A~system of quaternionic equations in four-dimensional complex space
Matematičeskie zametki, Tome 23 (1978) no. 1, pp. 41-46
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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 $C^4$.
@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},
publisher = {mathdoc},
volume = {23},
number = {1},
year = {1978},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1978_23_1_a3/}
}
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/