Differential equations and an analog of the Paley-Wiener theorem for linear semisimple Lie groups

Differential equations and an analog of the Paley-Wiener theorem for linear semisimple Lie groups
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线性半单李群的微分方程和 Paley-Wiener 定理的模拟

DOI:
10.1017/s0027763000017529
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发表时间:
1976
影响因子:
0.8
通讯作者:
Kenneth D. Johnson
Kenneth D. Johnson
中科院分区:
数学2区
文献类型:
--
作者:
Kenneth D. Johnson

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设G是非紧线性半单李群。固定G = KAN是G的Iwasawa分解。即K是G的极大紧子群,A是具有AdA的向量子群,AdA由半单变换构成,A正规化G的单连通幂零子群N。
Let G be a noncompact linear semisimple Lie group. Fix G = KAN an Iwasawa decomposition of G. That is, K is a maximal compact subgroup of G, A is a vector subgroup with AdA consisting of semisimple transformations and A normalizes N, a simply connected nilpotent subgroup of G.