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On Some Modifications of the Fueter Operator

Daniel Alayon-Solarz
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Abstract

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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Daniel Alayon-Solarz. 2007-02-12. On Some Modifications of the Fueter Operator. https://arxiv.org/abs/math/0412125

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