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The properties of the ``local representations'' of the rotation group corresponding to complex angular momentum are further developed. Completeness and bi-orthogonality relations are derived and a reduction of products is carried out, giving a generalization of the Clebsch-Gordan reduction. The connection with the representation theory of the group SL(2,R) is considered and a generalization of Regge's use of the Sommerfeld-Watson transform is made to the case where three momentum transfer variables occur in the description of scattering amplitudes.
Andrews et al. (Thu,) studied this question.