RESOLUTIONS OF THE IDENTITY IN TERMS OF LINE INTEGRALS OF SU(1,1) COHERENT STATES

Resolutions of the identity in terms of contour integrals that involve SU(1, 1) coherent states and their 'complementary states', are derive d. The complementary states are auxiliary states that help in the form ulation of these resolutions of the identity. Since the SU(1, 1) coher ent states are normalizable inside the unit disc and the complementary states are normalizable outside the unit disc, enlargements of the Hi lbert space are considered which allow the construction of resolutions of the identity in terms of contour integrals in rings 1 - epsilon(2) < \z\ < 1 + epsilon(1). Several examples of our formalism are present ed.