Clifford分析中一类广义解析函数的Hilbert边值问题

2013 Ninth International Conference on Computational Intelligence and Security Pub Date : 2013-12-14 DOI:10.1109/CIS.2013.172

Zhongwei Si, Liang Wang, X. Zhong, Xin-Lei Feng, Lina Liang

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引用次数: 0

摘要

设R_0, n为由e_1, e_2, cdots, e_n满足e_ie_j+e_je_i=-2 delta_ij对i, j= 1,2, cdots, n生成的实Clifford代数。e_0为单位元素。本文首先给出了广义解析函数的核函数。进一步研究了R^n+1_+中一类广义解析函数的Hilbert边值问题，并给出了该问题的解。

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A Kind of Hilbert Boundary Value Problem for Generalized Analytic Functions in Clifford Analysis

Let R_0, n be the real Clifford algebra generated by e_1, e_2, cdots, e_n satisfying e_ie_j+e_je_i=-2 delta_ij for i, j=1, 2, cdots, 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.

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2013 Ninth International Conference on Computational Intelligence and Security

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