广义函数

广义函数空间E′上的乘子

Multipliers on the space E ' of distributions

一类广义函数的Fourier变换

The Fourier Transform of a Sort of Generalized Function

系统函数是能够从诸如Windows或者Linux这样的特定平台中抽象出来的广义函数。

System functions are generalized functions that can be abstracted out to the particular platform , for instance , Windows or Linux .

利用广义函数的Fourier展开，讨论了此类梁在不同形式载荷作用下的强迫振动响应。

Forced vibration responses of such beams under action of different type loads are discussed with Fourier expansion of generalized functions .

我们在K1~中讨论常系数非齐次线性微分方程，使用广义函数的卷积理论和方程降阶方法，给出这类方程统一的公式解。

We discussed the nonhomogeneous linear differential equations with constant coefficient in K1 and gave thier unitary formula solution by use of convolution theory and equation descending order method .

这种潜在变量的多样性促使jQuery创建了一种广义函数来访问它们。

This diversity of potential variables has caused jQuery to create a generalized function to access them .

令S（R）和S~（R）分别表示R上的Schwartz速降光滑函数空间和Schwartz缓增广义函数空间；

Let S ( R ) and S ~ ( R ) be the Schwartz space of rapidly decreasing smooth functions and the space of tempered distributions on R respectively .

应用广义函数的理论讨论了比上半平面Hp（p>0）函数广泛的一类解析函数其分布意义下的边值的存在性。

Using the theory of distribution , the existence of distributed boundary value of a set of analytic function , which is more extensive than Hp ( p > 0 ) function in upper ha lf-plane , is discussed .

利用广义函数理论证明了一类广义Radon变换及其对偶变换在分布空间上的连续性；

In this paper , the continuity of the generalized Radon transform and its dual transform is proved on ( Rn ) and e ( R X Sn-1 ) respectively by means of the . theory of distribution .

利用复Fourier级数的卷积及广义函数论，推导出圆孔无限大板在边界弯曲时对应于常见3种孔边界条件的挠度解析公式。

By means of the convolution of the complex Fourier Series and the generalized functions , the deflection analytical formulas are produced for the infinite plates with a unit circle under the boundary loads and the three common conditions at the unit circle edge .

根据自适应同步法与线性系统的稳定性理论及Lyapunov稳定性理论讨论了一些比较经典的混沌系统与超混沌系统的修正投影同步、函数投影同步问题和广义函数投影同步问题。

By using the adaptive control law and the stability theory of linear system and combining with the Lyapunov stability theory , we discuss the modified projective synchronization 、 function projective synchronization and the generalized function projective synchronization of some classic chaotic ( or hyperchaotic ) systems .

Hida于1975年开创，该理论本质上是一种无穷维的Schwartz广义函数论，有着深刻的物理背景，近年来得到了数学物理界的广泛关注。

Hida in 1975 . In essence , it is an infinite dimensional Schwartz distribution theory , which has a deepgoing physical background and has been getting much attention in recent years .

离散复镜像方法采用广义函数束方法将谱域格林函数表示成指数函数的线性组合，并使用Sommerfeld恒等式得到空间域的闭式格林函数。

The generalized Pencil-of-Function method is employed to approximate the spectral domain Green 's functions by a linear combination of exponential functions . With the Sommerfeld identity , the spatial domain closed-form Green 's functions are obtained .

基于镜像学习和复合二次距离的手写汉字识别跨界面目标电磁散射Sommerfeld积分的双重广义函数束拟合离散复镜像方法

Handwritten Chinese character recognition based on mirror image learning and the compound Mahalanobis function A novel approach of dual GPOF / DCIM for fast computation of the sommerfeld integrals and electromagnetic scattering from an object partially embedded in dielectric half-space

理论分析从两种方法的控制方程出发，采用广义函数方法对方程源项进行整理和比较，证实在线性区域Kirchhoff方程可视为FW-H方程的有效近似。

Using general function theory , the source terms of FW-H equation and Kirchhoff equation are rearranged and compared . It is shown that the Kirchhoff equation can be taken as a reasonable approximation of FW-H equation provided that the control surface is located in the linear flow region .

广义函数论在厚板弹塑性动力分析中的应用

Application of generalized function to dynamic analysis of elasto-plastic thick plates

关于Mikusiski算符与广义函数等同概念的一点补充

A complement on the equated concept between mikusinski 's operators and distributions

广义函数在函数方程稳定性问题上的应用

Applications of Stability of Quadratic Functional Equation in Generalized Function

本文提出一种新的包含有二个独立参变量的广义函数。

A new generalized function is suggested which contains two independent parameters .

几种类型广义函数的对偶性

The duality property of several kinds of generalized functions

结构优化的广义函数方法及应用

A generalized function method for structural optimization with Applications

局部紧阿贝尔群上的势位论和一种推广的广义函数

The Potential Theory and a Class of Generalized Distributions on a LCA Group

一种新的广义函数用于线天线阵综合

A New Generalized Function for Linear Array Synthesis

空间S上缓增广义函数付氏变换的一个初等方法

An Elementary Method of the Fourier Transformation of Tempered Distribution on the Space S

广义函数框架下的小波变换及其性质

Wavelet Transform Under the Framework of Distribution

弹性支承桩受迫振动问题广义函数解及应用

A generalized solution to the vibration of elastic supporting foundation pile under exciting force and its application

利用广义函数的概念构造出热传导方程柯西问题的解。

A solution of Cauchy 's problem of heat conduction equation is constructed with the concept of generalized function .

在非标准分析框架下，用离散函数定义新广义函数，用差商定义其导数。

By using nonstandard analysis , we define new generalized functions as discrete functions , and their derivatives are defined as difference quotients .

利用广义函数建立了阶梯形文克尔地基梁横向弯曲自由振动和强迫振动的微分方程，并求得其通解。

Differential equations of transverse bending free and forced vibrations of stepped beam on Winkler 's foundation are established by using generalized functions .

提出一种具有应用前景的广义函数多目标规划模型。

In this paper , we present first a class of distributions multiobjective programming model ( short for DMPM ) which is in prospect of applying .