与单位圆上的自同构群相关联的小波(英文)

WAVELETS ASSOCIATED WITH THE AUTOMORPHISM GROUP OF THE UNIT DISK

ＳＵ（１，１）＝ＫＡＫ是复平面上的单位国 Ｄ的自同构群的Ｃａｎｔａｎ分解．它在Ｌ^（ｋ，２）（Ｄ）上有一个自然的酉表示．在这篇文章里我们给出了与群ＳＵ（１，１）相关联的可允许条件的特征刻划和函数空间Ｌ^（Ｋ，２）（Ｄ）的正交直和分解．

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).