Spectral theorem

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

良有界算子及其谱定理的新证明

Generalization and Improvement of the Weyl Spectral Theorem

Weyl谱定理的推广及改进

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

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。

The boundary value problems for singular second order differential equations are investigated , and the Weyl spectral theorem relating the addressed problems is generalized and improved .

对Weyl关于二阶奇异微分方程边值问题谱性质的一个定理进行了推广和改进，使得所讨论的方程形式更一般且结果更详细。

The cheapest way to get one is to invoke the spectral theorem and to conclude that normal operators always have non-trivial invariant subspaces .

取得这样结果的最省力的尝试是引用光谱定理而得到正规算子恒有非平凡不变子空间的结论。

Firstly , we give some technologies and notations , and introduce the definitions of approximate point spectrum , positive operator , Moore-penrose inverse etc. Subsequently we give some well-known theorems such as the Lyapunov theorem , polar decomposition theorem and spectral theorem .

首先我们介绍了一些符号的表示意义，接着引入了算子近似点谱，正算子，Moore-penrose广义逆等概念，而后给出一些广泛熟知的定理如Lyapunov定理，极分解定理，谱定理等。

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

本文利用Rolle定理证明了一个差值取样谱函数定理。

Local spectral mapping theorem for closed operators

闭算子的局部谱映射定理

On the Spectral Distribution Theorem of Partitioned Matrices Estimation of Spectral Power Distribution of Illumination and Color Classification

关于分块矩阵的谱包含性质光照光谱功率分布的估计和颜色分割

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

证明任何C0群的生成元都满足谱映射定理；

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 .

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。

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 .

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。

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 .

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。

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 .

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。

For the given sample points , and matrix formed by covariance function with sample points as parameters , when the number of sample points approaches infinite , it is proven that this matrix spectrum will approach the spectral approach theorem for positive-definite kernel of integral equation .

对给定的样本点，由样本点为变量的协方差函数构成的矩阵，当样本点个数趋于无穷大时，证明此矩阵谱逼近于积分方程正定核的谱逼近定理。

In this paper , we give an improved spectral inclusion region theorem of Cassini 's ovals , and discuss the corresponding isolation theorem and boundary prob-lems . There results improve and generalize the corresponding theorems in [ 1-4 ] .

本文给出了改进的Cassini卵形谱包含域，讨论了相应的隔离定理及边界问题，所得结果推广了文[1-4]的相应定理。

A New Estimation of Upper for Spectral Radius in Brauer Theorem

Brauer定理中谱半径上界的新估计

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

K-正则预解算子族的谱映象定理