左 O-解析函数紧致奇点的可去性

王晋勋, 李兴民

数学学报 ›› 2012 ›› Issue (2) : 231-234.

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数学学报 ›› 2012 ›› Issue (2) : 231-234. DOI: 10.12386/A2012sxxb0023
论文

左 O-解析函数紧致奇点的可去性

    王晋勋1, 李兴民2
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Removability of Compact Singularities of Left O-Analytic Functions

    Jin Xun WANG1, Xing Min LI2
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摘要

借助于Adams等人的代数方法,我们证明了多八元数左O-解析函数以及满足一类微分方程的左O-解析函数的紧致奇点的可去性.

Abstract

In this paper, appeal to the algebraic method proposed by Adams et al., we prove the removability of compact singularities of left O-analytic functions of several octonionic variables and left O-analytic functions which satisfy a kind of partial differential equations.

关键词

八元数 / 左O-解析 / 左O-整函数

Key words

octonion / left O-analytic / left O-entire function

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王晋勋, 李兴民. 左 O-解析函数紧致奇点的可去性. 数学学报, 2012(2): 231-234 https://doi.org/10.12386/A2012sxxb0023
Jin Xun WANG, Xing Min LI. Removability of Compact Singularities of Left O-Analytic Functions. Acta Mathematica Sinica, Chinese Series, 2012(2): 231-234 https://doi.org/10.12386/A2012sxxb0023

参考文献

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[9] Liao J. Q., Li X. M., Wang J. X., Orthonormal basis of the octonionic analytic functions, J. Math. Anal. Appl., 2010, 366: 335-344.
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基金

广东省部产学研结合项目(2009B080701077)

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