向量值广义Segal-Bargmann空间上具有正算子值符号的Hankel算子（英文）

本文主要研究向量值广义Segal-Bargmann空间上具有正算子值符号的Hankel算子的有界性和紧性.这些性质分别是通过研究有界平均振荡算子和消失平均振荡算子的方法来得到的.同时我们利用Berezin变换定义了BMO_φ~2空间和VMO_φ~2空间,并刻画它们的几何性质.     

分块算子矩阵的加权EP

本文在加权广义Schur补的基础上, 引入并研究了Hilbert空间上分块算子矩阵的加权Moore-Penrose逆和加权EP. 进一步, 给出了加权EP算子在算子方程中的一个应用.     

ON THE ESSENTIAL SPECTRUM OF PSEUDODIFFERENTIAL OPERATORS （Ⅱ）

This paper coutinues the studies of the essential spectrum of nonsemi-bounded pseudodifferential operators. The author improves the results in [5] in some sense. For the relativistic Schrodinger operator,√(-Δ+m^2)+v(x),complete results are obtained.     

关于B-凸空间及其上黎斯算子West分解

给出 Ｂａｎａｃｈ空间列｛Ｘｉ｝ｉ＝１∞的 ｌｐ乘积Ｂ－凸的特征刻划, 证明Ｂ－凸空间上的每个黎斯算子可Ｗｅｓｔ分解,即分解成一个紧算子和一个拟幂 零算子的和．     

基于模糊算子的红外图像去模糊研究

针对镜头抖动,目标移动等因素引起的图像运动模糊问题,本文提出了一种基于模糊算子的红外图像去模糊算法,使用深度自编码网络对数据集中的模糊算子进行编码,通过编码后的模糊算子去逼近一个未知的模糊算子并搜索对应的清晰图像,从而实现真实场景下红外图像去模糊,弥补了现有基于深度学习的图像去模糊模型在跨域应用时对真实场景下运动模糊图像去模糊效果较差的不足。在红外图像上的实验结果表明,相比于其他去模糊算法,本文提出的去模糊算法取得了更高的性能指标,恢复出的图像有着清晰的边缘轮廓和局部细节,显著提升了红外图像的清晰度。     

高超声速目标尾迹对GNSS信号的衰减特性研究

高超声速目标在临近空间飞行时,目标周围及尾迹区域中电离形成的等离子体对卫星信号的传播会造成较大的衰减,这一现象有助于针对高超声速目标的被动式雷达探测。为研究全球卫星导航系统（Global Navigation Satellite System, GNSS）信号在鞘套尾迹中的衰减特性,采用计算流体动力学模拟了高超声速目标在不同飞行条件下的三维绕流流场,并以此建立绕流流场电磁模型。然后通过改进的移位算子时域有限差分方法（Shift Operator Finite?Difference Time?Domain, SO?FDTD）仿真计算GNSS信号在目标流场尾迹中的衰减特性,并绘制了信号通过流场后的透射系数分布图。仿真计算发现,临近空间高超声速目标尾迹对GNSS信号有明显的衰减作用,GNSS信号载波频率、目标飞行的高度和速度对GNSS信号透射系数的大小及分布结构均会带来影响。该研究中的结论为基于GNSS的临近空间高超声速目标无源探测提供了一定依据。     

LapRLSR for NIR spectral modeling and its application to online monitoring of the column separation of Salvianolate

A novel near infrared (NIR) modeling method—Laplacian regularized least squares regression (LapRLSR) was presented, which can take the advantage of many unlabeled spectra to promote the prediction performance of the model even if there are only few calibration samples. Using LapRLSR modeling, NIR spectral analysis was applied to the online monitoring of the concentration of salvia acid B in the column separation of Salvianolate. The results demonstrated that LapRLSR outperformed partial least squares (PLS) significantly, and NIR online analysis was applicable.     

C-半群的Lumer-Phillips定理与C-Hermitian算子

本文给出了稠定闭算子A(或A的扩张)生成压缩C-半群的充分条件,且在C是等距算子时,证明了该条件是必要的,推广了Lumer-Phillips定理.并用结果刻划了等距C-群的生成元.     

RESERVOIR DESCRIPTION BY USING A PIECEWISE CONSTANT LEVEL SET METHOD

We consider the permeability estimation problem in two-phase porous media flow. We try to identify the permeability field by utilizing both the production data from wells as well as inverted seismic data. The permeability field is assumed to be piecewise constant, or can be approximated well by a piecewise constant function. A variant of the level set method, called Piecewise Constant Level Set Method is used to represent the interfaces between the regions with different permeability levels. The inverse problem is solved by minimizing a functional, and TV norm regularization is used to deal with the ill-posedness. We also use the operator-splitting technique to decompose the constraint term from the fidelity term. This gives us more flexibility to deal with the constraint and helps to stabilize the algorithm.     

缺项3×3阶上三角算子矩阵的可能点谱

基于值域的稠密性和闭性,有界线性算子的点谱可进一步细分为互不相交的四个组成部分,即四类点谱.针对3×3阶上三角算子矩阵,结合分析方法与算子分块技巧给出了四类点谱的可能谱.