调和函数

调和函数的Dirichlet边值问题

The Dirichlet boundary value problem for harmonic function

利用Green公式及调和函数的性质，系统地研究三元调和函数在空间区域Ω内、外及边界上的积分表达式；

By using the green formula and the character of harmonic function , the integral expression of ternary harmonic function in the spatial region Ω, outside and on the boundary were studied .

Qp上的共轭调和函数系

Conjugate systems for harmonic functions over q_p

基于球面调和函数的3-D人脸识别方法

3-D Face Recognition Method Based on Spherical Harmonics

本文在[1]的基础上给出n连通圆界区域内调和函数的Poisson公式。

This paper gives Poisson 's formula of harmonic functions in n-Connected Circular domains based on [ 1 ] .

Clifford分析中几类调和函数的性质

Some properties for several kinds of harmonic functions in Clifford analysis

双曲Riemann曲面上有界调和函数的共轭空间

The Conjugate Space of the Bounded Harmonic Functions on Hyperbolic Riemann Surfaces

根据3-D数据的优势，利用图像成像原理和球面调和函数理论，结合3-D投影原理和PCA技术建立了一个3-D人脸模型。

A3-D face model is constructed by the imaging theory and spherical harmonics , combining with the principle of3-D projection and PCA .

利用Poisson核的卷积理论，得到了共轭调和函数系的边值特性。

Then , the properties of boundary values of the conjugate systems for harmonic functions are shown by Poisson integrals .

两个方程组的解析解均以Bessel函数和调和函数的形式来表达。

The analytic solutions of governing equations are expressed by Bessel 's functions and harmonic functions .

关于常数数量曲率的子流形和Finsler流形上的调和函数

Submanifolds with Constant Scalar Curvature and the Harmonic Function of Finsler Manifold

算子△K~2+n~2T~2与Heisenberg群上的多调和函数

The operator δ _k ~ 2 + n ~ 2t ~ 2 and pluriharmonic functions on Heisenberg Group

本文确定了单叶调和函数族SH（△、Ω）的极值点与支撑点，从而解决了该族上的线性极值问题。

In this paper , the extreme points and support points of class S_H (△,Ω) of the univalent , harmonic functions are determined . Thus the linear extremum on the S_H (△,Ω) can be solved .

多元调和函数论中Nevanlinna类的边界性质

Behavior Near the Boundary of Nevanlinna Class of Harmonic Functions of Several Variables

该文利用Markov链的理论证明了调和函数均值定理的逆.并在某λ-Holder空间中得到了一类平均算子n重卷积的收敛速度。

In this paper we apply the theory of Markov chains to prove the converse to the mean value theorem for harmonic functions . And in a λ - Holder space we derive convergent rate of n-fold convolution of averaging operator .

论文首先从椭球坐标的Laplace方程和常用的椭球谐函数出发，介绍了参考椭球面外调和函数的椭球谐级数展开。

Firstly , according to the Laplace equation of ellipsoidal coordinates and the ellipsoidal harmonic functions in common use , the ellipsoidal series expansion of harmonic functions outside the referential ellipsoidal is introduced .

为了把环境贴图应用于VR系统中，实现场景对象的真实感绘制，首先从分析球面调和函数入手，提出了漫反射环境纹理图的快速计算方法。

To realize the realistic rendering of the scene in applying environment mapping to VR systems , an approach to fast calculating diffuse environment maps was proposed starting from the analysis of spherical harmonics .

建立了超球拓扑积上的Cauchy积分公式和Schwarz积分公式，并进一步讨论了超球拓扑积上B-调和函数的充要条件。

In this paper , we establish the Cauchy integral formula and Schwarz integral formula , and discuss the sufficiently and necessary condition of B-harmonic function on the hypersphere topological product domains .

通过研究完备的、Ricci曲率非负的黎曼流形上的次调和函数的性质，给出了Yau的关于黎曼流形上的刘维尔定理的另一证明。

The property of subharmonic function on any complete Riemannian manifold with nonnegative Ricci curvature was studied , another proof of Yau 's Liouville Theorem on Riemannian manifold can be obtained .

本文主要研究了几类特殊的Reinhardt域的性质和用多重次调和函数描述其边界及Bloch空间上的复合算子和加权复合算子的性质。

This paper investigates some special Reinhardt domains , and describes their boundaries by using plurisuperharmonic fuction , and discusses the boundedness and compact of composition and weighted composition operators on Bloch space .

本文应用功的互等定理给出了三维双调和函数和Winkler基础上弹性薄板中值定理的一个新证明。

In this paper , by the application of the reciprocal theorem of work , a new proof of the mean value theorem of the solution of an elastic thin plate on Winkler foundation with a two dimensional biharmonic function is given .

α-调和函数在边界点的λ-细极限

Fine Limit of an a Harmonic Function at a Boundary Point

由调和函数构造解析函数的一种方法

A Method of Making an Analysis Function From a Harmonic Function

基于球面调和函数的漫反射表面快速光照技术的研究

Research on Fast Lighting on the Diffuse Surface Using Spherical Harmonics

本文给出调和函数极值原理的一种推广。

The note gives an extension of extremum principle for harmonic functions .

一族单叶调和函数的极值问题

On the Extremum of a Class of Univalent Harmonic Functions

用调和函数表示弹性理论方程组的一般解

Representing General Solution of Equations in Theory of Elasticity by Harmonic Functions

黎曼曲面上的φ-调和函数和φ-次调和函数

φ - harmonic and φ - sub harmonic Functions on Riemannian Surfaces

黎曼流形上Ф-次调和函数的平均值不等式

The Mean Inequality of Sub Ф - Harmonic Functions on Riemannian Manifolds

一类双调和函数的边值问题

On a class of boundary value problems for biharmonic functions