Symmetries of slice monogenic functions
type: Item
instance of: scholarly article
title: Symmetries of slice monogenic functions
zbMATH Open document ID: 1468.30083
DOI: 10.4171/JNCG/387
author: Fabrizio Colombo
author: Irene Sabadini
author: R. S. Kraußhar
published in: Journal of Noncommutative Geometry
publication date: 2021-06-14T00:00:00Z
review text: Summary: In this paper we consider the symmetry behavior of slice monogenic functions under Möbius transformations. We describe the group under which slice monogenic functions are taken into slice monogenic functions. We prove a transformation formula for composing slice monogenic functions with Möbius transformations and describe their conformal invariance. Finally, we explain two construction methods to obtain automorphic forms in the framework of this function class. We round off by presenting a precise algebraic characterization of the subset of slice monogenic linear fractional transformations within the set of general Möbius transformations.
Mathematics Subject Classification ID: 30G35
zbMATH DE Number: 7358367
zbMATH Keywords: Möbius transformations
zbMATH Keywords: slice monogenic functions
zbMATH Keywords: automorphic forms
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.4171/jncg/387
OpenAlex ID: W3093865909
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description: scientific article; zbMATH DE number 7358367