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math.CV2025
Discrete octonionic analysis: a unified approach to the split-octonionic and classical settings
Rolf Sören Kraußhar, 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.CV2023
Weyl calculus perspective on the discrete Stokes' formula in octonions
Rolf Sören Kraußhar, 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…