论文标题
进行离散的八元分析
Towards discrete octonionic analysis
论文作者
论文摘要
近年来，对研究八月座的兴趣越来越大，这是8维超复杂数量，构成了实数最大的师范代数。特别是，近年来，经典复杂函数理论的各种工具已扩展到八世纪环境。然而，到目前为止，已经提出了与量子力学中各种应用相关的离散八世纪分析相关的结果。因此，在本文中，我们提出了对离散八世纪分析的第一个思想。特别是，我们讨论了几种八元离子分析离散化的方法，并介绍了几种离散的八世纪斯托克斯的公式。
In recent years, there is a growing interest in the studying octonions, which are 8-dimensional hypercomplex numbers forming the biggest normed division algebras over the real numbers. In particular, various tools of the classical complex function theory have been extended to the octonionic setting in recent years. However not so many results related to a discrete octonionic analysis, which is relevant for various applications in quantum mechanics, have been presented so far. Therefore, in this paper, we present first ideas towards discrete octonionic analysis. In particular, we discuss several approaches to a discretisation of octonionic analysis and present several discrete octonionic Stokes' formulae.
