23 citations · 49 across the 27 of their papers we have counts for
7 papers · 1 filter
The discrete octonionic Stokes' formula revisited
Rolf Sören Kraußhar, 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 Kraußhar, 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…
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…
Applications of parabolic Dirac operators to the instationary viscous MHD equations on conformally flat manifolds
Paula Cerejeiras, Uwe Kähler, Rolf Sören Kraußhar
In this paper we apply classical and recent techniques from quaternionic analysis using parabolic Dirac type operators and related Teodorescu and Cauchy-Bitzadse type operators to…
Some applications of parabolic Dirac operators to the instationary Navier-Stokes problem on conformally flat cylinders and tori in
Paula Cerejeiras, Uwe Kähler, Rolf Sören Kraußhar
In this paper we give a survey on how to apply recent techniques of Clifford analysis over conformally flat manifolds to deal with instationary flow problems on cylinders and tori.…
Dirac Type Operators for Arithmetic Subgroups of Generalized Modular Groups
Elizabeth Bulla, Denis Constales, Rolf Soeren Krausshar +1
Fundamental solutions of Dirac type operators are introduced for a class of conformally flat manifolds. This class consists of manifolds obtained by factoring out the upper half-sp…
Some Conformally Flat Spin Manifolds, Dirac Operators and Automorphic Forms
Rolf Soeren Krausshar, John Ryan
In this paper we study Clifford and harmonic analysis on some conformal flat spin manifolds. In particular we treat manifolds that can be parametrized by where is a sim…