OCTONIONS

作品数:12被引量:9H指数:2
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相关领域:理学更多>>
相关期刊:《Journal of Applied Mathematics and Physics》《Analysis in Theory and Applications》《Science China Mathematics》《Communications in Theoretical Physics》更多>>
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The Paley-Wiener theorem in the non-commutative and non-associative octonions被引量:3
《Science China Mathematics》2009年第1期129-141,共13页LI XingMin PENG LiZhong QIAN Tao 
supported by the National Basic Research Program of China (Grant No. 1999075105);the National Natural Science Foundation of China (Grant No. 10471002);Research Foundation for Doctoral Programm (Grant No. 20050574002)
The Paley-Wiener theorem in the non-commutative and non-associative octonion analytic function space is proved.
关键词:octonionic exponential function octonionic Taylor expansion Fourier transform Paley-Weiner theorem 42B35 30G35 17A35 
Three-line Theorem on the Octonions被引量:1
《Acta Mathematica Sinica,English Series》2004年第3期483-490,共8页XingMinLI LiZhongPENG 
Research supported by the NNSF (19631080);973 Project of China (1999075105);NSF of Guangdong (030497,020586);NSF of Guangzhou (232)
The three-line theorem on the octonions is obtained, which generalizes the result of J. Peetre and P. Sj?lin from the associative Clifford algebra to non-associative octonion algebra.
关键词:OCTONION O-analytic functions 3-line theorem 
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