Abstract
The regularity of a quaternionic function is reinterpreted through a new canonical decomposition of the real differential, giving new insights into the algebraic properties of the regularity itself. The result comes from a somewhat unusual point of view on the automorphisms of the quaternionic field: a general notion of quaternionic linearity is associated to them, and some unnoticed metric properties of their inner representation are used to build up the theory.
Citation
Massimo Tarallo. "The algebraic structure of quaternionic analysis." Bull. Belg. Math. Soc. Simon Stevin 18 (4) 577 - 621, november 2011. https://doi.org/10.36045/bbms/1320763125
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