CLIFFORD MARTINGALES Φ-EQUIVALENCE BETWEEN S（f） AND f^＊

ＣＬＩＦＦＯＲＤＭＡＲＴＩＮＧＡＬＥＳΦ－ＥＱＵＩＶＡＬＥＮＣＥＢＥＴＷＥＥＮＳ（ｆ）ＡＮＤｆ￥ＬＯＮＧＲＵＬＩＮ；ＱＩＡＮＴＡＯ（ＩｎｓｔｉｔｕｔｅｏｆＭａｔｈｅｍａｔｉｃｓ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，Ｂｅｉｊｉｎｇ１０００８０，Ｃｈｉｎａ．）...     

BFEEDBACK CONTROL OF SINGLE-LINK FLEXIBLE ARMS

ＦＥＥＤＢＡＣＫＣＯＮＴＲＯＬＯＦＳＩＮＧＬＥ－ＬＩＮＫＦＬＥＸＩＢＬＥＡＲＭＳＦＥＮＧＤＥＸＩＮＧ（冯德兴）；ＺＨＡＮＧＷＥＩＴＡＯ（张维韬）（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ｔｈｅＣｈｉｎｅｓｅＡｃａｄｅｍｙｏｆＳｃｉｅｎｃｅ...     

A Noteon Fuzzy Groups

ＡＮｏｔｅｏｎＦｕｚｚｙＧｒｏｕｐｓＡＮｏｔｅｏｎＦｕｚｚｙＧｒｏｕｐｓＭａｎｏｒａｊａｎ；ＫｕｍａｒＳｉｎｇｈ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＧｒａｍＢｈａｒｔｉｃｏｌｌｅｇｅ，Ｒａｍｇａｒｈ（Ｋａｉｍｕｒ），ＨＢＡＢＵＡ（Ｂｉｈ...     

ON THE ｛2｝－INVERSE AND SOME ORDERING PROPERTIES OF NONNEGATIVE DEFINITE MATRICES

ＥＲＫＫＩＰ．ＬＩＳＫＩ（ＤｅｐｅｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃａｌＳｃｉｅｎｃｅｓ，ＵｎｉｖｅｒｓｉｔｙｏｆＴａｍｐｅｒｓ，Ｆｉｎｌａｎｄ）ＷＡＮＧＳＯＮＧＧＵＩ（王松桂）（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，Ｂｅｉ...     

Asymptotic Behavior for Hitting Time of Large Geodesic Spheres by Brownian Motion

ＡｓｙｍｐｔｏｔｉｃＢｅｈａｖｉｏｒｆｏｒＨｉｔｔｉｎｇＴｉｍｅｏｆＬａｒｇｅＧｅｏｄｅｓｉｃＳｐｈｅｒｅｓｂｙＢｒｏｗｎｉａｎＭｏｔｉｏｎＷａｎｇＦｅｎｇｙｕ（王凤雨）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ．Ｂｅｉｊｉｎｇ，１００８７５）...     

BLOW-UP AT THE BOUNDARY FOR DEGENERATE DIFFUSION EQUATION

ＢＬＯＷ－ＵＰＡＴＴＨＥＢＯＵＮＤＡＲＹＦＯＲＤＥＧＥＮＥＲＡＴＥＤＩＦＦＵＳＩＯＮＥＱＵＡＴＩＯＮ￥ＣａｏＺｈｅｎｃｈａｏ（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＸｉａｍｅｎＵｎｉｖ．Ｘｉａｍｅｎ３６１００５）Ａｂｓｔｒａｃｔ：Ｉｎｔｈｉｓｐａｐｅｒｃｏｎｓｉ...     

On upper bounds of bandwidths of trees

ＯＮＵＰＰＥＲＢＯＵＮＤＳＯＦＢＡＮＤＷＩＤＴＨＳＯＦＴＲＥＥＳＷＡＮＧＪＩＡＮＦＡＮＧ（王建方）（ＩｎｓｔｉｔｕｔｅｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ,ｔｈｅＣｈｉｎｅｓｅＡｃａｄｅｍｙｏｆＳｃｉｅｎｃｅｓ,Ｂｅｉｊｉｎｇ１０００８０,Ｃｈｉ...     

GENUS FIELDS， CONDUCTORS AND RELATIVE INTEGRAL BASES FOR ABELIAN FUNCTION FIELDS

ＧＥＮＵＳＦＩＥＬＤＳ，ＣＯＮＤＵＣＴＯＲＳＡＮＤＲＥＬＡＴＩＶＥＩＮＴＥＧＲＡＬＢＡＳＥＳＦＯＲＡＢＥＬＩＡＮＦＵＮＣＴＩＯＮＦＩＥＬＤＳ赵健强￥ＺｈａｏＪｉａｎｑｉａｎｇ（Ｄｅｐｔ．ｏｆＭａｔｈ．，Ｕｎｉｖ．ｏｆＳｃｉ．＆Ｔｅｃｈ．ｏｆＣｈｉｎａ...     

四边形单元检测题

四边形单元检测题（４５分钟完卷，满分１００分）一．填空题（共２５分）１．平等四边形的一个内角为１５０，周长是３０ｃｍ，面积２８ｃｍ２，则两邻边的长分别是，．２．Ｅ、Ｆ、Ｇ、Ｈ分别是矩形ＡＢＣＤ各边中点，若ＡＢ＝８ｃｍ，ＳＥＦＧＨ＝１２ｃｍ２，则ＳＡ...     

LOCAL AND GLOBAL EXPOSED POINTS

ＬＯＣＡＬＡＮＤＧＬＯＢＡＬＥＸＰＯＳＥＤＰＯＩＮＴＳＭ．Ｂｅｌｔａｇｙ（ＭａｔｈｅｍａｔｉｃｓＤｅｐａｒｔｍｅｎｔ，ＦａｃｕｌｔｙｏｆＳｃｉｅｎｃｅＴａｎｔａＵｎｉｖｅｒｓｉｔｙ，Ｅｇｙｐｔ．）Ａｂｓｔｒａｃｔ：Ｉｎｔｈｉｓｐａｐｅｒｗｅｄｅｒｉｖ...     

有界域的Bergman核函数显式表示的最新进展

对多维复数空间的有界域，如何求出它的Bergman核函数的显表达式，是多复变研究中的一个重要方向。本文综述了迄今为止的所有重要结果以及方法上的进展，特别对新近引进的华罗域，综述了它们的Bergman核函数的显表达式及其计算方法上的创新。     

第一类Cartan—Egg或的Bergman核函数

以显式给出了第一类Cartan-Egg域的Bergman核函数及其全纯自同构群。     

第四类Hua结构的Bergman核函数

本文给出了第四类Hua结构的Bergman核函数及其全纯自同构群．     

The Bergman kernels on super-Car tan domains of the first type

The Bergman kernel function and biholomorphic automorphism group for super-Cartan domain of the first type are given in explicit formulas.     

The Bergman Kernels on W_Ⅲ

In this paper, we compute the Bergman kernel function on WIII.and RIII(q) denote the Cartan domain of the third class. Because domain WIII is neither homogeneous domain nor Reinhardt domain, we will use a new way to solve this problem. First, we give a holomorphic automorphism group, such that for any Zo, there exists an element of this group, which maps (W, Zo) into (W,O). Second, introduce the concept of semi-Reinhardt and discuss the complete orthonormal system of this domain.     

Application of holomorphic invariants in reproducing kernel

We use holomorphic invariants to calculate the Bergman kernel for generalized quasi-homogeneous Reinhardt-Hartogs domains. In addition, we present a complete orthonormal basis for the Bergman space on bounded Reinhardt-Hartogs domains.     

The Bergman Kernel on Cartan-egg Domains of the First Type

Ｉｎ 1 92 1 ,Ｂｅｒｇｍａｎｉｎｔｒｏｄｕｃｅｄａｋｅｒｎｅｌｆｕｎｃｔｉｏｎ ,ｗｈｉｃｈｉｓｎｏｗｋｎｏｗｎａｓｔｈｅＢｅｒｇｍａｎｋｅｒｎｅｌｆｕｎｃｔｉｏｎ .ＩｔｉｓｗｅｌｌｋｎｏｗｎｔｈａｔｔｈｅｒｅｅｘｉｓｔｓａｕｎｉｑｕｅＢｅｒｇｍａｎｋｅｒｎｅｌｆｕｎｃｔｉｏｎｆｏｒｅａｃｈｂｏｕｎｄｅｄｄｏｍａｉｎｉｎＣｎ.ＦｏｒｗｈｉｃｈｄｏｍａｉｎｓｃａｎｔｈｅＢｅｒｇｍａｎｋｅｒｎｅｌｆｕｎｃｔｉｏｎｂｅｃｏｍｐｕｔｅｄｂｙｅｘｐｌｉｃｉｔｆｏｒｍｕｌａｓ?Ｔｈｉｓｉｓａｎｉｍｐｏｒｔａｎｔ…     

Effective methods of determining the modulus of doubly connected domains

The modulus of a doubly connected domain is determined by a quotient of certain kernel functions, namely the Bergman kernel, the reduced Bergman kernel and the square of the Szegö kernel. These methods are more efficient than methods involving the curvature of the Bergman metric.     

The explicit forms and zeros of the Bergman kernel function for Hartogs type domains

We define the Cartan–Hartogs domain, which is the Hartogs type domain constructed over the product of bounded Hermitian symmetric domains and compute the explicit form of the Bergman kernel for the Cartan–Hartogs domain using the virtual Bergman kernel. As the main contribution of this paper, we show that the main part of the explicit form of the Bergman kernel is a polynomial whose coefficients are combinations of Stirling numbers of the second kind. Using this observation, as an application, we give an algorithmic procedure to determine the condition that their Bergman kernel functions have zeros.     

Bergman kernel on generalized exceptional hua domain

We have computed the Bergman kernel functions explicitly for two types of generalized exceptional Hua domains, and also studied the asymptotic behavior of the Bergman kernel function of exceptional Hua domain near boundary points, based on Appell's multivariable hypergeometric function.