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math.AP2022★ 1 cited
Towards discrete octonionic analysis
Rolf Sören Kraußhar, Anastasiia Legatiuk, Dmitrii Legatiuk
In recent years, there is a growing interest in the studying octonions, which are 8-dimensional hypercomplex numbers forming the biggest normed division algebras over the real numb…
math.PR2022
Brownian motion, martingales and Itô formula in Clifford analysis
Swanhild Bernstein, Dmitrii Legatiuk
Clifford analysis has been the field of active research for several decades resulting in various methods to solve problems in pure and applied mathematics. However, the area of sto…