Data di Pubblicazione:
2011
Citazione:
The algebraic structure of quaternionic analysis / M. Tarallo. - In: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY SIMON STEVIN. - ISSN 1370-1444. - 18:4(2011), pp. 577-621.
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Quaternionic analysis; Quaternionic linearity; Regular functions
Elenco autori:
M. Tarallo
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