Fueter's theorem for monogenic functions in biaxial symmetric domains

Dixan Peña Peña; Irene Sabadini; Franciscus Sommen

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arXiv · 1611.01324

Fueter's theorem for monogenic functions in biaxial symmetric domains

Dixan Peña Peña·Irene Sabadini·Franciscus Sommen

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Abstract

In this paper we generalize the result on Fueter's theorem from [10] by Eelbode et al. to the case of monogenic functions in biaxially symmetric domains. To obtain this result, Eelbode et al. used representation theory methods but their result also follows from a direct calculus we established in our paper [21]. In this paper we first generalize [21] to the biaxial case and derive the main result from that.

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Dixan Peña Peña, Irene Sabadini, Franciscus Sommen. 2016-11-04. Fueter's theorem for monogenic functions in biaxial symmetric domains. https://arxiv.org/abs/1611.01324

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