分解算子

In chapter 4 by means of the decomposition technique of Bojanic and Cheng together with some analysis methods we study rates of convergence of sequence of integral Baskakov operators for a class absolutely continuous functions.

第四章主要讨论了积分型Baskakov算子对绝对连续函数的逼近阶估计。在这章中主要利用经典的Bojanic-Cheng分解方法，结合分析技术，讨论了积分型Baskakov算子对绝对连续函数的点态收敛阶。

Based on wave propagation feature, this paper analyses 3D seismic migration algorithms such as alternating direction implicit method, LU decomposition method, and inverse operator approach method. The result shows that the alternating direction implicit method is fast but causes distortion in wave field extrapolation and affects image accuracy; however LU decomposition and inverse operator approach methods are fast while holding circular symmetry of wave field, and are promising in oilfield exploration and development.

在波的传播特征分析基础上，对交替方向隐式法、LU分解法、逆算子逼近法等三维地震偏移算法进行了分析研究，结果表明，交替方向隐式法虽然快捷但是在波场外推中明显产生畸变并影响成像的准确性，而LU分解和逆算子逼近法是保持波场圆对称特征前提下的快速算法，在油田勘探开发中具有较好的应用前景。

In the second chapter, the KDV type equation on unbounded domain is considered. Applying with the method of decomposing operator and the theory of constructing some compact operator in weighted space, the existence of exponential attractor is obtained.

在第二章中，运用带权空间构造一类紧算子和算子分解的方法，研究了无界区域上的KDV型方程，得到了该方程指数吸引子的存在性。

In the second chapter, the suspension bridge equation on unbounded domainR1 is considered. Applying with the method of decomposing operator and thetheory of constructing some compact operator in weighted space, the existenceof global attractor is obtained.

在第二章中，运用带权空间构造一类紧算子和算子分解的方法，研究了该方程在无界区域R1上的情形，得到了其全局吸引子的存在性。

In this paper we introduce some new definitions, they are the generalizations of those concepts in Lie theory, and we discuss initially the elementary properties of operator Lie algebras. Finally, the famous Jordan-Holder theorem and the uniqueness of decomposition theorem of operator Lie algebras are proved.

在这篇文章里，我们将李代数理论中的诸多概念加以推广，并初步地探讨了算子李代数的性质，最后还给出了算子李代数的一个分解定理，其唯一性也得到了证明。

Based on the table of matrix element of spectrum decomposition, the Helmhotz matrix can be decomposed by recursion of the direct solution. A numerical comparison has been made with the spectrum LU decomposition and direct solution.

通过与谱法分解和直解法在分解精度和分解速度两方面的比较表明，本文方法与谱法相比，在非均匀介质中亥姆霍兹算子矩阵分解时的精度提高10倍；在计算速度方面，混合方法比简化后的直解法快。

In the second chapter we first present a decomposition of divided difference operators on non-uniform knots.

在本文的第二章我们从差商算子分解的角度出发，首先给出差商算子的细分格式，然后进一步给出了非均匀B样条级数的细分算法。

This method was mainly built on the operator matrix's singular value decomposition in the first class of operator equations, and then the best regularization parameters were selected in accordance with the characteristics of singular value so as to identify filter function, thereby removing noise of the function.

该方法主要建立在第一类算子方程的算子矩阵进行奇异值分解的基础上，然后根据奇异值的特征选取最佳正则化参数确定滤子函数，从而达到对该类函数的噪声去除效果。

In the fourth chapter,we discuss theapplication of the atomic decomposition theory to the vector-valued harmonicanalysis.We give the Hardy inequalities in the vector-valued martingale space,we also study the Mikhlin multiplier operator and singular integral operator in thevector-valued Hardy space.

第四章我们主要研究原子分解理论在向量值调和分析中的应用，建立了向量值鞅空间上的Hardy不等式，向量值Hardy空间上的Mikhlin乘子算子及一类奇异积分算子的有界性。

In recent years, K-theory has played an important role in studying the Operator Algebras. C. L. Jiang, J. S. Fang and Y. Cao find the connection between the uniquely strongly irreducible decomposition up to similarity of Type I operators and the K_0-groups of the commutants of the operators in 1990s.

近年来，K理论对算子代数与算子理论的发展起到了重要的推动作用。20世纪90年代，蒋春澜，房军生，曹阳等人发现了Ⅰ型算子的强不可约分解在相似意义下的唯一性与其换位代数的K_0群之间的内在联系。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。