> \,/8TI [I, 2, 4, 14, II), 20] and is not

The value \I81T for corresponds to the value a of the disjointness of Gaussian measures \vith Laplacian- of Theorems 6 and 7 was The recent result [II, 20] on tri,·iality of the = \,/8TI indicates that of the energy representation could also be expected for To handle irreducibility or reducibility for ilall of a quantized (Euclidean) nonlinear Theorem 4, one easily prmTs F' be two different Riemannian tlags of X. Under of Theorem 3, the basic energy representation L'r and Ur Ur defines a one- of Riemannian tlags of X into the unitary of D(X; G), and, more precisely, into the set of nonlocated and order on X. 3.6 RINGS OF GENERALIZED ENERGY REPRESENTATIONS