Abstract
Let .SU(1. 1) be the Mobius group, and K the maximal compact SU(1. 1). Then SU(1.1)/K can be regarded as the unit disk of complex plane In this paper, the unit disk is regarded as a homogeneous space, in the viewpoint of coherent state we give the admissible condition of admissible wavelet and the orthogonal decomposition of Lα,2(D,dμα).
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