谱定理

Weyl谱定理的推广及改进

Generalization and Improvement of the Weyl Spectral Theorem

良有界算子及其谱定理的新证明

Well-Bounded Operators and a New Proof of Spectral Theorem for Them

复随机内积模上一类算子的谱定理

Spectral Theorems of A Class of Operators Defined on Complex Random Inner Product Modules

在时移问题上，通过相关函数、卷积定理和功率谱定理来理解并矢时间这一新概念的意义。

On the time shift problems , the significance of the new concept of dyadic time has been interpreted .

证明任何C0群的生成元都满足谱映射定理；

It is shown that the generator of any C_0-semigroup satisfies the spectral mapping theorem ;

双连续n次积分C-半群的谱映照定理

Spectral mapping theorems for bi-continuous N-times integrated C-semi-groups

本文利用Rolle定理证明了一个差值取样谱函数定理。

A Difference sampling Spectral Function Theorem is proved by the Rolle theorem .

介绍了求解Hermitian矩阵特征值问题的数学原理，并给出并行化方法及相应的算法。这篇小文，继续前面的工作，给出有关的谱映射定理。

The numerical theorem for solving Hermitian metric eigen-problem is introduced in this paper . And also , the parallelizing method and algorithm is provided .

由平稳随机过程谱表示定理导出了平稳随机过程蒙特卡罗模拟的一个快速Hartley变换方法。

Based on the spectral representation theorem of stationary stochastic processes , in this paper , a method is propesed for Monte Carlo simulation of stationary stochastic processes by the fast Hartley transform .

本文用Anosov伪轨族跟踪定理证明了在双曲回归集中周期点的稠密性，并给出了双曲回归集的谱分解定理。

The density of periodic points in hyperbolic recurrent sets is proved by using Anosov theorem on families of pseudo-trajectories , and the spectral decomposition theorem of hyperbolic recurrent sets is given .

谱映像定理在欧氏空间中的另类证明

Another prove of spectrum mapping theory in Euclidean space

广义ε-相关免疫布尔函数的谱判别定理及其应用

The Spectral Distinguishing Theory of Generalized ε - Correlation-Immunity Boolean Function and Its Applications

局部可积半群的谱映射定理

The Spectral Mapping Theory for Locally Integrable Semigroups

正则余弦函数的谱映象定理

Spectral Mapping Theorems of Regularized Cosine Functions

闭算子的局部谱映射定理

Local spectral mapping theorem for closed operators

S&可分解算子的谱对偶定理

A Duality Theorem for S-Residually Decomposable Operators

完备赋准范空间上一类无界线性随机算子的谱分解定理

The Spectral Decomposition Theorems for a Certain Class of Unbounded Linear Random Operator in Complete Quasi-normed Linear Spaces

K-正则预解算子族的谱映象定理

Spectral Mapping Theorems of K-Regularized Resolvent Operator Families ON SPECTRAL MAPPING THEOREM OF ESSENTIAL SPECTRUM OF n-TUPLES OF OPERATORS

同时我们给出了文中用到的一些预备定理如谱分解定理，值域包含定理，指标连续定理等。

At last , we introduce some known theorems such as spectral theorem , range inclusion theorem , index theorem etc.

在此基础上，利用非负方阵的置换标准形证明了谱分解定理。

Based on this result , the spectral decomposition theorems are proved by using permutation canonical forms of nonnegative matrices .

传统方法是以时间频谱为基础，利用谱分解定理得到所需的成形滤波器结构，进而生成紊流递归模型。

The conventional method is to obtain the structure of the shaping filter by using decomposing theorem based on time related frequency spectrum .

本文利用随机内积空间方法给出了完备赋准范空间上一类无界线性随机算子的谱分解定理。

The spectral decomposition theorems for a certain class unbounded linear random operators in complete quasi-normed linear spaces are given by the method of random inner product spaces ;

本文给出一种算子组本质谱的定义，并证明关于它的谱映象定理。

In this paper , the author gives a definition of essential spectrum of n-tuples of operators and the proof of spectral mapping theorem of essential spectrum defined above .

定义了宽平稳量子随机过程的概念，获得了其谱分解定理.辅以统计物理学中的实例为基础。

In this paper we introduced the concept of " wider stationary quantum stochastic proces-ses ", obtained its spectrum decomposition theorem , based over an example in statistical mechanics .

应用希尔伯特空间上正规算子的概念，性质和谱分解定理，研究了多项式共轭算子的性质及正则值存在的充要条件。

The properties of the polynomial conjugate operator and the necessary and sufficient conditions for the regular valve to exist are studied by using spectral decomposition and properties of normal operator in Hilbert space .

对于二阶自伴系统，论文在利用谱分解定理得到相应的变换矩阵和对角矩阵后，探讨了当这些矩阵满足何种条件时系统可解耦。

For quadratic self-adjoint system , in the use of spectral decomposition theorem , this paper presents a new condition , when the corresponding transformation matrix and diagonal matrix meet the condition , the system can be decoupled .

宽平稳列谱密度存在定理的一个证明

The Proof Existence Theorem of Spectrol Density of Stationary Sequence

应用李亚谱诺夫稳定性定理证明了所提出控制方法的正确性。

This method is proven by Lyapunov theorem .

关于Banach代数元的谱的一个定理

On a theorem about the spectrum of a element in Banach algebra

采用同步误差的线性反馈作为脉冲信号，结合谱半径的稳定性定理采用合适的脉冲周期对系统进行了同步仿真实验。

The synchronization error of linear feedback is used as impulsive signal . Combining the stability theorem of spectrum , the suitable impulsive cycle is chosen for the synchronization simulation experiment .