Analysis on the minimal representation of O(p,q) II. Branching laws
Analysis on the minimal representation of O(p,q) II. Branching laws
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DOI：
10.1016/s0001-8708(03)00013-6
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发表时间：
2001-11
影响因子：
1.7
通讯作者：
Toshiyuki Kobayashi;B. Orsted
中科院分区：
文献类型：
--
作者：
Toshiyuki Kobayashi;B. Orsted
这是第二个文件在一系列致力于最小酉表示的O（p，q）。利用伪黎曼流形共形几何的显式方法，得到了将极小酉表示限制在自然对称子群上所对应的分支律。在纯离散谱的情况下，我们获得了全谱并给出了显式的Parseval-Plancherel公式，在一般情况下，我们构造了无限离散谱。
This is a second paper in a series devoted to the minimal unitary representation of O(p,q). By explicit methods from conformal geometry of pseudo Riemannian manifolds, we find the branching law corresponding to restricting the minimal unitary representation to natural symmetric subgroups. In the case of purely discrete spectrum we obtain the full spectrum and give an explicit Parseval–Plancherel formula, and in the general case we construct an infinite discrete spectrum.