A unified notion of regularity in one hypercomplex variable
Journal of Geometry and Physics(2024)
摘要
We define a very general notion of regularity for functions taking values in an alternative real ⁎-algebra. Over Clifford numbers, this notion subsumes the well-established notions of monogenic function and slice-monogenic function. Over quaternions, in addition to subsuming the notions of Fueter-regular function and of slice-regular function, it gives rise to an entirely new theory, which we develop in some detail.
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关键词
Functions of hypercomplex variable,Clifford algebras,Quaternions,Octonions
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