The study of analytic function spaces in several complex variables is not only shorter than the study of analytic function space in one complex variable , but also the characterizations of function properties on analytic function spaces have been much complete 在多复变数中，对于解析函数空间h ~ p 、 d ~ p等的研究，历史虽没有单复变长，但空间中解析函数的刻划，也已达到了较完美的程度。
Some basic concepts and results are stated . in chapter 2 , a kind of quasi - linear iterative equations has been discussed . existence , uniqueness and stability of the continuous solutions of the equation are proved by using fixed point theorem 在本文的第二章中对一类拟线性迭代方程进行了讨论，运用函数空间上的不动点定理给出了方程连续解的存在性，并进一步研究了解的唯一性和稳定性。
The feed back procedure neural network structure is researched . in the course of research of pnn algorithm , applying the concept of vertical base function , integral operation is convert to additive operation and complicated aggregation in time field is avoided 在过程神经元网络的算法研究中，应用函数空间正交基的概念，可将积分算子变换为求和算子，从而有效避免了繁杂的时域聚合运算。
An alternate proof about its existence and uniqueness and its explicit represention are given , especially the rational interpolation formulas for simple konts and double konts , and the algorithm complexity in case of double konts is improved from o ( n ~ 2 ) to o ( n ) 首先,介绍了cv ( cauchy - vandermonde )有理函数插值公式,给出了cv有理函数空间上插值问题解的存在唯一性定理的另一种简单证明和显式表示
Six distinguished computer experts including scott defined the weight of continuous lattices in the first reference and proved that the three kind of weights ? ei g ht of continuous lattices , weight of the related scott topological space and weight of the related lawson topological space , are consistent 证明了几类分配的domain范畴即sdscs 、 sdccs 、 sdacs是slp的闭的满子范畴，指出在slp的满子范畴中指数对象同构于稳定映射所成的函数空间。
In order to avoid the difficulty in computing the general inverse of flexible matrix in legendre transformation , this paper studies the mixed coordinates formulation for some quadrilateral plate bending elements instead of fully formulating in ( e , n ) plane for their original plane elasticity elements 为了克服legendre变换中对单元柔度阵求广义逆的困难，对于原平面弹性单元是在参考坐标系中列式的情形，本文研究了在弯矩函数空间的混合坐标列式。
Based on the decomposition of function space , mallat established the theory of multi - resolution when he research the image processing , which we can obtain the useful information through the characteristic of multi - scale of quadrature wavelet . the thoery of multi - resolution contacts the wavelet transform with the engineering application , which gives not only simple way of the structure of quadrature wavelet but also the academic basis of fast arithmetic on wavelet transform Mallat在研究图像处理时，从函数空间的分解出发，用正交小波基的多尺度特性将图像展开，获得有用信息进行处理，从而建立多分辨率分析理论。多分辨率分析不仅为正交小波基的构造提供了一种简单的方法，而且为正交小波变换的快速算法提供了理论依据，将小波变换与工程实践联系起来。
M . m . nessibi and k . trimeche studied the theory of generalized wavelet transform on the underlying manifold of square integrable radial functions space on the heisen - berg group hn . they constructed an inversion formula of the radon transform on the underlying manifold by means of generalized wavelet M . m . nessibi和k . trim che研究了海森堡群h _ n上平方可积径向函数空间，在其基础流形上建立了广义小波变换理论；并利用所引进的广义小波，得到radon变换在该空间上的一个逆公式
In the second chapter we study the properties of the weighted dirichlet - type spaces and composition operators on them . we not only characterize these spaces by taylor series , but also give sufficient and necessary conditions in terms of carleson measure for the boundedness and compactness of composition operator . moreover , we apply the comparability propositions which induced from above sufficient and necessary conditions to discuss the relationships between the compactness of composition operator cv and angular derivative or innerness of the inducing function , and so on 本文讨论了一类函数空间相互的包含关系，而对其中的加权dirichlet型空间，不但给出了空间的相互包含关系，并且对它进行了级数刻画；利用carleson测度，刻画了加权dirichlet型空间上复合算子的有界性及紧性，并利用由此得到的比较性命题讨论了复合算子的紧性与角导数，内函数等的关系。
Third , generation rule device in this model also uses the genetic algorithm to generate rule . but this genetic algorithm is different from the genetic algorithm used to optimize bp nerve network . their different point is that space of solution in this genetic algorithm isn ’ t a simple number value and space of string , but a space of function 第三、该模型中的规则生成器也是使用遗传算法来生成规则,但是这里的遗传算法和遗传算法优化bp神经网络模块中的遗传算法不同之处在于此遗传算法的求解空间不是简单的数值与符号空间而是函数空间,它所得到的结果不是一个简单的定长字符串,而是表示待求解问题的一个求解模型的字符串。
