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Extremal problems on the generalized Hua domain of the first type

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Progress in Natural Science:Materials International 2006年第4期16卷 352-358页

作者： SU Jianbing and YIN Weiping department of mathematics, Xuzhou Normal university, Xuzhou 221116, China department of mathematics, Capital Normal university, Beijing 100037, China department of mathematics Xuzhou Normal University Xuzhou 221116 China department of mathematics Capital Normal U-niversity Beijing 100037 China

Some extremal problems between the generalized Hua domain of the first type and the unit ball are studied. The extremal mapping and extremal value in explicit formulas are also obtained.

关键词： extremal problem generalized Hua domain of the first type minimal circumscribed Hermitian ellipsoid.

SERIES REPRESENTATION OF DAUBECHIES' WAVELETS

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Journal of Computational mathematics 1997年第1期15卷 81-96页

作者： X.G. Lu (department of Applied mathematics, Tsinghua university, Beijing, China) 清华大学应用数学系北京

This paper gives a kind of series represeotation of the scaling functions φNand the associated wavelets . constructed by Daubechies. Based on Poission sununation formula, the functions gh. φN(x+N-1), φN (x+N),'''' φN (x+2N-2)(Ox 1) are linearly represented by φN(x), φN(x + 1),''', φN(x + 2N - 2) and some polynomials of order less than N, and φ0(x):= (φN (x), φN (x + 1),''', φN (x + N -2))t is translated into a solution of a nonhomogeneous vectorvalued functional equationwhere A0, A1 are (N - 1) x (N - 1)-dimensional matrices, the components of P0(x), P1 (x) are polynomials of order less than N. By iteration, .φ0(x) is eventualy represented as an (N - 1)-dimensional vector series with vector norm where and

关键词： Pro ER Math Si WAVELETS SERIES REPRESENTATION OF DAUBECHIES

SOME RESULTS ON INFINITE DIMENSIONAL NOVIKOV ALGEBRAS

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Chinese Annals of mathematics,Series B 2003年第3期24卷 309-314页

作者： ZHAO YUFENG MENG DAOJI department of mathematics, Nankai university, Tianjin 300071, China. department of mathematics, Nankai university, Tianjin 300071, China. department of mathematics Nankai University Tianjin 300071

This paper gives some sufficient conditions for determining the simplicity of infinite di-mensional Novikov algebras of characteristic 0, and also constructs a class of simple Novikovalgebras by extending the base fie... 详细信息

关键词： Novikov algebra Novikov-Poisson Algebra Algebraic deformation

AN ACCURATE SOLUTION OF THE POISSON EQUATION BY THE FINITE DIFFERENCE-CHEBYSHEV-TAU METHOD

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Applied mathematics and Mechanics(English Edition) 2001年第8期22卷 935-939页

作者： Hani I. Siyyam (department of mathematics and statistics, Jordan university of Science and Technology, Irbid_Jordan) (Communicated by DAI Shi_qiang) department of mathematics and statistics Jordan University of Science and Technology Irbid Jordan

A new finite difference-Chebyshev-Tau method for the solution of the two-dimensional Poisson equation is presented. Some of the numerical results are also presented which indicate that the method is satisfactory and c... 详细信息

关键词： Poisson equation Chebyshev polynomials Tau method finite difference method

Comparison of fractal measures

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Science China mathematics 2005年第11期48卷 1545-1553页

作者： QU Yanhui,WEN Shengyou & WEN Zhiying department of mathematics,Tsinghua university,Beijing 100084,China department of mathematics,Hubei university, Wuhan 430062, China department of mathematics Tsinghua University Beijing China department of mathematics Hubei University Wuhan China

In this paper, the relationship between the s-dimensional Hausdorff measures and the g-measures in Rd is discussed, where g is a gauge function which is equivalent to ts and 0 < s≤d. It shows that if s=d, then Hg = c1Hd, Cg = c2Cd and Pg = c3Pd on Rd, where constants c1, c2 and c3 are determined by where Wg, Cg and Pg are the g-Hausdorff, g-central Hausdorff and g-packing measures on Rd respectively. In the case 0

关键词： gauge function Hausdorff measure central Hausdorff measure packing measure.

A note on characterization of Hardy space H^1

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Science China mathematics 2005年第4期48卷 448-455页

作者： WANG Silei department of mathematics, Zhejiang university, Hangzhou 310028, China department of mathematics Zhejiang University Hangzhou China

An all-round answer is given to the following question: 'Find a necessary and sufficient size condition for an integrable compactly supported function on Rn with mean value zero to be in the Hardy space H1.' Stefanov ... 详细信息

关键词： Hardy space Riesz transform Hilbert transform

A SMALLEST SINGULAR VALUE METHOD FOR SOLVING INVERSE EIGENVALUE PROBLEMS

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Journal of Computational mathematics 1996年第1期14卷 23-31页

作者： S.F. Xu(department of mathematics, Peking university, Beijing) 北京大学数学系北京

Utilizing the properties of the smallest singular value of a matrix, we propose a new, efficient and reliable algorithm for solving nonsymmetric matrix inverse eigenvalue problems, and compare it with a known method. ... 详细信息

关键词： Math A SMALLEST SINGULAR VALUE METHOD FOR SOLVING INVERSE EIGENVALUE PROBLEMS

The extension of the first main theorem for π-blocks

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Science China mathematics 2006年第5期49卷 620-625页

作者： HAI Jinke department of mathematics, Qingdao university, Qingdao 266071, China College of mathematics ,Shandong university, Jinan 250100, China department of mathematics Qingdao University Qingdao China College of mathematics Shandong University Jian China

Let π be a set of primes and G a π-separable group. Isaacs defines the Bπ characters, which can be viewed as the "π-modular" characters in G, such that the Bp′ characters form a set of canonical lifts for the p-modular characters. By using Isaacs' work, Slattery has developed some Brauer's ideals of p-blocks to the π-blocks of a finite π-separable group, generalizing Brauer's three main theorems to the π-blocks. In this paper, depending on Isaacs' and Slattery's work, we will extend the first main theorem for π-blocks.

关键词： π-block, π-separable group, π-regular classes, defect group.

THE CODIMENSION FORMULA ON AF-COSUBMODULES

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Chinese Annals of mathematics,Series B 2002年第3期23卷 419-424页

作者： GUO KUNYU department of mathematics, Fudan university, Shanghai 200433, China department of mathematics Fudan University Shanghai 200433 China

Let M1, M2 be submodules of analytic Hilbert module X on ?(? Cn) such that M1 ? M2 and dimM1/M2 = k < '. If M2 is an AF-cosubmodule, then the codimension dimM1/M2 of M2 in M1 equals the cardinality of zeros of M2 related to MI by counting multiplicities. The codimension formula has some interesting applications. In particular, the author calculates out the dimension of Rudin quotient module, which is raised in [14].

关键词： AF-cosubmodule Characteristic space Analytic Hilbert module