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 Analyticity for the Product of Analytic Functions on Octonions and Its Applications
《Advances in Pure Mathematics》2017年第12期692-705,共14页Jianquan Liao Jinxun Wang 
Given two left Oc-analytic functions f, g in some open set Ω of R8, we obtain some sufficient conditions for fg is also left Oc-analytic in Ω. Moreover, we prove?fλ that is a left Oc-analytic function for any const...
关键词:OCTONIONS Oc-Analytic Functions Stein-Weiss Conjugate Harmonic System Cauchy-Kowalewski PRODUCT 
Multidimensional Laplace Transforms over Quaternions, Octonions and Cayley-Dickson Algebras, Their Applications to PDE
《Advances in Pure Mathematics》2012年第2期63-103,共41页Sergey Victor Ludkovsky 
Multidimensional noncommutative Laplace transforms over octonions are studied. Theorems about direct and inverse transforms and other properties of the Laplace transforms over the Cayley-Dickson algebras are proved. A...
关键词:Laplace Transform Quaternion Skew Field OCTONION ALGEBRA Cayley-Dickson ALGEBRA Partial Differential Equation NON-COMMUTATIVE Integration 
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