2 papers
math.CV2025
Discrete octonionic analysis: a unified approach to the split-octonionic and classical settings
Rolf Sören KrauÃhar, Anastasiia Legatiuk, Dmitrii Legatiuk
Various problems of mathematical physics consider octonions and split-octonions as a mathematical structure, which underpins the eight-dimensional nature of these problems. Therefo…
math.AP2024
The discrete octonionic Stokes' formula revisited
Rolf Sören KrauÃhar, Anastasiia Legatiukand, Dmitrii Legatiuk
In a previous work [arXiv:2211.02945] we made an attempt to set up a discrete octonionic Stokes' formula. Due to an algebraic property that we have not considered in that attempt,…