.4.8) betwee n T an d U + t o construc t a functiona l mode l fo r T .

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