A^（1）2n的某些水平为2的标准模的结构

在本文中我们推广了Ｍｉｓｒａ＾［１］的结果，利用Ｌｅｐｏｗｓｋｙ和Ｗｉｌｓｏｎ引进的Ｚ－代数来研究标准模的结构，对仿射李代数Ａ＾（１）２ｎ我们能够确定某些水平为２的标准模的真空空间的一组基，本文的结果同Ｍｉｓｒａ＾［５］的结果完全不同。     

轴对称问题的Wilson四边形单元

给出了一族轴对称问题的改进Ｗｉｌｓｏｎ元，利用强分片检验证明了其收敛性，讨论了单元函数结构·从而给出了一种构造收敛的轴对称非协调元方法·     

抛物型积分微分方程的非协调Wilson元方法

该文首次研究了一类非线性抛物积分微分方程的非协调四边形Ｗｉｌｓｏｎ元方法，提出了它的连续时间ＧａｌｅｒＫｉｎ逼近格式，并获得了最优Ｈ′和Ｌ２误差估计．     

空间C^n中单位球里Poisson积分的边界极限

本文考虑了Ｃ＾ｎ中单位球Ｂ里的Ｐｏｉｓｓｏｎ积分,得到该积分边界上,下极限的准确值。     

关于两个P-值逻辑函数的和函数的Chrestenson谱公式

类似于两个布尔函数的和函数的ｗａｌｓｈ谱公式,本文给出了两个３－值、５－值、７－值逻辑函数和函数的Ｃｈｒｅｓｔｅｎｓｏｎ谱公式。     

一类新的六参数非协调四边形单元

利用分析ｓｐｅｃｈｔ元的技巧，构造了一类新的非协调四边形单元，并证明由此产生的有限元对任意四边形网格收敛且效果同Ｗｉｌｓｏｎ元．ＱＰ６元是其中的特例     

Wilson标架特征及对偶性质

利用Ｗｉｌｓｏｎ的方法，可构造出一函数族，本文得到它们成为标架的判定条件．此外，还得到了其对偶标架的性质．     

复超球Bergman空间和Bloch空间上的Carleson不等式

本文研究了复超球上Ｃａｒｌｅｓｏｎ测度的特征．特别是用Ｂｅｒｇｍａｎ函数和Ｂｌｏｃｈ函数的导数的积分性质刻画了Ｃａｒｌｅｓｏｎ测度，并建立了复超球上的Ｂｅｒｇｍａｎ空间和Ｂｌｏｃｈ空间的Ｃａｒｌｅｓｏｎ不等式．     

ConcerningWeightedStirling－typePairs

ＣｏｎｃｅｒｎｉｎｇＷｅｉｇｈｔｅｄＳｔｉｒｌｉｎｇ－ｔｙｐｅＰａｉｒｓＬｅｅｔｓｃｈＣ．ＨｓｕＹｕＨｏｎｇｑｕａｎ（ＤａｌｉａｎＵｎｉｖｅｒｓｉｔｙｏｆＴｅｃｈｎｏｌｏｇｒｙ，Ｄａｌｉａｎ１１６０２４）ＣｏｎｃｅｒｎｉｎｇＷｅｉｇｈｔｅｄＳｔｉｒｌ...     

两条相互独立的非对称Cauchy过程轨道的乘积集的分形性质

设Ｘ１,Ｘ２是Ｒ＾ｄ上两条相互独立的非对称Ｃａｕｃｈｙ过程,我们求出了,两条轨道的乘积集的确切Ｈａｕｓｄｏｒｆｆ测度函数ψ（ｈ）＝ｈ＾２／ｌｏｇ＾ｈ,同时ψ（ｈ）,同时ψ（ｈ）也是图集的乘积集的确切Ｈａｕｓｄｏｒｆｆ测度函数,另外,我们还求出了乘积集的Ｈａｕｓｄｏｒｆｆ维数和Ｐａｃｋｉｎｇ维数均为２,从而证明了乘 集仍然是分形集。     

RECENT PROGRESS ON SPHERICAL HARMONIC APPROXIMATION MADE BY BNU RESEARCH GROUP ——In memory of Professor Sun Yongsheng

As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years （2001-2005）. The main topics are： convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths.     

A unified approach to certain problems of best local approximation

In this paper we study best local quasi-rational approximation and best local approximation from finite dimensional subspaces of vectorial functions of several variables. Our approach extends and unifies several problems concerning best local multi-point approximation in different norms.     

Boundedness for commutators of multipliers on Hardy type spaces

In this paper, we study the commutators generalized by multipliers and a BMO function. Under some assumptions, we establish its boundedness properties from certain atomic Hardy space Hb^p（R^n） into the Lebesgue space L^p with p 〈 1.     

THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS

<正>August 10-14,2015Beijing,ChinaThe International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists     

Towards Excellence in Science Chinese Academy of Sciences

<正>May 26,2014,Beijing Science is a human enterprise in the pursuit of knowledge.The scientific revolution that occurred in the 17th Century initiated the advances of modern science.The scientific knowledge system created by     

Bounds for the zeros of polynomials

Let P(z)=∑↓j=0↑n ajx^j be a polynomial of degree n. In this paper we prove a more general result which interalia improves upon the bounds of a class of polynomials. We also prove a result which includes some extensions and generalizations of Enestrǒm-Kakeya theorem.     

Boundedness of commutators related to Marcinkiewicz integrals on hardy type spaces

In this paper, the authors study the boundedness of the operator [μΩ, b], the commutator generated by a function b ∈ Lipβ(Rn)(0 ＜β≤ 1) and the Marcinkiewicz integrals μΩ, on the classical Hardy spaces and the Herz-type Hardy spaces in the case Ω∈ Lipα(Sn-1)(0 ＜α≤ 1).     

Jacobi polynomials used to invert the laplace transform

Given the Laplace transform F(s) of a function f(t), we develop a new algorithm to find an approximation to f(t) by the use of the classical Jacobi polynomials. The main contribution of our work is the development of a new and very effective method to determine the coefficients in the finite series expansion that approximation f(t) in terms of Jacobi polynomials. Some numerical examples are illustrated.     

Generalization of the interaction between Haar approximation and polynomial operators to higher order methods

In applications it is useful to compute the local average empirical statistics on u. A very simple relation exists when of a function f（u） of an input u from the local averages are given by a Haar approximation. The question is to know if it holds for higher order approximation methods. To do so, it is necessary to use approximate product operators defined over linear approximation spaces. These products are characterized by a Strang and Fix like condition. An explicit construction of these product operators is exhibited for piecewise polynomial functions, using Hermite interpolation. The averaging relation which holds for the Haar approximation is then recovered when the product is defined by a two point Hermite interpolation.