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Higher spin generalisation of Fueter's theorem
Author(s) -
Eelbode David,
Janssens Tim
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4937
Subject(s) - mathematics , decomposition theorem , decomposition , wedge (geometry) , structured program theorem , spin (aerodynamics) , pure mathematics , geometry , engineering , ecology , biology , aerospace engineering
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.