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 8 Luglio, 2019  14:00
Sezione di Geometria, Algebra e loro applicazioni

Implementing zonal harmonics with the Fueter principle

 Amedeo Altavilla, Università Politecnica delle Marche
 Aula Seminari del 3 piano, Edificio La Nave, Via Ponzio 32-34
Abstract

The Fueter theorem is a well studied result in hypercomplex analysis which gives a procedure to construct hyperholomorphic functions (in some sense), starting from complex holomorphic ones.
In this talk I will show how to adapt such result in order to obtain formulas to represent real zonal harmonics in every dimension.