Fueter's theorem for monogenic functions in biaxial symmetric domains
Complex Variables
2016-11-07 v1
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.
Keywords
Cite
@article{arxiv.1611.01324,
title = {Fueter's theorem for monogenic functions in biaxial symmetric domains},
author = {Dixan Peña Peña and Irene Sabadini and Franciscus Sommen},
journal= {arXiv preprint arXiv:1611.01324},
year = {2016}
}
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11 pages