A kind of Hilbert Boundary Value Problem for generalized analytic functions in Clifford analysis

被引：0

作者：

Si Zhongwei ^{[1
]}

Wang Liang ^{[2
]}

Zhong Xia ^{[2
]}

Xin-Lei Feng ^{[1
]}

Liang Lina ^{[3
]}

机构：

[1] Leshan Normal Univ, Sch Math & Informat Sci, Leshan 614004, Peoples R China

[2] Weishan 1 Middle Sch, Jining 277600, Peoples R China

[3] Leshan Normal Univ, Sch Fine Arts, Leshan 614004, Peoples R China

来源：

2013 9TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND SECURITY (CIS) | 2013年

关键词：

generalized analytic function; Hilbert Boundary Value Problem; Riemann Boundary Value Problem;

D O I：

10.1109/CIS.2013.172

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Let R-0,R-n be the real Clifford algebra generated by e(1), e(2), ..., e(n) satisfying e(i)e(j) + e(j)e(i) = - 2 delta(ij) for i, j = 1, 2, ..., n. e(0) is the unit element. In this paper, we first give the kernel function for the generalized analytic function. Further, a kind of Hilbert Boundary Value Problem for generalized analytic functions in R-+(n+1) will be investigated and the solution is obtained.

引用

页码：788 / 792

页数：5

共 11 条

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Si, Zhong-Wei
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[8] THE HILBERT BOUNDARY VALUE PROBLEM FOR GENERALIZED ANALYTIC FUNCTIONS IN CLIFFORD ANALYSIS
Si, Zhongwei
Du, Jinyuan
[J]. ACTA MATHEMATICA SCIENTIA, 2013, 33 (02) : 393 - 403
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