On the Representations of the Rotation Group

In a recent article (V. Bargmann, Comm. Pure Appl. Math., 14: 187(1981)) a family of Hilbert spaces were studied whose elements are entire analytic functions of n complex variables. The methods developed therein appear appropriate for a fairly effortless treatment of the representation theory of the rotation group. Further applications of these methods are considered. (W.D.M.)