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国家自然科学基金(10471107): 作品数：24被引量：31H指数：3; 导出分析报告; 相关作者：杜金元李卫峰陈荆松张军阳路见可更多>>; 相关机构：武汉大学中南财经政法大学中国地质大学漳州师范学院更多>>; 相关期刊：《Wuhan University Journal of Natural Sciences》《武汉大学学报（理学版）》《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》更多>>; 相关主题：RIEMANN边值问题CLIFFORD分析UNIVERSALHARDY_SPACEFACTORIZATION更多>>; 相关领域：理学金属学及工艺更多>>

Generalized Integral Representations for Functions with Values in C(V_(3,3)): 《Chinese Annals of Mathematics,Series B》2011年第1期123-138,共16页Klaus GURLEBECK Zhongxiang ZHANG; Project supported by Deutscher Akademischer Austausch Dienst (German Academic Exchange Service);the National Natural Science Foundation of China (No.10471107); By using the solution to the Helmholtz equation u-λu = 0(λ≥ 0),the explicit forms of the so-called kernel functions and the higher order kernel functions are given.Then by the generalized Stokes formula,the integra...; 关键词：Universal Clifford algebra Helmholtz equation Generalized CauchyPompeiu formula

SINGULAR INTEGRAL EQUATIONS ON THE REAL AXIS WITH SOLUTIONS HAVING SINGULARITIES OF HIGHER ORDER被引量：1: 《Acta Mathematica Scientia》2010年第4期1093-1099,共7页钟寿国; Supported by the NNSF of China (10471107);RFDP of Higher Education of China (20060486001); We transform the singular integral equations with solutions simultaneously having singularities of higher order at infinite point and at several finite points on the real axis into ones along a closed contour with sol...; 关键词：Singular integral equation solution with singularities of higher order real axis infinite point class ■＊λ1 ... λn λ∞

泛Clifford分析中无界域上的Cauchy积分公式和Cauchy-Pompeiu公式(英文)被引量：1: 《数学杂志》2010年第4期571-578,共8页许娜杜金元; Supported by NNSF of China(10471107);Doctor Start-up Fund Research of Hebei University of Science and Technology(QD200942); 本文研究了泛Clifford分析中的Cauchy积分公式和Cauchy-Pompeiu公式.通过引入修正的Cauchy核,得出了取值在泛Clifford代数上的两公式在无界域上的表达式.此两公式是有界域上的相应结果的推广,并为研究无界域上的边值问题打下了基础.; 关键词：泛Clifford分析 CAUCHY积分公式 Cauchy-Pompeiu公式无界域

Clifford分析中调和函数推广的Liouville定理: 《河南师范大学学报（自然科学版）》2010年第3期1-3,39,共4页姜乐刘红彬; 国家自然科学基金(10471107);高等学校博士学科点专项科研基金(20060486001); 主要研究取值于泛Clifford代数C(Vn,n)上的调和函数的推广的Liouville定理,利用一些引理和正则函数的推广的Liouville定理,证明并得到了高维空间中调和函数的推广的Liouville定理.; 关键词：泛Clifford代数调和函数推广的Liouville定理

单位圆周上多解析函数的Riemann边值问题(英文)被引量：1: 《数学杂志》2010年第2期231-235,共5页李卫峰杜金元; Supported by NNSF of China (10471107); 本文研究了单位圆周上具不同因子的Riemann边值问题的可解性.利用转化法,得到了可解条件和解的表达式,将现有的相同因子的情况作为特例.; 关键词：RIEMANN边值问题多解析函数单位圆周可解性

实轴上的特征奇异积分方程: 《数学物理学报（A辑）》2010年第2期405-410,共6页李卫峰杜金元; 国家自然科学基金(10471107);中国地质大学优秀青年教师资助计划(CUGQNL0828)资助; 该文首先得到了实轴上的特征奇异积分方程的可解性理论.由此,得到了实轴上解具一阶奇异性的特征奇异积分方程的可解性理论,纠正了文献[8]中的错误.; 关键词：特征奇异积分方程解具一阶奇异性实轴

A CLASS OF COMPOUND VECTOR-VALUED PROBLEM AND FACTORIZATION OF MATRIX FUNCTION被引量：2: 《Acta Mathematica Scientia》2010年第1期173-179,共7页郭国安杜金元; supported by the National Natural Science Foundation of China(10471107);RFDP of Higher Education(20060486001); In this article, we consider a class of compound vector-valued problem on upper-half plane C＋, which consists of vector Riemann problem along a closed contour in C＋ with matrix coefficient in H61der class and vector...; 关键词：compound vector-valued problem Corona theorem canonical factorization Hardy space

Characteristic Singular Integral Equations with Solutions Having Singularities of Higher Order on the Real Axis被引量：1: 《Wuhan University Journal of Natural Sciences》2009年第4期299-303,共5页ZHONG Shouguo; Supported by the National Natural Science Foundation of China (10471107);the Specialized Research Fund for the Doctoral Program of Higher Education of China (20060486001); Under the appropriate hypotheses subject to the unknown function and the free term, by means of our Lemma, we prove the rationality of order at x = ∞ on two sides for the characteristic singular integral equations wi...; 关键词：characteristic singular integral equation Riemann boundary value problem （RBVP） solution with singularities of higher order real axis

Clifford分析中的Teodorescu算子: 《武汉大学学报（理学版）》2009年第4期377-380,共4页贺福利杜金元; 国家自然科学基金(10471107);高等学校博士学科点专项科研基金(20060486001)资助项目; 引入了Clifford分析中的Teodorescu算子并且证明了它们的一些性质,给出了广义微商的定义并证明了Vekua型定理.; 关键词：CLIFFORD分析 Teodorescu算子 Vekua理论

A Laurent Expansion and Residue Theorems of k-Regular Functions in Clifford Analysis被引量：2: 《Wuhan University Journal of Natural Sciences》2009年第2期97-102,共6页KU Min DU Jinyuan; Supported by the National Natural Science Foundation of China (10471107);the Specialized Research Fund for the Doctoral Program of Higher Education of China (20060486001); In this context, we mainly study the behavior in the neighborhood of finite singular points for k-regular functions in R1^n with values in R0、n. We get a Laurent expansion of them in an open set, prove its uniqueness...; 关键词：Clifford algebra k-regular functions Laurent expansion residue theorems SINGULARITY

国家自然科学基金(10471107)