Harmonic analysis on SO(n, C)/SO(n-1, C), n ≥ 3

被引：0
|
作者：
Secanellas, Sofia Aparicio [1 ]
机构：
[1] Leiden Univ, NL-2333 CA Leiden, Netherlands
来源：
ACTA APPLICANDAE MATHEMATICAE | 2006年 / 90卷 / 1-2期
关键词：
harmonic analysis; invariant Hilbert subspaces; Plancherel formula; complex orthogonal group;
D O I：
10.1007/s10440-006-9028-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we compute the Plancherel measure for SO(n, C)/SO (n - 1, C) following the approach of Van den Ban. This result is required in order to calculate the explicit decomposition of the oscillator representation wn for the dual pair G = SL(2, C) x SO(n, C) and to prove that every wn(G)-invariant Hilbert subspace of the space of tempered distributions decomposes multiplicity free.
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页码：3 / 17
页数：15
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