Higher spin generalisation of Fueter's theorem. (15th April 2018)

• Record Type: Journal Article
• Authors: Eelbode, David; Janssens, Tim
• Is Part Of: Mathematical methods in the applied sciences. Volume 41:Number 13(2018)
• Page Start: 4887
• Page End: 4905
• Publication Date: 2018-04-15
• Subjects: clifford algebras -- harmonic analysis -- lie algebras -- special functions; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.4937
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this paper, we generalize Fueter's theorem to the higher spin setting. To do so, we consider an alternative proof for the celebrated theorem that uses the Fischer decomposition. This decomposition is then extended to spaces of polynomials that depend on wedge variables, after which we can finish the proof of our higher spin Fueter theorem.