查询词典 hilbert modular function

The condition of squeezing is found, and the relation between antibunching effect and the dimensionality of the Hilbert space is shown by using numerical calculation.

理论计算表明该量子态存在压缩效应和反聚束效应，这与通常的无限维空间中的广义相干态是完全不同的。

In the chapter 7, by virtue of Ky Fan's results in operator spectral theory, we convert several meaningful conclustions in the theory of Holomorphic fucntions into the corresponding results of operator functions in Hilbert space.

在第7章中，我们应用算子谱集理论中的Ky Fan关于Von Neauman不等式的一个结果，把解析函数论中一些有意义的结论转化到Hilbert空间的算子函数上来建立相应的结果。

The quaternion signal model was constructed through the separated signal and its Hilbert transform. The corresponding four order cumulant was defined to restrain the additive Gauss noise and the frequency was extracted using the properties of Hamilton quaternion and hypercomplex.

并根据该模型利用特殊的四阶累积量切片分析了加性高斯有色噪声中二维谐波频率估计及联合Hamilton四元数和超复数在二维谐波频率估计中的应用前景。

Specially, in Hilbert spaces, some necessaryand sufficient conditions are given in terms of the uniformly square integrability anduniform boundness of the resolvent on the imaginary axis respectively. Furthermore,we consider this robustness fordifferential equations with unbounded operatorin the delay term.

我们进一步研究了时滞项含无界算子的抽象微分方程的小时滞鲁棒稳定性，获得了一些充分必要条件，并应用所得结论讨论了具解析半群生成元的时滞系统。

The research of this thesis focuses on spectral complements of operator matrices, the Moore-Penrose inverse and Drazin inverse of projections in a C~*-algebra, Weyl theorem and infimum and generalized infimum of quantum effects on a Hilbert space.

本文研究内容涉及Hilbert空间中算子矩阵的谱补、C~*代数上投影算子的Drazin逆及Moore-Penrose逆、Banach空间上算子的Browder定理和Weyl定理、Hilbert空间中量子效应的下确界和广义下确界四个方面的内容。

And if H is an infinite dimensional Hilbert space, it is an inner derivation; Finally we get the same results when the nest is non-trivial.

首先证明了作用在Hilbert空间上的B上的r-Jordan可导映射是一个可加导子，并且当Hilbert空间是无限维时，它是一个内导子；最后在N≠{{0}，H}的情况下得到了相同的结论。

And then characterize the Jordan semi-triple derivable maps on the set of all linear bounded operators actingn on an infinite dimensional Hilbert space, then prove that it is additive and so is an inner derivation.

并且对作用在无限维Hilbert空间上的有界线性算子的全体上的拟三重Jordan可导映射进行了刻画，证明了它是一个内导子。

Chapter 1 presents the concepts of normed linear spase, Banach spase, inner product spase and Hilbert space.

而为了讨论向量序列的极限，必须引入向量的范数。这样就有了赋范线性空间的概念。

So an inner product space is automatically a normed linear space, and a Hilbert space is automatically a Banach space.

我们定义了线性映射的厄米共轭：对所有的，，(1)从而定义了中的内积：对(2)注意，由(1)可见与不同。

Reproducing kernel Hilbert space ; inner product ; orthonormal basis

再生核Hilbert空间；内积；正交基

Now he worked in ajoint venture.

现在他在一家合资企业工作。

More troops in Afghanistan won't change any of the foregoing.

更多的在阿富汗的军队也不会改变之前的状况。