Geodesic
A system of quaternionic equations in four-dimensional complex space
Matematičeskie zametki, Tome 23 (1978) no. 1, pp. 41-46 
V. E. Balabaev. A system of quaternionic equations in four-dimensional complex space. Matematičeskie zametki, Tome 23 (1978) no. 1, pp. 41-46. http://geodesic.mathdoc.fr/item/MZM_1978_23_1_a3/
@article{MZM_1978_23_1_a3,
     author = {V. E. Balabaev},
     title = {A~system of quaternionic equations in four-dimensional complex space},
     journal = {Matemati\v{c}eskie zametki},
     pages = {41--46},
     year = {1978},
     volume = {23},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1978_23_1_a3/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The boundary properties are studied of a class of quaternionic functions containing the class of holomorphic functions of four variables. A condition is found in order for a function defined on some five- or six-dimensional part of the whole topological boundary $\partial D$ of a domain $D\subset C^4$ of a special type to have a holomorphic continuation. The results obtained are used to solve singular integral equations in $C^4$.