ON STEIN-WEISS CONJUGATE HARMONIC FUNCTION AND OCTONION ANALYTIC FUNCTION 被引量：11

ON STEIN-WEISS CONJUGATE HARMONIC FUNCTION AND OCTONION ANALYTIC FUNCTION

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摘要 It is shown that the Stein-Weiss conjugate harmonic function is the Quarternion and the Octonion analytic function. We find a counter example to show the converse is not ture in the Octonion case, by which we have answered the question proposed in [1]. It is shown that the Stein-Weiss conjugate harmonic function is the Quarternion and the Octonion analytic function. We find a counter example to show the converse is not ture in the Octonion case, by which we have answered the question proposed in [1].

作者 Li Xingmin Peng Lizhong

机构地区 Department of Mathematics Department of Mathematics

出处《Analysis in Theory and Applications》 2000年第2期28-36,共9页 分析理论与应用（英文刊）

关键词 oscillatory integral operator MULTIPLIER SINGULARITY oscillatory integral operator multiplier singularity

分类号 O174.41 [理学—基础数学]

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1XingMinLI,LiZhongPENG.Three-line Theorem on the Octonions[J].Acta Mathematica Sinica,English Series,2004,20(3):483-490. 被引量：1
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10李兴民,彭立中.TAYLOR SERIES AND ORTHOGONALITY OF THE OCTONION ANALYTIC FUNCTIONS[J].Acta Mathematica Scientia,2001,21(3):323-330. 被引量：12

引证文献11

1LI XingMin,PENG LiZhong,QIAN Tao.The Paley-Wiener theorem in the non-commutative and non-associative octonions[J].Science China Mathematics,2009,52(1):129-141. 被引量：3
2XingMinLI,LiZhongPENG.Three-line Theorem on the Octonions[J].Acta Mathematica Sinica,English Series,2004,20(3):483-490. 被引量：1
3李兴民,彭立中,钱涛.非交换非结合背景下的Paley-Weiner定理[J].中国科学（A辑）,2008,38(6):620-630. 被引量：1
4李兴民,彭立中.TAYLOR SERIES AND ORTHOGONALITY OF THE OCTONION ANALYTIC FUNCTIONS[J].Acta Mathematica Scientia,2001,21(3):323-330. 被引量：12
5廖建全,李兴民.[D,φ(x),λ]=0的充分必要条件[J].数学学报（中文版）,2009,52(6):1085-1090. 被引量：1
6Jianquan Liao,Jinxun Wang,Xingmin Li.THE ALL-ASSOCIATIVITY OF OCTONIONS AND ITS APPLICATIONS[J].Analysis in Theory and Applications,2010,26(4):326-338. 被引量：2
7李兴民.八元数分析中若干结合运算定理[J].广州大学学报（自然科学版）,2002,1(1):10-14.
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1LI XingMin,PENG LiZhong,QIAN Tao.The Paley-Wiener theorem in the non-commutative and non-associative octonions[J].Science China Mathematics,2009,52(1):129-141. 被引量：3
2XingMinLI,LiZhongPENG.Three-line Theorem on the Octonions[J].Acta Mathematica Sinica,English Series,2004,20(3):483-490. 被引量：1
3李兴民,彭立中,钱涛.非交换非结合背景下的Paley-Weiner定理[J].中国科学（A辑）,2008,38(6):620-630. 被引量：1
4李敏生,李兴民.Radon变换与八元数解析函数[J].华南师范大学学报（自然科学版）,2009,41(3):14-18. 被引量：2
5Jianquan Liao,Jinxun Wang,Xingmin Li.THE ALL-ASSOCIATIVITY OF OCTONIONS AND ITS APPLICATIONS[J].Analysis in Theory and Applications,2010,26(4):326-338. 被引量：2
6廖建全,李兴民.AN IMPROVEMENT OF THE OCTONIONIC TAYLOR TYPE THEOREM[J].Acta Mathematica Scientia,2011,31(2):561-566. 被引量：3
7邓德炮,廖建全.一类八元数解析函数构成的域[J].惠州学院学报,2011,31(6):21-24.
8王晋勋,李兴民.左O-解析函数紧致奇点的可去性[J].数学学报（中文版）,2012,55(2):231-234.
9廖建全,王晋勋.D(φ(εx))=0的充分必要条件[J].数学学报（中文版）,2013,56(4):597-604. 被引量：1
10杨衍婷,杨长恩.八元数向量和矩阵的实表示[J].咸阳师范学院学报,2013,28(4):9-12. 被引量：1

1李兴民,彭立中.TAYLOR SERIES AND ORTHOGONALITY OF THE OCTONION ANALYTIC FUNCTIONS[J].Acta Mathematica Scientia,2001,21(3):323-330. 被引量：12
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3Rabha W.IBRAHIM,Janusz SOKóL.ON A NEW CLASS OF ANALYTIC FUNCTION DERIVED BY A FRACTIONAL DIFFERENTIAL OPERATOR[J].Acta Mathematica Scientia,2014,34(5):1417-1426.
4GONG Ding-dong.Inhomogeneous Cauchy-Riemann equation in Octonion space[J].Applied Mathematics(A Journal of Chinese Universities),2015,30(4):447-452.
5QI Qiu-lan,ZHANG Yu-ping.Strong Converse Inequalities for Certain Mixed Szász-Beta Operators[J].Chinese Quarterly Journal of Mathematics,2011,26(1):152-158. 被引量：2
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8戴道清,刘名生.RESEARCH ANNOUNCEMENTS On a Spectrum Problem for Analytic Function[J].数学进展,2001,30(4):381-383.
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10YANG QI.Normality Criteria of Meromorphic Functions Concerning Shared Analytic Function[J].Communications in Mathematical Research,2016,32(1):47-56. 被引量：1

Analysis in Theory and Applications

2000年第2期

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ON STEIN-WEISS CONJUGATE HARMONIC FUNCTION AND OCTONION ANALYTIC FUNCTION 被引量：11

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