查询词典 integration operator

These problems include the selfadjointness of the coefficient matrix operator, the functional of the matrix operator equation, the equivalence between variational problem and boundary value problem of eddy-current fields, and the extreme value principle of the functional.

本文首先从求解时谐涡流场的〓-ψ法与〓-Ω法的矩阵算子方程出发，提出了时谐涡流场的统一矩阵算子方程，进而系统地讨论了该方程的系数矩阵算子的自伴性、矩阵算子方程的泛函、涡流场边值问题与对应变分问题的等价性以及泛函的极值原理。

The main subjects of the volume include:- spectral analysis of periodic differential operators and delay equations, stabilizing controllers, Fourier multipliers;- multivariable operator theory, model theory, commutant lifting theorems, coisometric realizations;- Hankel operators and forms;- operator algebras;- the Bellman function approach in singular integrals and harmonic analysis, singular integral operators and integral representations;- approximation in holomorphic spaces.

卷包括：主要课程-定期微分算子和延迟方程谱分析，稳定控制器，傅立叶乘数；-多变量算子理论，模型论，换位解除定理，coisometric变现；- Hankel算子和形式；-算子代数；-在奇异积分和谐波分析，奇异积分算子和积分表示贝尔曼函数方法；-在全纯空间近似。

In this paper, the difference of compact operator on p-Bloch space and little p-Bloch space of polydisc will be considered, and we will give a sufficient condition for the compactness of the difference of compact operator, and then prove it.

本文主要研究了多圆柱上p-Bloch空间之间及小p-Bloch空间之间的复合算子的差分形式，给出了它有界性和紧性的一个充分条件。

Finally we discuss the collectively compact Toeplitz operator sequences on Dirichlet space.it extend the single compact operator.

最后对Dirichlet空间上的Toeplitz算子序列的总体紧性进行了刻画，这是单个算子情形的推广。

For given A, B and C, when C is a compact operator, we give the sufficient and necessary condition under which Mx is left invertible, for some operator X.

3当C∈K时，分别讨论了对一切X∈B，都有M_X左可逆的充要条件和存在X∈B使得M_X左可逆的充要条件。

In the second chapter, the KDV type equation on unbounded domain is considered. Applying with the method of decomposing operator and the theory of constructing some compact operator in weighted space, the existence of exponential attractor is obtained.

在第二章中，运用带权空间构造一类紧算子和算子分解的方法，研究了无界区域上的KDV型方程，得到了该方程指数吸引子的存在性。

In the second chapter, the suspension bridge equation on unbounded domainR1 is considered. Applying with the method of decomposing operator and thetheory of constructing some compact operator in weighted space, the existenceof global attractor is obtained.

在第二章中，运用带权空间构造一类紧算子和算子分解的方法，研究了该方程在无界区域R1上的情形，得到了其全局吸引子的存在性。

The title of this article is the estimate of the essential norm of a compositionoperator between Bloch-type spaces in the unit ball of C^n. That is to say, making useof the tool of the essential norm ,we get the upper estimate and the lower estimate ofthe composition operator which we have studied .In addition, we get a sufficient andnecessary condition for the composition operator to be compact.

本文主要讨论了单位球上Bloch型空间之间复合算子的本性模估计，即用本性模这个工具来研究复合算子并给出了我们所研究算子的本性模的上界和下界估计，并由此可以得到相应算子紧的充要条件。

Theorem4.5 Let A be a compact normal operator, is an isolated point in Prop4.13 Let A be a compact normal operator, AO is an isolated point in a.

i20 其中（入，…＼＊为一川的所有的互不相同的孤立点。命题4.13设A是紧正常算子，人。一0是a…）的＄良立点。

In order to find a stable approximate solution of linear compact operator equation, the article introduces general theories about ill-posed problems, it bases on spectral theory of self-adjiont compact operators and the singular value decomposition for compact operators, avails singular system to give expression of the solution, and explains ill-posedness of compact operator equation roots in the property that the singular values trends to zero. Thereout, it is provided with theoretic support of building up regularization method by inducting regularization filter to weaken or filtrate the influence that the nature of the singular value being very close to zero has on the solutions stability.

为了得到线性紧算子方程稳定的近似解，介绍了不适定问题正则化的一般理论，以自伴紧算子的谱分析与紧算子奇异值分解为理论基础，利用奇异系给出了解的表达式，说明了紧算子方程不适定性的根源在于紧算子的奇异值趋于零的性质，由此通过引入正则化滤子函数来减弱或滤掉奇异值趋于零的性质对解的稳定性的影响，构造正则算子，从而提供了建立正则化方法的理论依据。

Although translator has turned from being a crystal ball by which the original culture can unrestrainedly penetrate to another crystal ball by which the target culture can freely traverse, the translator's personal embodiment, in the process of cognitive act, are still absent in translation studies. Translators are still subjects without body or simply disembodied subjects.

译者虽然由原语文化可以自由穿透的玻璃球变成了译语文化可以自由穿越的玻璃球，但译者认知过程中的个体体验在翻译研究中依然缺席，译者依然仅仅是一个没有躯体体验的主体。

Chillingly, he claimed our technology is 'not nearly as sophisticated' as theirs and "had they been hostile", he warned 'we would be been gone by now'.

令人毛骨悚然的，他声称我们的技术是'并不那么复杂，像他们一样，和"如果他们敌意"，他警告说，'我们将现在已经过去了。