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调和积分

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The linear integral action will lead to phase delay to systems.

线性积分器在提高系统稳态精度的同时,也带来了π/2的相位滞后,恶化了控制系统的品质,时常引起系统快速性与稳定性之间不可调和的矛盾。

In the last chap-ter,the natural integral equation and natural boundary element method forharmonic problem on exterior elliptic domain are introduced.Then,based onthis,the natural boundary reduction method for a kind of exterior problem ofanisotropic constant coefficients elliptic equation is discussed, the natural inte-gral equation and its solving method on circular boundary and elliptic bound-ary are obtained.These results can be directly applied in coupled methodand DDM for exterior boundary value problem.

最后,讨论了椭圆外区域调和问题的自然积分算子即D-N算子及自然边界元方法,并基于此研究了一类各向异性常系数椭圆型方程外问题的自然边界归化方法,首次得到其在圆周边界及椭圆边界上的自然积分方程及其求解方法,并将这些结果直接应用于外边值问题的耦合算法。

The research of fractional integral operator and its related problems is one of the important topics in Harmonic analysis.

中文摘要:分数次积分算子相关问题的研究是调和分析中重要的课题之一。

The main contents of this course include: complex number and planar point set, function of complex variable, complex integral, series, residue, conformal mapping, analytic extension, harmonic function.

本课程的基本内容有:复数与平面点集、复变函数、复积分、级数、留数、保形映射、解析开拓、调和函数。

We obtained a kind of sufficient condition for 2-harmonic submanifolds becoming minimal submanifolds in hyperbolic space and an integral inequality like Simons integral inequality.

得到了双曲空间中2-调和子流形成为极小子流形的一个充分条件,以及一个Simons型积分不等式。

The problems concerned with Hardy class,the singular integral and fractio-nal integral operators as well as ...

Hardy类,奇异积分算子和分数次积分算子及其交换子问题在现代调和分析中具有十分重要的作用。

About the commutators of singular integral operators on the spaces of L~R~

奇异积分算子的交换子在L~p空间的有界性一直是调和分析研究的重要问题。R。

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 this paper, a sort of recursive formulas of spherical harmonics integrals, which often appear in the gravitational gradient harmonic analysis, are deduced according to the recursive formulas between every other order of spherical harmonics and the trigonometric functions'properties. And the calculated formulas on the recursive initialization also are brought forward.

本文根据球谐函数的跨次递推公式和三角函数的性质,详细推导了在重力梯度调和分析中出现的一类球楷函数积分的跨次递推公式和递推初始值的计算公式。

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Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来,英国,在此地早期居住的是凯尔特人,已经被征服了三次。

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