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Recovery of functions via their irregular sampling values

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Chinese Science Bulletin 1998年第4期43卷 268-271页

作者： FANG Gensun department of Mathematics, Beijing normal University, Beijing 100875, china department of Mathematics Lkijing Normal University Beijing China

It is proved that if a function can be completely reconstructed by tempered splines which satisfy the real Kiesz basis condition as the degree of spline goes to infinity, then the function is band limited.

关键词： band limited function cardinal splines irregular sampling.

On Holomorphic Automorphisms of a Class of Non-homogeneous Rigid Hypersurfaces in C^(N+1)

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Chinese Annals of Mathematics,Series B 2010年第2期31卷 201-210页

作者： Qingyan WU department of Mathematics,Linyi normal University,Linyi 276005,Shandong,china department of Mathematics,Zhejiang University,Hangzhou 310027,china department of Mathematics Linyi Normal University Linyi China department of Mathematics Zhejiang University Hangzhou China

The author determines the real-analytic infinitesimal CR automorphisms of a class of non-homogeneous rigid hypersurfaces in CN+1 near the origin,and the connected component containing the identity transformation of al... 详细信息

关键词： Real-analytic infinitesimal CR automorphisms Rigid hypersurfaces Holomorphic automorphisms

CONTINUITY AND LINEARITY OF ADDITIVE DERIVATIONS OF NEST ALGEBRAS ON BANACH SPACES

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Chinese Annals of Mathematics,Series B 1996年第2期17卷 227-236页

作者： HAN DEGUANG department of Mathematics, Qufa normal University, Qufu 273165, Shandong, china. department of Mathematics Qufa Normal University Qufu 273165 Shandong China

This paper discusses the problem concerning the continuity and linearity of additive derivation of nest algebras on normed spaces. It is proved that every linear derivation of a nest algebraalgN is continuous provided that one of the following conditions is satisfied: (1) 0+ (?) 0. (2)X_ (?) X. (3) there exists a non-trivial idempotent p in algN such that the range of p belongsto N. It is also proved that every additive derivation of a nest algebra is automatically linearif the underlying normed space is infinite dimemnsional.

关键词： Nest algebra Derivation Continuity Linearity Banach space

Boundedness for commutators of fractional Hardy operators on Herz spaces

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Progress in Natural Science:Materials International 2007年第1期17卷 20-25页

作者： FU Zunwei, LIU Zongguang and LU Shanzhen ( School of Mathematical Sciences, Beijing normal University, Beijing 100875, china department of Mathematics, Linyi normal University, Linyi 276005, china department of Mathematics, china University of Mining and Technology, Beijing 100083, china) School of Mathematical Sciences Beijing Normal University Beijing 100875 China department of Mathematics Linyi Normal University Linyi 276005 China department of Mathematics China University of Mining and Technology Beijing 100083 China

Some boundedness results are established for commutators generated by classical fractional Hardy operators and one-sided CMO functions on the homogeneous Herz spaces, which extends some known results.

关键词： fractional Hardy operator Hardy’s integral inequality commutator one-sided CMO function homogeneous Herz space.

On the Cayley-Bacharach property and the construction of vector bundles

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Science china Mathematics 2011年第9期54卷 1891-1898页

作者： SUN Hao 1,2 1 department of Mathematics and Statistics,Huazhong normal University,Wuhan 430079,china 2 department of Mathematics,East china normal University,Shanghai 200241,china department of Mathematics and Statistics Huazhong Normal University Wuhan China department of Mathematics East China Normal University Shanghai China

We study the Cayley-Bacharach property on complex projective smooth varieties of dimension n≥2 for zero dimensional subscheme defined by the zero set of the wedge of r-n + 1 global sections of a rank r≥n vector bund... 详细信息

关键词： Cayley-Bacharach property vector bundle reflexive sheaf k-very ample

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甘肃省普通高校大学生课外体育活动现状调查

体育科学 2004年第10期24卷 62-63,72页

作者：张兰张胜志王涛西北师范大学体育学院甘肃兰州730070 甘肃农业大学甘肃兰州730070

通过文献资料调研和问卷调查等方法 ,对甘肃省普通高校大学生参加体育活动的态度、活动形式、活动时间、参加频度、场地器材及所喜爱的运动项目等进行了全面的调查。

关键词：甘肃大学生体育活动现状调研

On the generalized Busemann-Petty problem

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Science china Mathematics 2007年第8期50卷 1103-1116页

作者： Song-jun L~(1,2+) Gang-song LENG~1 1.college of Mathematics and computer Science,Chongqing normal University,Chongqin 400047,china 2.department of Mathematics,Shanghai University,Shanghai 200444,china college of Mathematics and computer Science Chongqing Normal University Chongqin China department of Mathematics Shanghai University Shanghai China

The generalized Busemann-Petty problem asks whether the origin-symmetric convex bodies in ? n with a larger volume of all i-dimensional sections necessarily have a larger volume. As proved by Bourgain and Zhang, the answer to this question is negative if i > 3. The problem is still open for i = 2, 3. In this article we prove two specific affirmative answers to the generalized Busemann-Petty problem if the body with a smaller i-dimensional volume belongs to given classes. Our results generalize Zhang’s specific affirmative answer to the generalized Busemann-Petty problem.

关键词： star body cross i-section dual mixed volume Radon transform 52A30 52A40

Image space analysis for variational inequalities with cone constraints and applications to traffic equilibria

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Science china Mathematics 2012年第4期55卷 851-868页

作者： LI Jun 1,& HUANG NanJing 2 1 college of Mathematics and Information,china West normal University,Nanchong 637009,china 2 department of Mathematics,Sichuan University,Chengdu 610064,china college of Mathematics and Information China West Normal University Nanchong China department of Mathematics Sichuan University Chengdu China

In this paper,the image space analysis (for short,ISA) is employed to investigate variational in- equalities (for short,VI) with cone *** separation for VI with cone constraints is characterized by using the normal cone to a regularization of the image,and saddle points of the generalized Lagrangian func- ***-type necessary and sufficient optimality conditions for VI with cone constraints are presented by using a separation *** functions and weak sharpness for VI with cone constraints are also investi- ***,the obtained results are applied to standard and time-dependent traffic equilibria introduced by Daniele,Maugeri and Oettli.

关键词： variational inequality image space analysis linear separation necessary and sufficient optimalitycondition traffic equilibrium

Strong uniqueness of best approximations in spaces of bounded linear operators

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Science china Mathematics 2004年第3期47卷 339-351页

作者： LI Chong HE Jinsu department of Mathematics, Zhejiang University Hangzhou 310027, china department of Mathematics, Zhejiang normal University Jinhua 321004, china department of Mathematics Zhejiang University Hangzhou China department of Mathematics Zhejiang Normal University Jinhua China

The present paper is concerned with problems of the strong uniqueness of the best approximation and the characterization of a uniqueness element in operator *** results on the strong uniqueness of the best approximation operatorfrom RS-sets are proved and the uniqueness element of a sun in the compactoperator space from c0 to c0 is characterized by the strict Kolmogorov's *** recent results due to Lewicki and others are extended and improved.

关键词： best approximation operator, RS-set, sun, strong uniqueness, uniqueness element.