5 papers
Towards a Function Theory of Complexified Octonions
Rolf Sören Krausshar, Heikki Orelma
In this article we study devlop some fundaments for a function theory in the 16-dimensional complexified octonions.
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…
Weyl calculus perspective on the discrete Stokes' formula in octonions
Rolf Sören KrauÃhar, Dmitrii Legatiuk
Octonions are 8-dimensional hypercomplex numbers which form the biggest normed division algebras over the real numbers. Motivated by applications in theoretical physics, continuous…
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,…
Application of the Weyl calculus perspective on discrete octonionic analysis in bounded domains
Rolf Sören KrauÃhar, Anastasiia Legatiuk, Dmitrii Legatiuk
In this paper, we finish the basic development of the discrete octonionic analysis by presenting a Weyl calculus-based approach to bounded domains in . In particula…