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On Some Modifications of the Fueter Operator

偏微分方程分析 2007-05-23 v9 数学物理 math.MP

摘要

We present some classes of functions that are defined on the quaternions as solutions for a linear operator that resembles the Cauchy-Riemann conditions. Unlike the Fueter regular functions; in this case the identity function is a solution and solutions are closed under the quaternionic product.

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引用

@article{arxiv.math/0412125,
  title  = {On Some Modifications of the Fueter Operator},
  author = {Daniel Alayon-Solarz},
  journal= {arXiv preprint arXiv:math/0412125},
  year   = {2007}
}