算子函数

The fast Fourier transform technology is adopted to calculate the dyadic Green's operator and its adjoint operator during each iteration of CSI, which ensures the high efficiency of the algorithm in stratified medium.

CSI的每一次迭代过程均采用快速Fourier变换技术计算并矢Green函数算子及其共扼算子，确保了该算法在三维层状介质情况下的高效率。

In this research report, we mainly study the boundedness, compactness, weak compactness and other properties of composition operators on some analytic function spaces.

在本报告中，我们主要研究了一些全纯函数空间上复合算子的有界性，紧性，弱紧性和这种算子的一些其它性质。

The paper is organized as follows:In chapter 1 we give a brief review of approximation theory of operators,and present the corresponding research background.

本文由四章组成，其内容如下：第一章首先回顾了算子逼近论的发展及本文所做研究课题的进展情况，并简要介绍了本文的主要内容。第二章主要讨论了q-Bernstein算子对各种函数的逼近性质。

Firstly, the Voronovskaja type formula of asymptotic expansion of this kind of operators is given. Then the approximation of the bounded variation functions by the kinds of operators is discussed.

第一节给出该算子的Voronovskaja型渐近展开公式；第二节讨论该算子对有界变差函数的逼近。

From our results, it can be known that the weakly asymptotic order of the information-based algorithm whose recover function is the classical Bernstein interpolation sequence is below that of the corresponding minimal information radius whose permissible information operator is function value.

通过我们的结果可以知道，以经典的Bernstein多项式算子列作为计算恢复函数的信息基算法，其在Wiener空间(或1-重积分Wiener空间)下的的平均误差的弱渐近阶均低于相应的以函数值计算为可允许信息算子的最小平均信息半径的弱渐近阶。

When seismic wavelet is in non-minimum phase , we can make it have smaller phase by doing exponential weighting . As for nonwhite noise problem of reflection coefficient , we may employ logarithmic power spectrum to estimate the autocorrelation function of seismic wavelet , then obtain seismic wavelet and deconvolution opera .

当地震子波为非最小相位时，可利用指数加权方法使之小相位化；对于反射系数非白噪声问题，本文提出利用对数功率谱来估算地震子波的自相关函数进而求取地震子波以及反褶积算子的方法；对于理想的期望子波，本文采用"宽带雷克子波"作为期望输出子波。

In chapter four,we investigate the compactness of comm-utators of CZO and fractional integral operator with VMO functions.

本文第四章研究Calderon-Zygmund算子和分数次积分算子与VMO函数的交换子的紧性问题。

In this paper,we study the boundedness of multilinear commutators of singular integral operators and fractional integral operators with smooth functions.

本文主要研究奇异积分算子和分数次积分算子与光滑函数生成的多线性交换子的有界性问题。

In chapter 1,we simply introduce the development in the study of the boundedness of multilinear commutators of singular integral operators and fractional integral operators.

第2章讨论奇异积分算子和分数次积分算子与Besov函数生成的交换子在L~d上的映射性质。

This article adopts LOG operator as edge-detect operator. First, Guass operator is used to smooth the original image and reduce the noise, then Laplace operator is applied to the result smoothed, thus the anti-noise function of the algorithm is improved.

本文采用LOG算子作为边缘检测算子，首先对原始图像用Gauss函数平滑去噪，然后用Laplace算子作用于平滑后的结果，提高了算法的抗干扰性。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。