unitary representation
1.Let SU (1, 1) =KAK be the Cantan decomposition of the automorphism group of the unit disk D on the complex plane. It has a nutural unitary representation on L~(K,2) (D). In this paper, we give the characterization of the admissible condition associated with the group SU (1. 1) and the orthogonal direct sum decomposition for the function space L~(k,2) (D).
