Fueter's theorem for monogenic functions in biaxial symmetric domains

2016/11/04 by Peña, Dixan Peña, Sabadini, Irene, Sommen, Franciscus
#30G35 #31A05 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1611.01324

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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