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Title
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Gegenbauer polynomials and the Fueter theorem
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Author
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Abstract
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| The Fueter theorem states that regular (resp. monogenic) functions in quaternionic (resp. Clifford) analysis can be constructed from holomorphic functions in the complex plane, hereby using a combination of a formal substitution and the action of an appropriate power of the Laplace operator. In this paper we interpret this theorem on the level of representation theory, as an intertwining map between certain -modules. |
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Language
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English
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Source (journal)
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Complex variables & elliptic equations. - Place of publication unknown
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Publication
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Place of publication unknown
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2014
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ISSN
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1747-6933
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DOI
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10.1080/17476933.2013.787531
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Volume/pages
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59
:6
(2014)
, p. 826-840
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ISI
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000334080400005
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Full text (Publisher's DOI)
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