1) square integrable unitary representation
平方可积酉表示
2) Square integrable representation
平方可积表示
3) Irreducible unitary representation
不可约酉表示
1.
Let {(π λ,H[WT5 BX] λ);λ∈R 1 }} be the equivalent class of infinite dimensional irreducible unitary representations of H n[WT5 BZ].
设｛（πλ，Ｈλ）；λ∈Ｒ１＼｛０｝｝是Ｈｎ的无穷维不可约酉表示等价类。
4) unitary matrix representation
酉表示
1.
The properties of T G M(A), T G M is defined by T G M(A)=∑σ∈GM(σ)∑mt=1a tσ(t) where T G M denotes trace function derived from unitary matrix representation M of the group G, and G is a subgroup of the fule symmetric group S m.
讨论了TGM(A)的性质 ,这里G是m次对称群Sm 的子群 ,TGM(A)表示群G的酉表示M诱导的迹函数 ,定义为TGM(A) =∑σ∈GM(σ)∑mt =1 atσ(t) ,所得结果推广了TGχ(A)的性质 ,这里 χ是群G的特征标 。
2.
The properties of d G M (A), where d G M denotes matrix function derived from unitary matrix representation M of the group G , and G be a subgroup of the full symmetric group Sn.
这里Ｇ是ｎ次对称群Ｓｎ的子群，而ｄＧＭ表示群Ｇ的酉表示Ｍ诱导的矩阵函数。
5) unitary representations
酉表示
1.
Using the general theory of the unitary representations of nilpotent groups and the formulas of unitary representations of two_step nilpotent groups,we obtain the concrete representation of the distributions and convolution operators on two_step nilpotent Lie groups.
从幂零Lie群酉表示的一般事实出发 ,利用二步幂零Lie群的酉表示 ,给出了二步幂零Lie群上分布的群Fourier变换和卷积算子的具体表
6) unitary representation
酉表示
1.
The characters of irreducible unitary representations of non Abelian compact 0 dimensional groups and the convergence of Fourier series are studied.
研究非交换紧零维群上的不可约酉表示的特征和Ｆｏｒｕｉｅｒ级数的收敛性。
2.
It has a nutural unitary representation on L~(K,2) (D).
它在Ｌ~（ｋ，２）（Ｄ）上有一个自然的酉表示。
3.
This article is a brief introduction of the unitary dual problem—the classification of equivalence classes of irreducible unitary representations of Lie groups—its origin,history and most recent progress.
本文旨在介绍李群不可约酉表示分类问题的起源,历史与最新进展。
补充资料：平方
平方
square
平方【，卜.犯;拙叭paT]，数a的 积“·a=aZ;因为这个积表示边长为a的正方形的面积，所以称为“平方”.Ec3一3【补注】对a·a称“平方”(正如对a·a·a称“立方’一样)，是古希腊人从几何观点看待数的痕迹.杜小杨译
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条